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-rw-r--r--gnuradio-core/src/python/gnuradio/blks2impl/qam.py289
1 files changed, 201 insertions, 88 deletions
diff --git a/gnuradio-core/src/python/gnuradio/blks2impl/qam.py b/gnuradio-core/src/python/gnuradio/blks2impl/qam.py
index 22b1e1dabb..9c135b25a9 100644
--- a/gnuradio-core/src/python/gnuradio/blks2impl/qam.py
+++ b/gnuradio-core/src/python/gnuradio/blks2impl/qam.py
@@ -1,5 +1,5 @@
#
-# Copyright 2005,2006 Free Software Foundation, Inc.
+# Copyright 2005,2006,2011 Free Software Foundation, Inc.
#
# This file is part of GNU Radio
#
@@ -19,95 +19,208 @@
# Boston, MA 02110-1301, USA.
#
-from math import pi, sqrt
-import math
+"""
+QAM modulation and demodulation.
+"""
-# These constellations are generated for Gray coding when symbos [1, ..., m] are used
-# Mapping to Gray coding is therefore unnecessary
+from math import pi, sqrt, log
-def make_constellation(m):
- # number of bits/symbol (log2(M))
- k = int(math.log10(m) / math.log10(2.0))
+from gnuradio import gr, modulation_utils2
+from gnuradio.blks2impl.generic_mod_demod import generic_mod, generic_demod
+from gnuradio.utils.gray_code import gray_code
+from gnuradio.utils import mod_codes
- coeff = 1
+# Default number of points in constellation.
+_def_constellation_points = 16
+# Whether the quadrant bits are coded differentially.
+_def_differential = True
+# Whether gray coding is used. If differential is True then gray
+# coding is used within but not between each quadrant.
+_def_mod_code = mod_codes.NO_CODE
+
+def is_power_of_four(x):
+ v = log(x)/log(4)
+ return int(v) == v
+
+def get_bit(x, n):
+ """ Get the n'th bit of integer x (from little end)."""
+ return (x&(0x01 << n)) >> n
+
+def get_bits(x, n, k):
+ """ Get the k bits of integer x starting at bit n(from little end)."""
+ # Remove the n smallest bits
+ v = x >> n
+ # Remove all bits bigger than n+k-1
+ return v % pow(2, k)
+
+def make_differential_constellation(m, gray_coded):
+ """
+ Create a constellation with m possible symbols where m must be
+ a power of 4.
+
+ Points are laid out in a square grid.
+
+ Bits referring to the quadrant are differentilly encoded,
+ remaining bits are gray coded.
+
+ """
+ sqrtm = pow(m, 0.5)
+ if (not isinstance(m, int) or m < 4 or not is_power_of_four(m)):
+ raise ValueError("m must be a power of 4 integer.")
+ # Each symbol holds k bits.
+ k = int(log(m) / log(2.0))
+ # First create a constellation for one quadrant containing m/4 points.
+ # The quadrant has 'side' points along each side of a quadrant.
+ side = int(sqrtm/2)
+ if gray_coded:
+ # Number rows and columns using gray codes.
+ gcs = gray_code(side)
+ # Get inverse gray codes.
+ i_gcs = dict([(v, key) for key, v in enumerate(gcs)])
+ else:
+ i_gcs = dict([(i, i) for i in range(0, side)])
+ # The distance between points is found.
+ step = 1/(side-0.5)
+
+ gc_to_x = [(i_gcs[gc]+0.5)*step for gc in range(0, side)]
+
+ # Takes the (x, y) location of the point with the quadrant along
+ # with the quadrant number. (x, y) are integers referring to which
+ # point within the quadrant it is.
+ # A complex number representing this location of this point is returned.
+ def get_c(gc_x, gc_y, quad):
+ if quad == 0:
+ return complex(gc_to_x[gc_x], gc_to_x[gc_y])
+ if quad == 1:
+ return complex(-gc_to_x[gc_y], gc_to_x[gc_x])
+ if quad == 2:
+ return complex(-gc_to_x[gc_x], -gc_to_x[gc_y])
+ if quad == 3:
+ return complex(gc_to_x[gc_y], -gc_to_x[gc_x])
+ raise StandardError("Impossible!")
+
+ # First two bits determine quadrant.
+ # Next (k-2)/2 bits determine x position.
+ # Following (k-2)/2 bits determine y position.
+ # How x and y relate to real and imag depends on quadrant (see get_c function).
+ const_map = []
+ for i in range(m):
+ y = get_bits(i, 0, (k-2)/2)
+ x = get_bits(i, (k-2)/2, (k-2)/2)
+ quad = get_bits(i, k-2, 2)
+ const_map.append(get_c(x, y, quad))
+
+ return const_map
+
+def make_not_differential_constellation(m, gray_coded):
+ side = int(pow(m, 0.5))
+ if (not isinstance(m, int) or m < 4 or not is_power_of_four(m)):
+ raise ValueError("m must be a power of 4 integer.")
