+<?xml version='1.0' encoding='utf-8'?>

+<?grc format='1' created='3.7.8'?>

+<flow_graph>

+ <timestamp>Fri Jul 17 15:23:09 2015</timestamp>

+ <block>

+ <key>options</key>

+ <param>

+ <key>author</key>

+ <value>Johannes Demel</value>

+ </param>

+ <param>

+ <key>alias</key>

+ <value></value>

+ </param>

+ <param>

+ <key>category</key>

+ <value>Custom</value>

+ </param>

+ <param>

+ <key>comment</key>

+ <value></value>

+ </param>

+ <param>

+ <key>description</key>

+ <value></value>

+ </param>

+ <param>

+ <key>_enabled</key>

+ <value>True</value>

+ </param>

+ <param>

+ <key>_coordinate</key>

+ <value>(10, 10)</value>

+ </param>

+ <param>

+ <key>_rotation</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>generate_options</key>

+ <value>qt_gui</value>

+ </param>

+ <param>

+ <key>id</key>

+ <value>polar_ber_curve_gen</value>

+ </param>

+ <param>

+ <key>max_nouts</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>realtime_scheduling</key>

+ <value></value>

+ </param>

+ <param>

+ <key>run_options</key>

+ <value>prompt</value>

+ </param>

+ <param>

+ <key>run</key>

+ <value>True</value>

+ </param>

+ <param>

+ <key>thread_safe_setters</key>

+ <value></value>

+ </param>

+ <param>

+ <key>title</key>

+ <value>polar code BER curve generator</value>

+ </param>

+ <param>

+ <key>window_size</key>

+ <value>1920,1080</value>

+ </param>

+ </block>

+ <block>

+ <key>variable</key>

+ <param>

+ <key>comment</key>

+ <value></value>

+ </param>

+ <param>

+ <key>_enabled</key>

+ <value>True</value>

+ </param>

+ <param>

+ <key>_coordinate</key>

+ <value>(304, 35)</value>

+ </param>

+ <param>

+ <key>_rotation</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>id</key>

+ <value>block_size</value>

+ </param>

+ <param>

+ <key>value</key>

+ <value>1024</value>

+ </param>

+ </block>

+ <block>

+ <key>variable_cc_decoder_def</key>

+ <param>

+ <key>padding</key>

+ <value>False</value>

+ </param>

+ <param>

+ <key>comment</key>

+ <value></value>

+ </param>

+ <param>

+ <key>k</key>

+ <value>k</value>

+ </param>

+ <param>

+ <key>dim1</key>

+ <value>len(esno)</value>

+ </param>

+ <param>

+ <key>dim2</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>_enabled</key>

+ <value>True</value>

+ </param>

+ <param>

+ <key>state_end</key>

+ <value>-1</value>

+ </param>

+ <param>

+ <key>framebits</key>

+ <value>block_size</value>

+ </param>

+ <param>

+ <key>_coordinate</key>

+ <value>(1368, 395)</value>

+ </param>

+ <param>

+ <key>_rotation</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>id</key>

+ <value>dec_cc</value>

+ </param>

+ <param>

+ <key>value</key>

+ <value>"ok"</value>

+ </param>

+ <param>

+ <key>ndim</key>

+ <value>2</value>

+ </param>

+ <param>

+ <key>polys</key>

+ <value>polys</value>

+ </param>

+ <param>

+ <key>rate</key>

+ <value>rate</value>

+ </param>

+ <param>

+ <key>state_start</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>mode</key>

+ <value>fec.CC_STREAMING</value>

+ </param>

+ </block>

+ <block>

+ <key>variable_cc_encoder_def</key>

+ <param>

+ <key>padding</key>

+ <value>False</value>

+ </param>

+ <param>

+ <key>comment</key>

+ <value></value>

+ </param>

+ <param>

+ <key>k</key>

+ <value>k</value>

+ </param>

+ <param>

+ <key>dim1</key>

+ <value>len(esno)</value>

+ </param>

+ <param>

+ <key>dim2</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>_enabled</key>

+ <value>True</value>

+ </param>

+ <param>

+ <key>framebits</key>

+ <value>block_size</value>

+ </param>

+ <param>

+ <key>_coordinate</key>

+ <value>(1368, 187)</value>

+ </param>

+ <param>

+ <key>_rotation</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>id</key>

+ <value>enc_cc</value>

+ </param>

+ <param>

+ <key>ndim</key>

+ <value>2</value>

+ </param>

+ <param>

+ <key>polys</key>

+ <value>polys</value>

+ </param>

+ <param>

+ <key>rate</key>

+ <value>rate</value>

+ </param>

+ <param>

+ <key>state_start</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>mode</key>

+ <value>fec.CC_STREAMING</value>

+ </param>

+ </block>

+ <block>

+ <key>variable</key>

+ <param>

+ <key>comment</key>

+ <value></value>

+ </param>

+ <param>

+ <key>_enabled</key>

+ <value>True</value>

+ </param>

+ <param>

+ <key>_coordinate</key>

+ <value>(704, 19)</value>

+ </param>

+ <param>

+ <key>_rotation</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>id</key>

+ <value>esno</value>

+ </param>

+ <param>

+ <key>value</key>

+ <value>numpy.arange(-1, 4, 0.5)</value>

+ </param>

+ </block>

+ <block>

+ <key>variable</key>

+ <param>

+ <key>comment</key>

+ <value></value>

+ </param>

+ <param>

+ <key>_enabled</key>

+ <value>True</value>

+ </param>

+ <param>

+ <key>_coordinate</key>

+ <value>(1368, 115)</value>

+ </param>

+ <param>

+ <key>_rotation</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>id</key>

+ <value>k</value>

+ </param>

+ <param>

+ <key>value</key>

+ <value>7</value>

+ </param>

+ </block>

+ <block>

+ <key>variable</key>

+ <param>

+ <key>comment</key>

+ <value></value>

+ </param>

+ <param>

+ <key>_enabled</key>

+ <value>True</value>

+ </param>

+ <param>

+ <key>_coordinate</key>

+ <value>(536, 171)</value>

+ </param>

+ <param>

+ <key>_rotation</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>id</key>

+ <value>list_size</value>

+ </param>

+ <param>

+ <key>value</key>

+ <value>8</value>

+ </param>

+ </block>

+ <block>

+ <key>variable</key>

+ <param>

+ <key>comment</key>

+ <value></value>

+ </param>

+ <param>

+ <key>_enabled</key>

+ <value>True</value>

+ </param>

+ <param>

+ <key>_coordinate</key>

+ <value>(424, 35)</value>

+ </param>

+ <param>

+ <key>_rotation</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>id</key>

+ <value>n_info_bits</value>

+ </param>

+ <param>

+ <key>value</key>

+ <value>block_size / 2</value>

+ </param>

+ </block>

+ <block>

+ <key>variable_polar_code_configurator</key>

+ <param>

+ <key>num_info_bits</key>

+ <value>n_info_bits</value>

+ </param>

+ <param>

+ <key>block_size</key>

+ <value>block_size</value>

+ </param>

+ <param>

+ <key>channel</key>

+ <value>bsc</value>

+ </param>

+ <param>

+ <key>comment</key>

+ <value></value>

+ </param>

+ <param>

+ <key>_enabled</key>

+ <value>True</value>

+ </param>

+ <param>

+ <key>_coordinate</key>

+ <value>(328, 107)</value>

+ </param>

+ <param>

+ <key>_rotation</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>id</key>

+ <value>polar_config</value>

+ </param>

+ <param>

+ <key>design_snr</key>

+ <value>0.0</value>

+ </param>

+ <param>

+ <key>mu</key>

+ <value>32</value>

+ </param>

+ </block>

+ <block>

+ <key>variable_polar_decoder_sc_def</key>

+ <param>

+ <key>num_info_bits</key>

+ <value>n_info_bits</value>

+ </param>

+ <param>

+ <key>block_size</key>

+ <value>block_size</value>

+ </param>

+ <param>

+ <key>comment</key>

+ <value></value>

+ </param>

+ <param>

+ <key>dim1</key>

+ <value>len(esno)</value>

+ </param>

+ <param>

+ <key>dim2</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>_enabled</key>

+ <value>True</value>

+ </param>

+ <param>

+ <key>frozen_bit_positions</key>

+ <value>polar_config['positions']</value>

+ </param>

+ <param>

+ <key>frozen_bit_values</key>

+ <value>polar_config['values']</value>

+ </param>

+ <param>

+ <key>_coordinate</key>

+ <value>(192, 419)</value>

+ </param>

+ <param>

+ <key>_rotation</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>id</key>

+ <value>polar_decoder</value>

+ </param>

+ <param>

+ <key>is_packed</key>

+ <value>False</value>

+ </param>

+ <param>

+ <key>ndim</key>

+ <value>2</value>

+ </param>

+ </block>

+ <block>

+ <key>variable_polar_encoder_def</key>

+ <param>

+ <key>num_info_bits</key>

+ <value>n_info_bits</value>

+ </param>

+ <param>

+ <key>block_size</key>

+ <value>block_size</value>

+ </param>

+ <param>

+ <key>comment</key>

+ <value></value>

+ </param>

+ <param>

+ <key>dim1</key>

+ <value>len(esno)</value>

+ </param>

+ <param>

+ <key>dim2</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>_enabled</key>

+ <value>True</value>

+ </param>

+ <param>

+ <key>frozen_bit_positions</key>

+ <value>polar_config['positions']</value>

+ </param>

+ <param>

+ <key>frozen_bit_values</key>

+ <value>polar_config['values']</value>

+ </param>

+ <param>

+ <key>_coordinate</key>

+ <value>(192, 251)</value>

+ </param>

+ <param>

+ <key>_rotation</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>id</key>

+ <value>polar_encoder</value>

+ </param>

+ <param>

+ <key>is_packed</key>

+ <value>False</value>

+ </param>

+ <param>

+ <key>ndim</key>

+ <value>2</value>

+ </param>

+ </block>

+ <block>

+ <key>variable_polar_encoder_def</key>

+ <param>

+ <key>num_info_bits</key>

+ <value>n_info_bits</value>

+ </param>

+ <param>

+ <key>block_size</key>

+ <value>block_size</value>

+ </param>

+ <param>

+ <key>comment</key>

+ <value></value>

+ </param>

+ <param>

+ <key>dim1</key>

+ <value>len(esno)</value>

+ </param>

+ <param>

+ <key>dim2</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>_enabled</key>

+ <value>True</value>

+ </param>

+ <param>

+ <key>frozen_bit_positions</key>

+ <value>polar_config['positions']</value>

+ </param>

+ <param>

+ <key>frozen_bit_values</key>

+ <value>polar_config['values']</value>

+ </param>

+ <param>

+ <key>_coordinate</key>

+ <value>(456, 243)</value>

+ </param>

+ <param>

+ <key>_rotation</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>id</key>

+ <value>polar_encoder_scld</value>

+ </param>

+ <param>

+ <key>is_packed</key>

+ <value>False</value>

+ </param>

+ <param>

+ <key>ndim</key>

+ <value>2</value>

+ </param>

+ </block>

+ <block>

+ <key>variable_polar_decoder_sc_list_def</key>

+ <param>

+ <key>num_info_bits</key>

+ <value>n_info_bits</value>

+ </param>

+ <param>

+ <key>block_size</key>

+ <value>block_size</value>

+ </param>

+ <param>

+ <key>comment</key>

+ <value></value>

+ </param>

+ <param>

+ <key>dim1</key>

+ <value>len(esno)</value>

+ </param>

+ <param>

+ <key>dim2</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>_enabled</key>

+ <value>True</value>

+ </param>

+ <param>

+ <key>frozen_bit_positions</key>

+ <value>polar_config['positions']</value>

+ </param>

+ <param>

+ <key>frozen_bit_values</key>

+ <value>polar_config['values']</value>

+ </param>

+ <param>

+ <key>_coordinate</key>

+ <value>(456, 411)</value>

+ </param>

+ <param>

+ <key>_rotation</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>id</key>

+ <value>polar_scld</value>

+ </param>

+ <param>

+ <key>max_list_size</key>

+ <value>list_size</value>

+ </param>

+ <param>

+ <key>is_packed</key>

+ <value>False</value>

+ </param>

+ <param>

+ <key>ndim</key>

+ <value>2</value>

+ </param>

+ </block>

+ <block>

+ <key>variable</key>

+ <param>

+ <key>comment</key>

+ <value></value>

+ </param>

+ <param>

+ <key>_enabled</key>

+ <value>True</value>

+ </param>

+ <param>

+ <key>_coordinate</key>

+ <value>(1440, 115)</value>

+ </param>

+ <param>

+ <key>_rotation</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>id</key>

+ <value>polys</value>

+ </param>

+ <param>

+ <key>value</key>

+ <value>[79, 109]</value>

+ </param>

+ </block>

+ <block>

+ <key>variable</key>

+ <param>

+ <key>comment</key>

+ <value></value>

+ </param>

+ <param>

+ <key>_enabled</key>

+ <value>True</value>

+ </param>

+ <param>

+ <key>_coordinate</key>

+ <value>(1368, 51)</value>

+ </param>

+ <param>

+ <key>_rotation</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>id</key>

+ <value>rate</value>

+ </param>

+ <param>

+ <key>value</key>

+ <value>2</value>

+ </param>

+ </block>

+ <block>

+ <key>variable</key>

+ <param>

+ <key>comment</key>

+ <value></value>

+ </param>

+ <param>

+ <key>_enabled</key>

+ <value>True</value>

+ </param>

+ <param>

+ <key>_coordinate</key>

+ <value>(16, 107)</value>

+ </param>

+ <param>

+ <key>_rotation</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>id</key>

+ <value>samp_rate</value>

+ </param>

+ <param>

+ <key>value</key>

+ <value>350e3</value>

+ </param>

+ </block>

+ <block>

+ <key>fec_bercurve_generator</key>

+ <param>

+ <key>alias</key>

+ <value></value>

+ </param>

+ <param>

+ <key>comment</key>

+ <value></value>

+ </param>

+ <param>

+ <key>affinity</key>

+ <value></value>

+ </param>

+ <param>

+ <key>decoder_list</key>

+ <value>polar_decoder</value>

+ </param>

+ <param>

+ <key>_enabled</key>

+ <value>True</value>

+ </param>

+ <param>

+ <key>encoder_list</key>

+ <value>polar_encoder</value>

+ </param>

+ <param>

+ <key>esno</key>

+ <value>esno</value>

+ </param>

+ <param>

+ <key>_coordinate</key>

+ <value>(808, 123)</value>

+ </param>

+ <param>

+ <key>_rotation</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>id</key>

+ <value>polar_curve_gen_sc</value>

+ </param>

+ <param>

+ <key>maxoutbuf</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>minoutbuf</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>seed</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>puncpat</key>

+ <value>'11'</value>

+ </param>

+ <param>

+ <key>samp_rate</key>

+ <value>3200000</value>

+ </param>

+ <param>

+ <key>threadtype</key>

+ <value>"none"</value>

+ </param>

+ <bus_source>1</bus_source>

+ </block>

+ <block>

+ <key>fec_bercurve_generator</key>

+ <param>

+ <key>alias</key>

+ <value></value>

+ </param>

+ <param>

+ <key>comment</key>

+ <value></value>

+ </param>

+ <param>

+ <key>affinity</key>

+ <value></value>

+ </param>

+ <param>

+ <key>decoder_list</key>

+ <value>polar_scld</value>

+ </param>

+ <param>

+ <key>_enabled</key>

+ <value>True</value>

+ </param>

+ <param>

+ <key>encoder_list</key>

+ <value>polar_encoder_scld</value>

+ </param>

+ <param>

+ <key>esno</key>

+ <value>esno</value>

+ </param>

+ <param>

+ <key>_coordinate</key>

+ <value>(808, 227)</value>

+ </param>

+ <param>

+ <key>_rotation</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>id</key>

+ <value>polar_curve_gen_scld</value>

+ </param>

+ <param>

+ <key>maxoutbuf</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>minoutbuf</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>seed</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>puncpat</key>

+ <value>'11'</value>

+ </param>

+ <param>

+ <key>samp_rate</key>

+ <value>3200000</value>

+ </param>

+ <param>

+ <key>threadtype</key>

+ <value>"none"</value>

+ </param>

+ <bus_source>1</bus_source>

+ </block>

+ <block>

+ <key>fec_bercurve_generator</key>

+ <param>

+ <key>alias</key>

+ <value></value>

+ </param>

+ <param>

+ <key>comment</key>

+ <value></value>

+ </param>

+ <param>

+ <key>affinity</key>

+ <value></value>

+ </param>

+ <param>

+ <key>decoder_list</key>

+ <value>dec_cc</value>

+ </param>

+ <param>

+ <key>_enabled</key>

+ <value>True</value>

+ </param>

+ <param>

+ <key>encoder_list</key>

+ <value>enc_cc</value>

+ </param>

+ <param>

+ <key>esno</key>

+ <value>esno</value>

+ </param>

+ <param>

+ <key>_coordinate</key>

+ <value>(808, 331)</value>

+ </param>

+ <param>

+ <key>_rotation</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>id</key>

+ <value>polar_curve_gen_scld_0</value>

+ </param>

+ <param>

+ <key>maxoutbuf</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>minoutbuf</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>seed</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>puncpat</key>

+ <value>'11'</value>

+ </param>

+ <param>

+ <key>samp_rate</key>

+ <value>3200000</value>

+ </param>

+ <param>

+ <key>threadtype</key>

+ <value>"capillary"</value>

+ </param>

+ <bus_source>1</bus_source>

+ </block>

+ <block>

+ <key>qtgui_bercurve_sink</key>

+ <param>

+ <key>berlimit</key>

+ <value>-7.0</value>

+ </param>

+ <param>

+ <key>alias</key>

+ <value></value>

+ </param>

+ <param>

+ <key>comment</key>

+ <value></value>

+ </param>

+ <param>

+ <key>affinity</key>

+ <value></value>

+ </param>

+ <param>

+ <key>curvenames</key>

+ <value>['POLAR decoder', 'POLAR decoder list', 'CC']</value>

+ </param>

+ <param>

+ <key>_enabled</key>

+ <value>True</value>

+ </param>

+ <param>

+ <key>_coordinate</key>

+ <value>(1176, 146)</value>

+ </param>

+ <param>

+ <key>gui_hint</key>

+ <value></value>

+ </param>

+ <param>

+ <key>_rotation</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>id</key>

+ <value>qtgui_bercurve_sink_0</value>

+ </param>

+ <param>

+ <key>alpha1</key>

+ <value>1.0</value>

+ </param>

+ <param>

+ <key>color1</key>

+ <value>"blue"</value>

+ </param>

+ <param>

+ <key>label1</key>

+ <value>POLAR decoder</value>

+ </param>

+ <param>

+ <key>marker1</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>style1</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>width1</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>alpha10</key>

+ <value>1.0</value>

+ </param>

+ <param>

+ <key>color10</key>

+ <value>"blue"</value>

+ </param>

+ <param>

+ <key>label10</key>

+ <value></value>

+ </param>

+ <param>

+ <key>marker10</key>

+ <value>0</value>

+ </param>

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+ <key>style10</key>

+ <value>1</value>

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+ <value>1</value>

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+ <value>1.0</value>

+ </param>

+ <param>

+ <key>color2</key>

+ <value>"red"</value>

+ </param>

+ <param>

+ <key>label2</key>

+ <value>POLAR list decoder</value>

+ </param>

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+ <key>marker2</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>style2</key>

+ <value>1</value>

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+ <value>1</value>

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+ <value>1.0</value>

+ </param>

+ <param>

+ <key>color3</key>

+ <value>"green"</value>

+ </param>

+ <param>

+ <key>label3</key>

+ <value>CC convolutional</value>

+ </param>

+ <param>

+ <key>marker3</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>style3</key>

+ <value>1</value>

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+ <key>width3</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>alpha4</key>

+ <value>1.0</value>

+ </param>

+ <param>

+ <key>color4</key>

+ <value>"black"</value>

+ </param>

+ <param>

+ <key>label4</key>

+ <value></value>

+ </param>

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+ <key>marker4</key>

+ <value>0</value>

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+ <value>1</value>

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+ <value>1</value>

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+ <param>

+ <key>alpha5</key>

+ <value>1.0</value>

+ </param>

+ <param>

+ <key>color5</key>

+ <value>"cyan"</value>

+ </param>

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+ <value></value>

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+ <value>0</value>

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+ <value>1</value>

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+ <value>1</value>

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+ <value>1.0</value>

+ </param>

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+ <value>"magenta"</value>

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+ <value></value>

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+ <value>0</value>

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+ <value>1</value>

+ </param>

+ <param>

+ <key>alpha7</key>

+ <value>1.0</value>

+ </param>

+ <param>

+ <key>color7</key>

+ <value>"yellow"</value>

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+ <value></value>

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+ <value>1.0</value>

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+ <param>

+ <key>color8</key>

+ <value>"dark red"</value>

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+ <value></value>

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+ <value>1</value>

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+ <value>1.0</value>

+ </param>

+ <param>

+ <key>color9</key>

+ <value>"dark green"</value>

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+ <value></value>

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+ <key>marker9</key>

+ <value>0</value>

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+ <key>style9</key>

+ <value>1</value>

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+ <param>

+ <key>width9</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>berminerrors</key>

+ <value>100</value>

+ </param>

+ <param>

+ <key>num_curves</key>

+ <value>3</value>

+ </param>

+ <param>

+ <key>update_time</key>

+ <value>0.10</value>

+ </param>

+ <param>

+ <key>ymax</key>

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+ <param>

+ <key>ymin</key>

+ <value>-10</value>

+ </param>

+ <param>

+ <key>esno</key>

+ <value>esno</value>

+ </param>

+ <bus_sink>1</bus_sink>

+ </block>

+ <connection>

+ <source_block_id>polar_curve_gen_sc</source_block_id>

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+ <source_key>9</source_key>

+ <sink_key>49</sink_key>

+ </connection>

+</flow_graph>

+<?xml version='1.0' encoding='utf-8'?>

+<?grc format='1' created='3.7.8'?>

+<flow_graph>

+ <timestamp>Thu Jul 16 16:19:12 2015</timestamp>

+ <block>

+ <key>options</key>

+ <param>

+ <key>author</key>

+ <value>Johannes Demel</value>

+ </param>

+ <param>

+ <key>alias</key>

+ <value></value>

+ </param>

+ <param>

+ <key>category</key>

+ <value>Custom</value>

+ </param>

+ <param>

+ <key>comment</key>

+ <value></value>

+ </param>

+ <param>

+ <key>description</key>

+ <value></value>

+ </param>

+ <param>

+ <key>_enabled</key>

+ <value>True</value>

+ </param>

+ <param>

+ <key>_coordinate</key>

+ <value>(10, 10)</value>

+ </param>

+ <param>

+ <key>_rotation</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>generate_options</key>

+ <value>qt_gui</value>

+ </param>

+ <param>

+ <key>id</key>

+ <value>polar_code_example</value>

+ </param>

+ <param>

+ <key>max_nouts</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>realtime_scheduling</key>

+ <value></value>

+ </param>

+ <param>

+ <key>run_options</key>

+ <value>prompt</value>

+ </param>

+ <param>

+ <key>run</key>

+ <value>True</value>

+ </param>

+ <param>

+ <key>thread_safe_setters</key>

+ <value></value>

+ </param>

+ <param>

+ <key>title</key>

+ <value>POLAR code example flowgraph</value>

+ </param>

+ <param>

+ <key>window_size</key>

+ <value>1280, 1024</value>

+ </param>

+ </block>

+ <block>

+ <key>variable</key>

+ <param>

+ <key>comment</key>

+ <value></value>

+ </param>

+ <param>

+ <key>_enabled</key>

+ <value>True</value>

+ </param>

+ <param>

+ <key>_coordinate</key>

+ <value>(440, 11)</value>

+ </param>

+ <param>

+ <key>_rotation</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>id</key>

+ <value>block_size</value>

+ </param>

+ <param>

+ <key>value</key>

+ <value>1024</value>

+ </param>

+ </block>

+ <block>

+ <key>variable</key>

+ <param>

+ <key>comment</key>

+ <value></value>

+ </param>

+ <param>

+ <key>_enabled</key>

+ <value>True</value>

+ </param>

+ <param>

+ <key>_coordinate</key>

+ <value>(560, 11)</value>

+ </param>

+ <param>

+ <key>_rotation</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>id</key>

+ <value>n_info_bits</value>

+ </param>

+ <param>

+ <key>value</key>

+ <value>block_size / 2</value>

+ </param>

+ </block>

+ <block>

+ <key>variable_polar_code_configurator</key>

+ <param>

+ <key>num_info_bits</key>

+ <value>n_info_bits</value>

+ </param>

+ <param>

+ <key>block_size</key>

+ <value>block_size</value>

+ </param>

+ <param>

+ <key>channel</key>

+ <value>bsc</value>

+ </param>

+ <param>

+ <key>comment</key>

+ <value></value>

+ </param>

+ <param>

+ <key>_enabled</key>

+ <value>True</value>

+ </param>

+ <param>

+ <key>_coordinate</key>

+ <value>(456, 75)</value>

+ </param>

+ <param>

+ <key>_rotation</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>id</key>

+ <value>polar_config</value>

+ </param>

+ <param>

+ <key>design_snr</key>

+ <value>0.0</value>

+ </param>

+ <param>

+ <key>mu</key>

+ <value>32</value>

+ </param>

+ </block>

+ <block>

+ <key>variable_polar_decoder_sc_def</key>

+ <param>

+ <key>num_info_bits</key>

+ <value>n_info_bits</value>

+ </param>

+ <param>

+ <key>block_size</key>

+ <value>block_size</value>

+ </param>

+ <param>

+ <key>comment</key>

+ <value></value>

+ </param>

+ <param>

+ <key>dim1</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>dim2</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>_enabled</key>

+ <value>True</value>

+ </param>

+ <param>

+ <key>frozen_bit_positions</key>

+ <value>polar_config['positions']</value>

+ </param>

+ <param>

+ <key>frozen_bit_values</key>

+ <value>polar_config['values']</value>

+ </param>

+ <param>

+ <key>_coordinate</key>

+ <value>(640, 203)</value>

+ </param>

+ <param>

+ <key>_rotation</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>id</key>

+ <value>polar_decoder</value>

+ </param>

+ <param>

+ <key>is_packed</key>

+ <value>False</value>

+ </param>

+ <param>

+ <key>ndim</key>

+ <value>0</value>

+ </param>

+ </block>

+ <block>

+ <key>variable_polar_encoder_def</key>

+ <param>

+ <key>num_info_bits</key>

+ <value>n_info_bits</value>

+ </param>

+ <param>

+ <key>block_size</key>

+ <value>block_size</value>

+ </param>

+ <param>

+ <key>comment</key>

+ <value></value>

+ </param>

+ <param>

+ <key>dim1</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>dim2</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>_enabled</key>

+ <value>True</value>

+ </param>

+ <param>

+ <key>frozen_bit_positions</key>

+ <value>polar_config['positions']</value>

+ </param>

+ <param>

+ <key>frozen_bit_values</key>

+ <value>polar_config['values']</value>

+ </param>

+ <param>

+ <key>_coordinate</key>

+ <value>(256, 203)</value>

+ </param>

+ <param>

+ <key>_rotation</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>id</key>

+ <value>polar_encoder</value>

+ </param>

+ <param>

+ <key>is_packed</key>

+ <value>False</value>

+ </param>

+ <param>

+ <key>ndim</key>

+ <value>0</value>

+ </param>

+ </block>

+ <block>

+ <key>variable_polar_decoder_sc_list_def</key>

+ <param>

+ <key>num_info_bits</key>

+ <value>n_info_bits</value>

+ </param>

+ <param>

+ <key>block_size</key>

+ <value>block_size</value>

+ </param>

+ <param>

+ <key>comment</key>

+ <value></value>

+ </param>

+ <param>

+ <key>dim1</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>dim2</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>_enabled</key>

+ <value>True</value>

+ </param>

+ <param>

+ <key>frozen_bit_positions</key>

+ <value>polar_config['positions']</value>

+ </param>

+ <param>

+ <key>frozen_bit_values</key>

+ <value>polar_config['values']</value>

+ </param>

+ <param>

+ <key>_coordinate</key>

+ <value>(424, 203)</value>

+ </param>

+ <param>

+ <key>_rotation</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>id</key>

+ <value>polar_scld</value>

+ </param>

+ <param>

+ <key>max_list_size</key>

+ <value>8</value>

+ </param>

+ <param>

+ <key>is_packed</key>

+ <value>False</value>

+ </param>

+ <param>

+ <key>ndim</key>

+ <value>0</value>

+ </param>

+ </block>

+ <block>

+ <key>variable</key>

+ <param>

+ <key>comment</key>

+ <value></value>

+ </param>

+ <param>

+ <key>_enabled</key>

+ <value>True</value>

+ </param>

+ <param>

+ <key>_coordinate</key>

+ <value>(8, 107)</value>

+ </param>

+ <param>

+ <key>_rotation</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>id</key>

+ <value>samp_rate</value>

+ </param>

+ <param>

+ <key>value</key>

+ <value>350e3</value>

+ </param>

+ </block>

+ <block>

+ <key>analog_random_source_x</key>

+ <param>

+ <key>alias</key>

+ <value></value>

+ </param>

+ <param>

+ <key>comment</key>

+ <value></value>

+ </param>

+ <param>

+ <key>affinity</key>

+ <value></value>

+ </param>

+ <param>

+ <key>_enabled</key>

+ <value>True</value>

+ </param>

+ <param>

+ <key>_coordinate</key>

+ <value>(40, 467)</value>

+ </param>

+ <param>

+ <key>_rotation</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>id</key>

+ <value>analog_random_source_x_0</value>

+ </param>

+ <param>

+ <key>maxoutbuf</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>max</key>

+ <value>2</value>

+ </param>

+ <param>

+ <key>minoutbuf</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>min</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>num_samps</key>

+ <value>2 ** 10 +1</value>

+ </param>

+ <param>

+ <key>type</key>

+ <value>byte</value>

+ </param>

+ <param>

+ <key>repeat</key>

+ <value>True</value>

+ </param>

+ </block>

+ <block>

+ <key>blocks_add_const_vxx</key>

+ <param>

+ <key>alias</key>

+ <value></value>

+ </param>

+ <param>

+ <key>comment</key>

+ <value></value>

+ </param>

+ <param>

+ <key>const</key>

+ <value>1.0</value>

+ </param>

+ <param>

+ <key>affinity</key>

+ <value></value>

+ </param>

+ <param>

+ <key>_enabled</key>

+ <value>True</value>

+ </param>

+ <param>

+ <key>_coordinate</key>

+ <value>(616, 491)</value>

+ </param>

+ <param>

+ <key>_rotation</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>id</key>

+ <value>blocks_add_const_vxx_0</value>

+ </param>

+ <param>

+ <key>type</key>

+ <value>float</value>

+ </param>

+ <param>

+ <key>maxoutbuf</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>minoutbuf</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>vlen</key>

+ <value>1</value>

+ </param>

+ </block>

+ <block>

+ <key>blocks_char_to_float</key>

+ <param>

+ <key>alias</key>

+ <value></value>

+ </param>

+ <param>

+ <key>comment</key>

+ <value></value>

+ </param>

+ <param>

+ <key>affinity</key>

+ <value></value>

+ </param>

+ <param>

+ <key>_enabled</key>

+ <value>True</value>

+ </param>

+ <param>

+ <key>_coordinate</key>

+ <value>(976, 491)</value>

+ </param>

+ <param>

+ <key>_rotation</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>id</key>

+ <value>blocks_char_to_float_0</value>

+ </param>

+ <param>

+ <key>maxoutbuf</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>minoutbuf</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>scale</key>

+ <value>1.0</value>

+ </param>

+ <param>

+ <key>vlen</key>

+ <value>1</value>

+ </param>

+ </block>

+ <block>

+ <key>blocks_char_to_float</key>

+ <param>

+ <key>alias</key>

+ <value></value>

+ </param>

+ <param>

+ <key>comment</key>

+ <value></value>

+ </param>

+ <param>

+ <key>affinity</key>

+ <value></value>

+ </param>

+ <param>

+ <key>_enabled</key>

+ <value>True</value>

+ </param>

+ <param>

+ <key>_coordinate</key>

+ <value>(480, 491)</value>

+ </param>

+ <param>

+ <key>_rotation</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>id</key>

+ <value>blocks_char_to_float_0_0</value>

+ </param>

+ <param>

+ <key>maxoutbuf</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>minoutbuf</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>scale</key>

+ <value>-0.5</value>

+ </param>

+ <param>

+ <key>vlen</key>

+ <value>1</value>

+ </param>

+ </block>

+ <block>

+ <key>fec_ber_bf</key>

+ <param>

+ <key>berlimit</key>

+ <value>-7.0</value>

+ </param>

+ <param>

+ <key>berminerrors</key>

+ <value>100</value>

+ </param>

+ <param>

+ <key>alias</key>

+ <value></value>

+ </param>

+ <param>

+ <key>comment</key>

+ <value></value>

+ </param>

+ <param>

+ <key>affinity</key>

+ <value></value>

+ </param>

+ <param>

+ <key>_enabled</key>

+ <value>True</value>

+ </param>

+ <param>

+ <key>_coordinate</key>

+ <value>(728, 360)</value>

+ </param>

+ <param>

+ <key>_rotation</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>id</key>

+ <value>fec_ber_bf_0</value>

+ </param>

+ <param>

+ <key>maxoutbuf</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>minoutbuf</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>test_mode</key>

+ <value>False</value>

+ </param>

+ </block>

+ <block>

+ <key>fec_extended_decoder</key>

+ <param>

+ <key>ann</key>

+ <value>None</value>

+ </param>

+ <param>

+ <key>alias</key>

+ <value></value>

+ </param>

+ <param>

+ <key>comment</key>

+ <value></value>

+ </param>

+ <param>

+ <key>affinity</key>

+ <value></value>

+ </param>

+ <param>

+ <key>decoder_list</key>

+ <value>polar_scld</value>

+ </param>

+ <param>

+ <key>_enabled</key>

+ <value>True</value>

+ </param>

+ <param>

+ <key>_coordinate</key>

+ <value>(736, 467)</value>

+ </param>

+ <param>

+ <key>_rotation</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>id</key>

+ <value>fec_extended_decoder_0</value>

+ </param>

+ <param>

+ <key>maxoutbuf</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>minoutbuf</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>puncpat</key>

+ <value>'11'</value>

+ </param>

+ <param>

+ <key>threadtype</key>

+ <value>none</value>

+ </param>

+ <param>

+ <key>value</key>

+ <value>fec_extended_decoder</value>

+ </param>

+ </block>

+ <block>

+ <key>fec_extended_encoder</key>

+ <param>

+ <key>alias</key>

+ <value></value>

+ </param>

+ <param>

+ <key>comment</key>

+ <value></value>

+ </param>

+ <param>

+ <key>affinity</key>

+ <value></value>

+ </param>

+ <param>

+ <key>_enabled</key>

+ <value>True</value>

+ </param>

+ <param>

+ <key>encoder_list</key>

+ <value>polar_encoder</value>

+ </param>

+ <param>

+ <key>_coordinate</key>

+ <value>(224, 475)</value>

+ </param>

+ <param>

+ <key>_rotation</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>id</key>

+ <value>fec_extended_encoder_0</value>

+ </param>

+ <param>

+ <key>maxoutbuf</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>minoutbuf</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>puncpat</key>

+ <value>'11'</value>

+ </param>

+ <param>

+ <key>threadtype</key>

+ <value>none</value>

+ </param>

+ </block>

+ <block>

+ <key>qtgui_number_sink</key>

+ <param>

+ <key>autoscale</key>

+ <value>False</value>

+ </param>

+ <param>

+ <key>avg</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>alias</key>

+ <value></value>

+ </param>

+ <param>

+ <key>comment</key>

+ <value></value>

+ </param>

+ <param>

+ <key>affinity</key>

+ <value></value>

+ </param>

+ <param>

+ <key>_enabled</key>

+ <value>True</value>

+ </param>

+ <param>

+ <key>_coordinate</key>

+ <value>(1008, 355)</value>

+ </param>

+ <param>

+ <key>gui_hint</key>

+ <value></value>

+ </param>

+ <param>

+ <key>_rotation</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>graph_type</key>

+ <value>qtgui.NUM_GRAPH_HORIZ</value>

+ </param>

+ <param>

+ <key>id</key>

+ <value>qtgui_number_sink_0</value>

+ </param>

+ <param>

+ <key>type</key>

+ <value>float</value>

+ </param>

+ <param>

+ <key>color1</key>

+ <value>("black", "black")</value>

+ </param>

+ <param>

+ <key>factor1</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>label1</key>

+ <value></value>

+ </param>

+ <param>

+ <key>unit1</key>

+ <value></value>

+ </param>

+ <param>

+ <key>color10</key>

+ <value>("black", "black")</value>

+ </param>

+ <param>

+ <key>factor10</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>label10</key>

+ <value></value>

+ </param>

+ <param>

+ <key>unit10</key>

+ <value></value>

+ </param>

+ <param>

+ <key>color2</key>

+ <value>("black", "black")</value>

+ </param>

+ <param>

+ <key>factor2</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>label2</key>

+ <value></value>

+ </param>

+ <param>

+ <key>unit2</key>

+ <value></value>

+ </param>

+ <param>

+ <key>color3</key>

+ <value>("black", "black")</value>

+ </param>

+ <param>

+ <key>factor3</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>label3</key>

+ <value></value>

+ </param>

+ <param>

+ <key>unit3</key>

+ <value></value>

+ </param>

+ <param>

+ <key>color4</key>

+ <value>("black", "black")</value>

+ </param>

+ <param>

+ <key>factor4</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>label4</key>

+ <value></value>

+ </param>

+ <param>

+ <key>unit4</key>

+ <value></value>

+ </param>

+ <param>

+ <key>color5</key>

+ <value>("black", "black")</value>

+ </param>

+ <param>

+ <key>factor5</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>label5</key>

+ <value></value>

+ </param>

+ <param>

+ <key>unit5</key>

+ <value></value>

+ </param>

+ <param>

+ <key>color6</key>

+ <value>("black", "black")</value>

+ </param>

+ <param>

+ <key>factor6</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>label6</key>

+ <value></value>

+ </param>

+ <param>

+ <key>unit6</key>

+ <value></value>

+ </param>

+ <param>

+ <key>color7</key>

+ <value>("black", "black")</value>

+ </param>

+ <param>

+ <key>factor7</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>label7</key>

+ <value></value>

+ </param>

+ <param>

+ <key>unit7</key>

+ <value></value>

+ </param>

+ <param>

+ <key>color8</key>

+ <value>("black", "black")</value>

+ </param>

+ <param>

+ <key>factor8</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>label8</key>

+ <value></value>

+ </param>

+ <param>

+ <key>unit8</key>

+ <value></value>

+ </param>

+ <param>

+ <key>color9</key>

+ <value>("black", "black")</value>

+ </param>

+ <param>

+ <key>factor9</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>label9</key>

+ <value></value>

+ </param>

+ <param>

+ <key>unit9</key>

+ <value></value>

+ </param>

+ <param>

+ <key>max</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>min</key>

+ <value>-1</value>

+ </param>

+ <param>

+ <key>name</key>

+ <value>""</value>

+ </param>

+ <param>

+ <key>nconnections</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>update_time</key>

+ <value>0.10</value>

+ </param>

+ </block>

+ <block>

+ <key>qtgui_time_sink_x</key>

+ <param>

+ <key>autoscale</key>

+ <value>True</value>

+ </param>

+ <param>

+ <key>alias</key>

+ <value></value>

+ </param>

+ <param>

+ <key>comment</key>

+ <value></value>

+ </param>

+ <param>

+ <key>ctrlpanel</key>

+ <value>False</value>

+ </param>

+ <param>

+ <key>affinity</key>

+ <value></value>

+ </param>

+ <param>

+ <key>entags</key>

+ <value>True</value>

+ </param>

+ <param>

+ <key>_enabled</key>

+ <value>True</value>

+ </param>

+ <param>

+ <key>_coordinate</key>

+ <value>(1112, 475)</value>

+ </param>

+ <param>

+ <key>gui_hint</key>

+ <value></value>

+ </param>

+ <param>

+ <key>_rotation</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>grid</key>

+ <value>False</value>

+ </param>

+ <param>

+ <key>id</key>

+ <value>qtgui_time_sink_x_0</value>

+ </param>

+ <param>

+ <key>legend</key>

+ <value>True</value>

+ </param>

+ <param>

+ <key>alpha1</key>

+ <value>1.0</value>

+ </param>

+ <param>

+ <key>color1</key>

+ <value>"blue"</value>

+ </param>

+ <param>

+ <key>label1</key>

+ <value></value>

+ </param>

+ <param>

+ <key>marker1</key>

+ <value>-1</value>

+ </param>

+ <param>

+ <key>style1</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>width1</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>alpha10</key>

+ <value>1.0</value>

+ </param>

+ <param>

+ <key>color10</key>

+ <value>"blue"</value>

+ </param>

+ <param>

+ <key>label10</key>

+ <value></value>

+ </param>

+ <param>

+ <key>marker10</key>

+ <value>-1</value>

+ </param>

+ <param>

+ <key>style10</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>width10</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>alpha2</key>

+ <value>1.0</value>

+ </param>

+ <param>

+ <key>color2</key>

+ <value>"red"</value>

+ </param>

+ <param>

+ <key>label2</key>

+ <value></value>

+ </param>

+ <param>

+ <key>marker2</key>

+ <value>-1</value>

+ </param>

+ <param>

+ <key>style2</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>width2</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>alpha3</key>

+ <value>1.0</value>

+ </param>

+ <param>

+ <key>color3</key>

+ <value>"green"</value>

+ </param>

+ <param>

+ <key>label3</key>

+ <value></value>

+ </param>

+ <param>

+ <key>marker3</key>

+ <value>-1</value>

+ </param>

+ <param>

+ <key>style3</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>width3</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>alpha4</key>

+ <value>1.0</value>

+ </param>

+ <param>

+ <key>color4</key>

+ <value>"black"</value>

+ </param>

+ <param>

+ <key>label4</key>

+ <value></value>

+ </param>

+ <param>

+ <key>marker4</key>

+ <value>-1</value>

+ </param>

+ <param>

+ <key>style4</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>width4</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>alpha5</key>

+ <value>1.0</value>

+ </param>

+ <param>

+ <key>color5</key>

+ <value>"cyan"</value>

+ </param>

+ <param>

+ <key>label5</key>

+ <value></value>

+ </param>

+ <param>

+ <key>marker5</key>

+ <value>-1</value>

+ </param>

+ <param>

+ <key>style5</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>width5</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>alpha6</key>

+ <value>1.0</value>

+ </param>

+ <param>

+ <key>color6</key>

+ <value>"magenta"</value>

+ </param>

+ <param>

+ <key>label6</key>

+ <value></value>

+ </param>

+ <param>

+ <key>marker6</key>

+ <value>-1</value>

+ </param>

+ <param>

+ <key>style6</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>width6</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>alpha7</key>

+ <value>1.0</value>

+ </param>

+ <param>

+ <key>color7</key>

+ <value>"yellow"</value>

+ </param>

+ <param>

+ <key>label7</key>

+ <value></value>

+ </param>

+ <param>

+ <key>marker7</key>

+ <value>-1</value>

+ </param>

+ <param>

+ <key>style7</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>width7</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>alpha8</key>

+ <value>1.0</value>

+ </param>

+ <param>

+ <key>color8</key>

+ <value>"dark red"</value>

+ </param>

+ <param>

+ <key>label8</key>

+ <value></value>

+ </param>

+ <param>

+ <key>marker8</key>

+ <value>-1</value>

+ </param>

+ <param>

+ <key>style8</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>width8</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>alpha9</key>

+ <value>1.0</value>

+ </param>

+ <param>

+ <key>color9</key>

+ <value>"dark green"</value>

+ </param>

+ <param>

+ <key>label9</key>

+ <value></value>

+ </param>

+ <param>

+ <key>marker9</key>

+ <value>-1</value>

+ </param>

+ <param>

+ <key>style9</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>width9</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>name</key>

+ <value>""</value>

+ </param>

+ <param>

+ <key>nconnections</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>size</key>

+ <value>2048</value>

+ </param>

+ <param>

+ <key>srate</key>

+ <value>samp_rate</value>

+ </param>

+ <param>

+ <key>tr_chan</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>tr_delay</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>tr_level</key>

+ <value>0.0</value>

+ </param>

+ <param>

+ <key>tr_mode</key>

+ <value>qtgui.TRIG_MODE_FREE</value>

+ </param>

+ <param>

+ <key>tr_slope</key>

+ <value>qtgui.TRIG_SLOPE_POS</value>

+ </param>

+ <param>

+ <key>tr_tag</key>

+ <value>""</value>

+ </param>

+ <param>

+ <key>type</key>

+ <value>float</value>

+ </param>

+ <param>

+ <key>update_time</key>

+ <value>0.10</value>

+ </param>

+ <param>

+ <key>ylabel</key>

+ <value>Amplitude</value>

+ </param>

+ <param>

+ <key>yunit</key>

+ <value>""</value>

+ </param>

+ <param>

+ <key>ymax</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>ymin</key>

+ <value>-1</value>

+ </param>

+ </block>

+ <connection>

+ <source_block_id>analog_random_source_x_0</source_block_id>

+ <sink_block_id>fec_ber_bf_0</sink_block_id>

+ <source_key>0</source_key>

+ <sink_key>0</sink_key>

+ </connection>

+ <connection>

+ <source_block_id>analog_random_source_x_0</source_block_id>

+ <sink_block_id>fec_extended_encoder_0</sink_block_id>

+ <source_key>0</source_key>

+ <sink_key>0</sink_key>

+ </connection>

+ <connection>

+ <source_block_id>blocks_add_const_vxx_0</source_block_id>

+ <sink_block_id>fec_extended_decoder_0</sink_block_id>

+ <source_key>0</source_key>

+ <sink_key>0</sink_key>

+ </connection>

+ <connection>

+ <source_block_id>blocks_char_to_float_0</source_block_id>

+ <sink_block_id>qtgui_time_sink_x_0</sink_block_id>

+ <source_key>0</source_key>

+ <sink_key>0</sink_key>

+ </connection>

+ <connection>

+ <source_block_id>blocks_char_to_float_0_0</source_block_id>

+ <sink_block_id>blocks_add_const_vxx_0</sink_block_id>

+ <source_key>0</source_key>

+ <sink_key>0</sink_key>

+ </connection>

+ <connection>

+ <source_block_id>fec_ber_bf_0</source_block_id>

+ <sink_block_id>qtgui_number_sink_0</sink_block_id>

+ <source_key>0</source_key>

+ <sink_key>0</sink_key>

+ </connection>

+ <connection>

+ <source_block_id>fec_extended_decoder_0</source_block_id>

+ <sink_block_id>blocks_char_to_float_0</sink_block_id>

+ <source_key>0</source_key>

+ <sink_key>0</sink_key>

+ </connection>

+ <connection>

+ <source_block_id>fec_extended_decoder_0</source_block_id>

+ <sink_block_id>fec_ber_bf_0</sink_block_id>

+ <source_key>0</source_key>

+ <sink_key>1</sink_key>

+ </connection>

+ <connection>

+ <source_block_id>fec_extended_encoder_0</source_block_id>

+ <sink_block_id>blocks_char_to_float_0_0</sink_block_id>

+ <source_key>0</source_key>

+ <sink_key>0</sink_key>

+ </connection>

+</flow_graph>

+<?xml version='1.0' encoding='utf-8'?>

+ <value>qt_gui</value>

+ <key>variable_polar_code_configurator</key>

+ <param>

+ <key>num_info_bits</key>

+ <value>128</value>

+ </param>

+ <param>

+ <key>block_size</key>

+ <value>256</value>

+ </param>

+ <param>

+ <key>channel</key>

+ <value>bsc</value>

+ </param>

+ <param>

+ <key>comment</key>

+ <value></value>

+ </param>

+ <param>

+ <key>_enabled</key>

+ <value>True</value>

+ </param>

+ <param>

+ <key>_coordinate</key>

+ <value>(600, 139)</value>

+ </param>

+ <param>

+ <key>_rotation</key>

+ <value>0</value>

+ </param>

+ <param>

+ <key>id</key>

+ <value>polar_config</value>

+ </param>

+ <param>

+ <key>design_snr</key>

+ <value>2.0</value>

+ </param>

+ <param>

+ <key>mu</key>

+ <value>16</value>

+ </param>

+ </block>

+ <block>

+ <key>dim1</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>dim2</key>

+ <value>4</value>

+ </param>

+ <param>

+ <param>

+ <key>ndim</key>

+ <value>0</value>

+ </param>

+ <key>dim1</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>dim2</key>

+ <value>4</value>

+ </param>

+ <param>

+ <param>

+ <key>ndim</key>

+ <value>0</value>

+ </param>

+ <key>dim1</key>

+ <value>1</value>

+ </param>

+ <param>

+ <key>dim2</key>

+ <value>4</value>

+ </param>

+ <param>

+ <value>polar_config['positions']</value>

+ <value>polar_config['values']</value>

+ <param>

+ <key>ndim</key>

+ <value>0</value>

+ </param>

+ <block>variable_polar_code_configurator</block>

+ <var_make>#if int($ndim())==0 #

+self.$(id) = $(id) = fec.polar_decoder_sc.make($block_size, $num_info_bits, $frozen_bit_positions, $frozen_bit_values, $is_packed) #slurp

+#else if int($ndim())==1 #

+self.$(id) = $(id) = map((lambda a: fec.polar_decoder_sc.make($block_size, $num_info_bits, $frozen_bit_positions, $frozen_bit_values, $is_packed)), range(0, $dim1) ) #slurp

+#else

+self.$(id) = $(id) = map((lambda b: map((lambda a: fec.polar_decoder_sc.make($block_size, $num_info_bits, $frozen_bit_positions, $frozen_bit_values, $is_packed)), range(0, $dim2))), range(0, $dim1)) #slurp

+#end if</var_make>

+ <name>Parallelism</name>

+ <key>ndim</key>

+ <value>0</value>

+ <type>enum</type>

+ <option>

+ <name>0</name>

+ <key>0</key>

+ </option>

+ <option>

+ <name>1</name>

+ <key>1</key>

+ </option>

+ <option>

+ <name>2</name>

+ <key>2</key>

+ </option>

+ </param>

+

+ <param>

+ <name>Dimension 1</name>

+ <key>dim1</key>

+ <value>1</value>

+ <type>int</type>

+ <hide>#if (int($ndim()) >= 1) then 'none' else 'all' #</hide>

+ </param>

+

+ <param>

+ <name>Dimension 2</name>

+ <key>dim2</key>

+ <value>4</value>

+ <type>int</type>

+ <hide>#if (int($ndim()) >= 2) then 'none' else 'all' #</hide>

+ </param>

+

+ <param>

+ <var_make>#if int($ndim())==0 #

+self.$(id) = $(id) = fec.polar_decoder_sc_list.make($max_list_size, $block_size, $num_info_bits, $frozen_bit_positions, $frozen_bit_values, $is_packed) #slurp

+#else if int($ndim())==1 #

+self.$(id) = $(id) = map((lambda a: fec.polar_decoder_sc_list.make($max_list_size, $block_size, $num_info_bits, $frozen_bit_positions, $frozen_bit_values, $is_packed)), range(0, $dim1)) #slurp

+#else

+self.$(id) = $(id) = map((lambda b: map((lambda a: fec.polar_decoder_sc_list.make($max_list_size, $block_size, $num_info_bits, $frozen_bit_positions, $frozen_bit_values, $is_packed)), range(0, $dim2))), range(0, $dim1)) #slurp

+#end if</var_make>

+ <name>Parallelism</name>

+ <key>ndim</key>

+ <value>0</value>

+ <type>enum</type>

+ <option>

+ <name>0</name>

+ <key>0</key>

+ </option>

+ <option>

+ <name>1</name>

+ <key>1</key>

+ </option>

+ <option>

+ <name>2</name>

+ <key>2</key>

+ </option>

+ </param>

+

+ <param>

+ <name>Dimension 1</name>

+ <key>dim1</key>

+ <value>1</value>

+ <type>int</type>

+ <hide>#if (int($ndim()) >= 1) then 'none' else 'all' #</hide>

+ </param>

+

+ <param>

+ <name>Dimension 2</name>

+ <key>dim2</key>

+ <value>4</value>

+ <type>int</type>

+ <hide>#if (int($ndim()) >= 2) then 'none' else 'all' #</hide>

+ </param>

+

+ <param>

+ <var_make>#if int($ndim())==0 #

+self.$(id) = $(id) = fec.polar_encoder.make($block_size, $num_info_bits, $frozen_bit_positions, $frozen_bit_values, $is_packed) #slurp

+#else if int($ndim())==1 #

+self.$(id) = $(id) = map((lambda a: fec.polar_encoder.make($block_size, $num_info_bits, $frozen_bit_positions, $frozen_bit_values, $is_packed)), range(0, $dim1)) #slurp

+#else

+self.$(id) = $(id) = map((lambda b: map((lambda a: fec.polar_encoder.make($block_size, $num_info_bits, $frozen_bit_positions, $frozen_bit_values, $is_packed)), range(0, $dim2))), range(0, $dim1)) #slurp

+#end if</var_make>

+ <name>Parallelism</name>

+ <key>ndim</key>

+ <value>0</value>

+ <type>enum</type>

+ <option>

+ <name>0</name>

+ <key>0</key>

+ </option>

+ <option>

+ <name>1</name>

+ <key>1</key>

+ </option>

+ <option>

+ <name>2</name>

+ <key>2</key>

+ </option>

+ </param>

+

+ <param>

+ <name>Dimension 1</name>

+ <key>dim1</key>

+ <value>1</value>

+ <type>int</type>

+ <hide>#if (int($ndim()) >= 1) then 'none' else 'all' #</hide>

+ </param>

+

+ <param>

+ <name>Dimension 2</name>

+ <key>dim2</key>

+ <value>4</value>

+ <type>int</type>

+ <hide>#if (int($ndim()) >= 2) then 'none' else 'all' #</hide>

+ </param>

+

+ <param>

+<?xml version="1.0"?>

+<block>

+ <name>POLAR code Configurator</name>

+ <key>variable_polar_code_configurator</key>

+ <import>from gnuradio.fec import polar</import>

+ <var_make>self.$(id) = $(id) = polar.load_frozen_bits_info(False, $channel.c, $block_size, $num_info_bits, $design_snr, $mu)</var_make>

+ <var_value>polar.load_frozen_bits_info(True, $channel.c, $block_size, $num_info_bits, $design_snr, $mu)</var_value>

+ <make></make>

+

+ <param>

+ <name>Channel</name>

+ <key>channel</key>

+ <type>enum</type>

+ <option>

+ <name>BEC</name>

+ <key>bec</key>

+ <opt>c:'BEC'</opt>

+ <opt>h:True</opt>

+ </option>

+ <option>

+ <name>BSC</name>

+ <key>bsc</key>

+ <opt>c:'BSC'</opt>

+ <opt>h:False</opt>

+ </option>

+ </param>

+

+ <param>

+ <name>Block size (N)</name>

+ <key>block_size</key>

+ <type>int</type>

+ </param>

+

+ <param>

+ <name>#Info Bits (K)</name>

+ <key>num_info_bits</key>

+ <type>int</type>

+ </param>

+

+ <param>

+ <name>design SNR</name>

+ <key>design_snr</key>

+ <value>0.0</value>

+ <type>float</type>

+ </param>

+

+ <param>

+ <name>mu</name>

+ <key>mu</key>

+ <value>16</value>

+ <type>int</type>

+ <hide>#if str($channel.h) == 'True' then 'all' else 'none'#</hide>

+ </param>

+</block> \ No newline at end of file

+ * It expects float input with bits mapped 1 --> 1, 0 --> -1

+ * Or: f = 2.0 * bit - 1.0

+ D_LLR_FACTOR(-2.19722458f),

+add_subdirectory(polar)

+

+# Copyright 2015 Free Software Foundation, Inc.

+#

+# This file is part of GNU Radio

+#

+# GNU Radio is free software; you can redistribute it and/or modify

+# it under the terms of the GNU General Public License as published by

+# the Free Software Foundation; either version 3, or (at your option)

+# any later version.

+#

+# GNU Radio is distributed in the hope that it will be useful,

+# but WITHOUT ANY WARRANTY; without even the implied warranty of

+# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the

+# GNU General Public License for more details.

+#

+# You should have received a copy of the GNU General Public License

+# along with GNU Radio; see the file COPYING. If not, write to

+# the Free Software Foundation, Inc., 51 Franklin Street,

+# Boston, MA 02110-1301, USA.

+

+########################################################################

+include(GrPython)

+

+GR_PYTHON_INSTALL(

+ FILES

+ __init__.py

+ channel_construction.py

+ channel_construction_bsc.py

+ channel_construction_bec.py

+ helper_functions.py

+ DESTINATION ${GR_PYTHON_DIR}/gnuradio/fec/polar

+ COMPONENT "fec_python"

+)

+

+GR_PYTHON_INSTALL(

+ PROGRAMS

+ polar_channel_construction

+ DESTINATION ${GR_RUNTIME_DIR}

+ COMPONENT "fec_python"

+)

+

+

+

+import channel_construction as cc

+from channel_construction_bec import bhattacharyya_bounds

+from helper_functions import is_power_of_two

+

+

+def get_z_params(is_prototype, channel, block_size, design_snr, mu):

+ print('POLAR code channel construction called with parameters channel={0}, blocksize={1}, design SNR={2}, mu={3}'.format(channel, block_size, design_snr, mu))

+ if not (channel == 'BSC' or channel == 'BEC'):

+ raise ValueError("channel is {0}, but only BEC and BSC are supported!".format(channel))

+ if not is_power_of_two(block_size):

+ raise ValueError("block size={0} is not a power of 2!".format(block_size))

+ if design_snr < -1.5917:

+ raise ValueError("design SNR={0} < -1.5917. MUST be greater!".format(design_snr))

+ if not mu > 0:

+ raise ValueError("mu={0} < 1. MUST be > 1!".format(mu))

+ if not is_prototype and channel == 'BSC':

+ z_params = cc.load_z_parameters(block_size, design_snr, mu)

+ print('Read Z-parameter file: {0}'.format(cc.default_dir() + cc.generate_filename(block_size, design_snr, mu)))

+ return z_params

+ return bhattacharyya_bounds(design_snr, block_size)

+

+

+def load_frozen_bits_info(is_prototype, channel, block_size, num_info_bits, design_snr, mu):

+ num_frozen_bits = block_size - num_info_bits

+ if not mu > 0:

+ mu = 2

+ z_params = get_z_params(is_prototype, channel, block_size, design_snr, mu)

+ data_set = {

+ 'positions': cc.get_frozen_bit_indices_from_z_parameters(z_params, num_frozen_bits),

+ 'values': [0, ] * num_frozen_bits,

+ 'block_size': block_size,

+ 'num_info_bits': num_info_bits,

+ 'num_frozenbits': num_frozen_bits,

+ 'design_snr': design_snr,

+ 'channel': channel,

+ 'mu': mu,

+ }

+ return data_set

+#!/usr/bin/env python

+#

+# Copyright 2015 Free Software Foundation, Inc.

+#

+# GNU Radio is free software; you can redistribute it and/or modify

+# it under the terms of the GNU General Public License as published by

+# the Free Software Foundation; either version 3, or (at your option)

+# any later version.

+#

+# GNU Radio is distributed in the hope that it will be useful,

+# but WITHOUT ANY WARRANTY; without even the implied warranty of

+# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the

+# GNU General Public License for more details.

+#

+# You should have received a copy of the GNU General Public License

+# along with GNU Radio; see the file COPYING. If not, write to

+# the Free Software Foundation, Inc., 51 Franklin Street,

+# Boston, MA 02110-1301, USA.

+#

+

+'''

+[0] Erdal Arikan: 'Channel Polarization: A Method for Constructing Capacity-Achieving Codes for Symmetric Binary-Input Memoryless Channels', 2009

+foundational paper for polar codes.

+'''

+

+

+import numpy as np

+from channel_construction_bec import calculate_bec_channel_capacities

+from channel_construction_bec import design_snr_to_bec_eta

+from channel_construction_bsc import tal_vardy_tpm_algorithm

+import matplotlib.pyplot as plt

+

+

+Z_PARAM_FIRST_HEADER_LINE = "Bhattacharyya parameters (Z-parameters) for a polar code"

+

+

+def get_frozen_bit_indices_from_capacities(chan_caps, nfrozen):

+ indexes = np.array([], dtype=int)

+ while indexes.size < nfrozen:

+ index = np.argmin(chan_caps)

+ indexes = np.append(indexes, index)

+ chan_caps[index] = 1.0

+ return np.sort(indexes)

+

+

+def get_frozen_bit_indices_from_z_parameters(z_params, nfrozen):

+ indexes = np.array([], dtype=int)

+ while indexes.size < nfrozen:

+ index = np.argmax(z_params)

+ indexes = np.append(indexes, index)

+ z_params[index] = 0.0

+ return np.sort(indexes)

+

+

+def get_bec_frozen_indices(nblock, kfrozen, eta):

+ bec_caps = calculate_bec_channel_capacities(eta, nblock)

+ positions = get_frozen_bit_indices_from_capacities(bec_caps, kfrozen)

+ return positions

+

+

+def frozen_bit_positions(block_size, info_size, design_snr=0.0):

+ if not design_snr > -1.5917:

+ print('bad value for design_nsr, must be > -1.5917! default=0.0')

+ design_snr = 0.0

+ eta = design_snr_to_bec_eta(design_snr)

+ return get_bec_frozen_indices(block_size, block_size - info_size, eta)

+

+

+def generate_filename(block_size, design_snr, mu):

+ filename = "polar_code_z_parameters_N" + str(int(block_size))

+ filename += "_SNR" + str(float(design_snr)) + "_MU" + str(int(mu)) + ".polar"

+ return filename

+

+

+def default_dir():

+ dir_def = "~/.gnuradio/polar/"

+ import os

+ path = os.path.expanduser(dir_def)

+

+ try:

+ os.makedirs(path)

+ except OSError:

+ if not os.path.isdir(path):

+ raise

+ return path

+

+

+def save_z_parameters(z_params, block_size, design_snr, mu):

+ path = default_dir()

+ filename = generate_filename(block_size, design_snr, mu)

+ header = Z_PARAM_FIRST_HEADER_LINE + "\n"

+ header += "Channel construction method: Tal-Vardy algorithm\n"

+ header += "Parameters:\n"

+ header += "block_size=" + str(block_size) + "\n"

+ header += "design_snr=" + str(design_snr) + "\n"

+ header += "mu=" + str(mu)

+ np.savetxt(path + filename, z_params, header=header)

+

+

+def load_z_parameters(block_size, design_snr, mu):

+ path = default_dir()

+ filename = generate_filename(block_size, design_snr, mu)

+ full_file = path + filename

+ import os

+ if not os.path.isfile(full_file):

+ z_params = tal_vardy_tpm_algorithm(block_size, design_snr, mu)

+ save_z_parameters(z_params, block_size, design_snr, mu)

+ z_params = np.loadtxt(full_file)

+ return z_params

+

+

+def main():

+ print 'channel construction Bhattacharyya bounds by Arikan'

+ n = 8

+ m = 2 ** n

+ k = m // 2

+ design_snr = -1.59

+ mu = 32

+

+ # ztv = tal_vardy_tpm_algorithm(m, design_snr, mu)

+

+ z_params = load_z_parameters(m, design_snr, mu)

+ plt.plot(z_params)

+ plt.show()

+

+

+

+if __name__ == '__main__':

+ main()

+

+

+import helper_functions as hf

+def calculate_bec_channel_capacities(eta, block_size):

+ # compare [0, Arikan] eq. 6

+ lw = int(np.log2(block_size))

+def calculate_z_parameters_one_recursion(z_params):

+ z_next = np.zeros(2 * z_params.size)

+ for i in range(z_params.size):

+ z_sq = z_params[i] ** 2

+ z_next[2 * i] = 2 * z_params[i] - z_sq

+ z_next[2 * i + 1] = z_sq

+ return z_next

+def calculate_bec_channel_z_parameters(eta, block_size):

+ # compare [0, Arikan] eq. 38

+ block_power = hf.power_of_2_int(block_size)

+ z_params = np.array([eta,], dtype=float)

+ for block_size in range(block_power):

+ z_params = calculate_z_parameters_one_recursion(z_params)

+ return z_params

+def design_snr_to_bec_eta(design_snr):

+ s = 10. ** (design_snr / 10.)

+ return np.exp(-s)

+def bhattacharyya_bounds(design_snr, block_size):

+ '''

+ Harish Vangala, Emanuele Viterbo, Yi Hong: 'A Comparative Study of Polar Code Constructions for the AWGN Channel', 2015

+ In this paper it is called Bhattacharyya bounds channel construction and is abbreviated PCC-0

+ Best design SNR for block_size = 2048, R = 0.5, is 0dB.

+ Compare with Arikan: 'Channel Polarization: A Method for Constructing Capacity-Achieving Codes for Symmetric Binary-Input Memoryless Channels.

+ Proposition 5. inequalities turn into equalities for BEC channel. Otherwise they represent an upper bound.

+ Also compare [0, Arikan] eq. 6 and 38

+ For BEC that translates to capacity(i) = 1 - bhattacharyya(i)

+ :return Z-parameters in natural bit-order. Choose according to desired rate.

+ '''

+ # minimum design snr = -1.5917 corresponds to BER = 0.5

+ s = 10 ** (design_snr / 10) # 'initial z parameter'.

+ eta = np.exp(-s)

+ return calculate_bec_channel_z_parameters(eta, block_size)

+ n = 4

+ block_size = 2 ** n

+ design_snr = 1.0

+ eta = design_snr_to_bec_eta(design_snr)

+ print(calculate_bec_channel_z_parameters(eta, block_size))

+ print(calculate_bec_channel_capacities(eta, block_size))

+'''

+Based on 2 papers:

+[1] Ido Tal, Alexander Vardy: 'How To Construct Polar Codes', 2013

+for an in-depth description of a widely used algorithm for channel construction.

+

+[2] Harish Vangala, Emanuele Viterbo, Yi Hong: 'A Comparative Study of Polar Code Constructions for the AWGN Channel', 2015

+for an overview of different approaches

+'''

+

+

+from scipy.optimize import fsolve

+from scipy.special import erfc

+from channel_construction_bec import bhattacharyya_bounds

+

+

+def bsc_channel(p):

+ '''

+ binary symmetric channel (BSC)

+ output alphabet Y = {0, 1} and

+ W(0|0) = W(1|1) and W(1|0) = W(0|1)

+

+ this function returns a prob's vector for a BSC

+ p denotes an erroneous transistion

+ '''

+ if not (p >= 0.0 and p <= 1.0):

+ print "given p is out of range!"

+ return np.array([], dtype=float)

+

+ # 0 -> 0, 0 -> 1, 1 -> 0, 1 -> 1

+ W = np.array([[1 - p, p], [p, 1 - p]], dtype=float)

+ return W

+def solver_equation(val, s):

+ cw_lambda = codeword_lambda_callable(s)

+ ic_lambda = instantanious_capacity_callable()

+ return lambda y: ic_lambda(cw_lambda(y)) - val

+

+

+def solve_capacity(a, s):

+ eq = solver_equation(a, s)

+ res = fsolve(eq, 1)

+ return np.abs(res[0]) # only positive values needed.

+

+

+def codeword_lambda_callable(s):

+ return lambda y: np.exp(-2 * y * np.sqrt(2 * s))

+

+

+def codeword_lambda(y, s):

+ return codeword_lambda_callable(s)(y)

+

+

+def instantanious_capacity_callable():

+ return lambda x : 1 - np.log2(1 + x) + (x * np.log2(x) / (1 + x))

+

+

+def instantanious_capacity(x):

+ return instantanious_capacity_callable()(x)

+

+

+def q_function(x):

+ # Q(x) = (1 / sqrt(2 * pi) ) * integral (x to inf) exp(- x ^ 2 / 2) dx

+ return .5 * erfc(x / np.sqrt(2))

+

+

+def discretize_awgn(mu, design_snr):

+ '''

+ needed for Binary-AWGN channels.

+ in [1] described in Section VI

+ in [2] described as a function of the same name.

+ in both cases reduce infinite output alphabet to a finite output alphabet of a given channel.

+ idea:

+ 1. instantaneous capacity C(x) in interval [0, 1]

+ 2. split into mu intervals.

+ 3. find corresponding output alphabet values y of likelihood ratio function lambda(y) inserted into C(x)

+ 4. Calculate probability for each value given that a '0' or '1' is was transmitted.

+ '''

+ s = 10 ** (design_snr / 10)

+ a = np.zeros(mu + 1, dtype=float)

+ a[-1] = np.inf

+ for i in range(1, mu):

+ a[i] = solve_capacity(1. * i / mu, s)

+

+ factor = np.sqrt(2 * s)

+ tpm = np.zeros((2, mu))

+ for j in range(mu):

+ tpm[0][j] = q_function(factor + a[j]) - q_function(factor + a[j + 1])

+ tpm[1][j] = q_function(-1. * factor + a[j]) - q_function(-1. * factor + a[j + 1])

+ return tpm

+

+

+def instant_capacity_delta_callable():

+ return lambda a, b: -1. * (a + b) * np.log2((a + b) / 2) + a * np.log2(a) + b * np.log2(b)

+

+

+def capacity_delta_callable():

+ c = instant_capacity_delta_callable()

+ return lambda a, b, at, bt: c(a, b) + c(at, bt) - c(a + at, b + bt)

+

+

+def quantize_to_size(tpm, mu):

+ # This is a degrading merge, compare [1]

+ calculate_delta_I = capacity_delta_callable()

+ L = np.shape(tpm)[1]

+ if not mu < L:

+ print('WARNING: This channel gets too small!')

+

+ # lambda works on vectors just fine. Use Numpy vector awesomeness.

+ delta_i_vec = calculate_delta_I(tpm[0, 0:-1], tpm[1, 0:-1], tpm[0, 1:], tpm[1, 1:])

+

+ for i in range(L - mu):

+ d = np.argmin(delta_i_vec)

+ ap = tpm[0, d] + tpm[0, d + 1]

+ bp = tpm[1, d] + tpm[1, d + 1]

+ if d > 0:

+ delta_i_vec[d - 1] = calculate_delta_I(tpm[0, d - 1], tpm[1, d - 1], ap, bp)

+ if d < delta_i_vec.size - 1:

+ delta_i_vec[d + 1] = calculate_delta_I(ap, bp, tpm[0, d + 1], tpm[1, d + 1])

+ delta_i_vec = np.delete(delta_i_vec, d)

+ tpm = np.delete(tpm, d, axis=1)

+ tpm[0, d] = ap

+ tpm[1, d] = bp

+ return tpm

+

+

+def upper_bound_z_params(z, block_size, design_snr):

+ upper_bound = bhattacharyya_bounds(design_snr, block_size)

+ z = np.minimum(z, upper_bound)

+def tal_vardy_tpm_algorithm(block_size, design_snr, mu):

+ block_power = power_of_2_int(block_size)

+ channels = np.zeros((block_size, 2, mu))

+ channels[0] = discretize_awgn(mu, design_snr) * 2

+

+ print('Constructing polar code with Tal-Vardy algorithm')

+ print('(block_size = {0}, design SNR = {1}, mu = {2}'.format(block_size, design_snr, mu))

+ show_progress_bar(0, block_size)

+ for j in range(0, block_power):

+ u = 2 ** j

+ for t in range(u):

+ show_progress_bar(u + t, block_size)

+ # print("(u={0}, t={1}) = {2}".format(u, t, u + t))

+ ch1 = upper_convolve(channels[t], mu)

+ ch2 = lower_convolve(channels[t], mu)

+ channels[t] = quantize_to_size(ch1, mu)

+ channels[u + t] = quantize_to_size(ch2, mu)

+

+ z = np.zeros(block_size)

+ for i in range(block_size):

+ # z[i] = np.sum(channels[i][1])

+ z[i] = bhattacharyya_parameter(channels[i])

+

+ z = z[bit_reverse_vector(np.arange(block_size), block_power)]

+ z = upper_bound_z_params(z, block_size, design_snr)

+ show_progress_bar(block_size, block_size)

+ print('')

+ print('channel construction DONE')

+ return z

+

+

+def merge_lr_based(q, mu):

+ lrs = q[0] / q[1]

+ vals, indices, inv_indices = np.unique(lrs, return_index=True, return_inverse=True)

+ # compare [1] (20). Ordering of representatives according to LRs.

+ temp = np.zeros((2, len(indices)), dtype=float)

+ if vals.size < mu:

+ return q

+ for i in range(len(indices)):

+ merge_pos = np.where(inv_indices == i)[0]

+ sum_items = q[:, merge_pos]

+ if merge_pos.size > 1:

+ sum_items = np.sum(q[:, merge_pos], axis=1)

+ temp[0, i] = sum_items[0]

+ temp[1, i] = sum_items[1]

+ return temp

+

+

+def upper_convolve(tpm, mu):

+ q = np.zeros((2, mu ** 2))

+ idx = -1

+ for i in range(mu):

+ idx += 1

+ q[0, idx] = (tpm[0, i] ** 2 + tpm[1, i] ** 2) / 2

+ q[1, idx] = tpm[0, i] * tpm[1, i]

+ for j in range(i + 1, mu):

+ idx += 1

+ q[0, idx] = tpm[0, i] * tpm[0, j] + tpm[1, i] * tpm[1, j]

+ q[1, idx] = tpm[0, i] * tpm[1, j] + tpm[1, i] * tpm[0, j]

+ if q[0, idx] < q[1, idx]:

+ q[0, idx], q[1, idx] = swap_values(q[0, idx], q[1, idx])

+

+ idx += 1

+ q = np.delete(q, np.arange(idx, np.shape(q)[1]), axis=1)

+ q = merge_lr_based(q, mu)

+ q = normalize_q(q, tpm)

+ return q

+

+

+def lower_convolve(tpm, mu):

+ q = np.zeros((2, mu * (mu + 1)))

+ idx = -1

+ for i in range(0, mu):

+ idx += 1

+ q[0, idx] = (tpm[0, i] ** 2) / 2

+ q[1, idx] = (tpm[1, i] ** 2) / 2

+ if q[0, idx] < q[1, idx]:

+ q[0, idx], q[1, idx] = swap_values(q[0, idx], q[1, idx])

+ idx += 1

+ q[0, idx] = tpm[0, i] * tpm[1, i]

+ q[1, idx] = q[0, idx]

+

+ for j in range(i + 1, mu):

+ idx += 1

+ q[0, idx] = tpm[0, i] * tpm[0, j]

+ q[1, idx] = tpm[1, i] * tpm[1, j]

+ if q[0, idx] < q[1, idx]:

+ q[0, idx], q[1, idx] = swap_values(q[0, idx], q[1, idx])

+ idx += 1

+ q[0, idx] = tpm[0, i] * tpm[1, j]

+ q[1, idx] = tpm[1, i] * tpm[0, j]

+ if q[0, idx] < q[1, idx]:

+ q[0, idx], q[1, idx] = swap_values(q[0, idx], q[1, idx])

+ idx += 1

+ q = np.delete(q, np.arange(idx, np.shape(q)[1]), axis=1)

+ q = merge_lr_based(q, mu)

+ q = normalize_q(q, tpm)

+ return q

+

+

+def swap_values(first, second):

+ return second, first

+

+

+def normalize_q(q, tpm):

+ original_factor = np.sum(tpm)

+ next_factor = np.sum(q)

+ factor = original_factor / next_factor

+ return q * factor

+ n = 8

+ design_snr = 0.5

+ mu = 32

+

+

+ z_params = tal_vardy_tpm_algorithm(m, design_snr, mu)

+ plt.plot(z_params)

+ plt.show()

+

+ # q = discretize_awgn(mu, design_snr)

+ # print('discretized:', np.sum(q))

+ # qu = upper_convolve(q, mu)

+ # print('upper_convolve:', np.sum(qu))

+ # q0 = lower_convolve(q, mu)

+ # print('lower_convolve:', np.sum(q0))

+import time, sys

+

+

+def power_of_2_int(num):

+ return int(np.log2(num))

+def show_progress_bar(ndone, ntotal):

+ nchars = 50

+

+ fract = (1. * ndone / ntotal)

+ percentage = 100. * fract

+ ndone_chars = int(nchars * fract)

+ nundone_chars = nchars - ndone_chars

+ sys.stdout.write('\r[{0}{1}] {2:5.2f}% ({3} / {4})'.format('=' * ndone_chars, ' ' * nundone_chars, percentage, ndone, ntotal))

+

+

+

+def mutual_information(w):

+ '''

+ calculate mutual information I(W)

+ I(W) = sum over y e Y ( sum over x e X ( ... ) )

+ .5 W(y|x) log frac { W(y|x) }{ .5 W(y|0) + .5 W(y|1) }

+ '''

+ ydim, xdim = np.shape(w)

+ i = 0.0

+ for y in range(ydim):

+ for x in range(xdim):

+ v = w[y][x] * np.log2(w[y][x] / (0.5 * w[y][0] + 0.5 * w[y][1]))

+ i += v

+ i /= 2.0

+ return i

+

+

+def bhattacharyya_parameter(w):

+ '''bhattacharyya parameter is a measure of similarity between two prob. distributions'''

+ # sum over all y e Y for sqrt( W(y|0) * W(y|1) )

+ dim = np.shape(w)

+ ydim = dim[0]

+ z = 0.0

+ for y in range(ydim):

+ z += np.sqrt(w[0, y] * w[1, y])

+ # need all

+ return z

+ ntotal = 99

+ for i in range(ntotal):

+ show_progress_bar(i, ntotal)

+ time.sleep(0.1)

+

+ # sys.stdout.write('Hello')

+ # time.sleep(1)

+ # sys.stdout.write('\rMomy ')

+

+#!/usr/bin/env python

+#

+# Copyright 2015 Free Software Foundation, Inc.

+#

+# This file is part of GNU Radio

+#

+# GNU Radio is free software; you can redistribute it and/or modify

+# it under the terms of the GNU General Public License as published by

+# the Free Software Foundation; either version 3, or (at your option)

+# any later version.

+#

+# GNU Radio is distributed in the hope that it will be useful,

+# but WITHOUT ANY WARRANTY; without even the implied warranty of

+# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the

+# GNU General Public License for more details.

+#

+# You should have received a copy of the GNU General Public License

+# along with GNU Radio; see the file COPYING. If not, write to

+# the Free Software Foundation, Inc., 51 Franklin Street,

+# Boston, MA 02110-1301, USA.

+#

+""" A tool for POLAR code channel construction."""

+

+from optparse import OptionParser

+import gnuradio.fec.polar as cc

+

+

+def setup_parser():

+ """ Init the option parser. If derived classes need to add options,

+ override this and call the parent function. """

+ parser = OptionParser(add_help_option=False)

+ parser.usage = '%prog [blocksize] [designsnr] [mu]'

+

+ parser.add_option("-h", "--help", action="help", help="Displays this help message.")

+

+ parser.add_option("-c", "--channel", action="store", type="string", dest="channel", help="specify channel, currently BEC or BSC (default='BEC')", default='BEC')

+ parser.add_option("-b", "--blocksize", action="store", type="int", dest="block_size", help="specify block size of polar code (default=16)", default=16)

+ parser.add_option("-s", "--desgin-snr", action="store", type="float", dest="design_snr", help="specify design SNR of polar code (default=0.0)", default=0.0)

+ parser.add_option("-k", "--mu", action="store", type="int", dest="mu", help="specify block size of polar code (default=2)", default=2)

+

+ return parser

+

+

+def main():

+ """ Here we go. Parse command, choose class and run. """

+ print('POLAR code channel constructor commandline tool')

+ parser = setup_parser()

+ (options, args) = parser.parse_args()

+

+ channel = str(options.channel)

+ block_size = int(options.block_size)

+ design_snr = float(options.design_snr)

+ mu = int(options.mu)

+

+ if len(args) > 0:

+ channel = str(args[0])

+ if len(args) > 1:

+ block_size = int(args[1])

+ if len(args) > 2:

+ design_snr = float(args[2])

+ if len(args) == 4:

+ mu = int(args[3])

+

+ z_params = cc.get_z_params(False, channel, block_size, design_snr, mu)

+ print(z_params)

+

+

+if __name__ == '__main__':

+ try:

+ main()

+ except KeyboardInterrupt:

+ pass \ No newline at end of file

+import polar.channel_construction as cc

+ frozen_bit_positions = cc.frozen_bit_positions(block_size, num_info_bits, 0.0)

+ gr_data = 2.0 * data - 1.0

+ frozen_bit_positions = cc.frozen_bit_positions(block_size, num_info_bits, 0.0)

+ gr_data = 2.0 * data - 1.0

+import polar.channel_construction as cc

+

+

+

+ frozen_bit_positions = cc.frozen_bit_positions(block_size, num_info_bits, 0.0)

+ gr_data = 2.0 * data - 1.0

+ frozen_bit_positions = cc.frozen_bit_positions(block_size, num_info_bits, 0.0)

+ gr_data = 2.0 * data - 1.0

+import polar.channel_construction as cc

+ frozen_bit_positions = cc.frozen_bit_positions(block_size, num_info_bits, 0.0)

+ frozen_bit_positions = cc.frozen_bit_positions(block_size, num_info_bits, 0.0)

+ frozen_bit_positions = cc.frozen_bit_positions(block_size, num_info_bits, 0.0)