+ # Each symbol holds k bits.
+ k = int(log(m) / log(2.0))
+ if gray_coded:
+ # Number rows and columns using gray codes.
+ gcs = gray_code(side)
+ # Get inverse gray codes.
+ i_gcs = mod_codes.invert_code(gcs)
+ else:
+ i_gcs = range(0, side)
+ # The distance between points is found.
+ step = 2.0/(side-1)
+
+ gc_to_x = [-1 + i_gcs[gc]*step for gc in range(0, side)]
+ # First k/2 bits determine x position.
+ # Following k/2 bits determine y position.
const_map = []
for i in range(m):
- a = (i&(0x01 << k-1)) >> k-1
- b = (i&(0x01 << k-2)) >> k-2
- bits_i = [((i&(0x01 << k-j-1)) >> k-j-1) for j in range(2, k, 2)]
- bits_q = [((i&(0x01 << k-j-1)) >> k-j-1) for j in range(3, k, 2)]
-
- ss = 0
- ll = len(bits_i)
- for ii in range(ll):
- rr = 0
- for jj in range(ll-ii):
- rr = abs(bits_i[jj] - rr)
- ss += rr*pow(2.0, ii+1)
- re = (2*a-1)*(ss+1)
-
- ss = 0
- ll = len(bits_q)
- for ii in range(ll):
- rr = 0
- for jj in range(ll-ii):
- rr = abs(bits_q[jj] - rr)
- ss += rr*pow(2.0, ii+1)
- im = (2*b-1)*(ss+1)
-
- a = max(re, im)
- if a > coeff:
- coeff = a
- const_map.append(complex(re, im))
-
- norm_map = [complex(i.real/coeff, i.imag/coeff) for i in const_map]
- return norm_map
-
-# Common definition of constellations for Tx and Rx
-constellation = {
- 4 : make_constellation(4), # QAM4 (QPSK)
- 8 : make_constellation(8), # QAM8
- 16: make_constellation(16), # QAM16
- 64: make_constellation(64), # QAM64
- 256: make_constellation(256) # QAM256
- }
-
-# -----------------------
-# Do Gray code
-# -----------------------
-# binary to gray coding
-binary_to_gray = {
- 4 : range(4),
- 8 : range(8),
- 16: range(16),
- 64: range(64),
- 256: range(256)
- }
-
-# gray to binary
-gray_to_binary = {
- 4 : range(4),
- 8 : range(8),
- 16: range(16),
- 64: range(64),
- 256: range(256)
- }
-
-# -----------------------
-# Don't Gray code
-# -----------------------
-# identity mapping
-binary_to_ungray = {
- 4 : range(4),
- 8 : range(8),
- 16: range(16),
- 64: range(64)
- }
-
-# identity mapping
-ungray_to_binary = {
- 4 : range(4),
- 8 : range(8),
- 16: range(16),
- 64: range(64)
- }
+ y = gc_to_x[get_bits(i, 0, k/2)]
+ x = gc_to_x[get_bits(i, k/2, k/2)]
+ const_map.append(complex(x,y))
+ return const_map
+
+# /////////////////////////////////////////////////////////////////////////////
+# QAM constellation
+# /////////////////////////////////////////////////////////////////////////////
+
+def qam_constellation(constellation_points=_def_constellation_points,
+ differential=_def_differential,
+ mod_code=_def_mod_code):
+ """
+ Creates a QAM constellation object.
+ """
+ if mod_code == mod_codes.GRAY_CODE:
+ gray_coded = True
+ elif mod_code == mod_codes.NO_CODE:
+ gray_coded = False
+ else:
+ raise ValueError("Mod code is not implemented for QAM")
+ if differential:
+ points = make_differential_constellation(constellation_points, gray_coded)
+ else:
+ points = make_not_differential_constellation(constellation_points, gray_coded)
+ side = int(sqrt(constellation_points))
+ width = 2.0/(side-1)
+ # No pre-diff code
+ # Should add one so that we can gray-code the quadrant bits too.
+ pre_diff_code = []
+ constellation = gr.constellation_rect(points, pre_diff_code, 4, side, side, width, width)
+ return constellation
+
+# /////////////////////////////////////////////////////////////////////////////
+# QAM modulator
+# /////////////////////////////////////////////////////////////////////////////
+
+class qam_mod(generic_mod):
+
+ def __init__(self, constellation_points=_def_constellation_points,
+ differential=_def_differential,
+ mod_code=_def_mod_code,
+ *args, **kwargs):
+
+ """
+ Hierarchical block for RRC-filtered QAM modulation.
+
+ The input is a byte stream (unsigned char) and the
+ output is the complex modulated signal at baseband.
+
+ See generic_mod block for list of parameters.
+ """
+
+ constellation = qam_constellation(constellation_points, differential, mod_code)
+ # We take care of the gray coding in the constellation generation so it doesn't
+ # need to be done in the block.
+ super(qam_mod, self).__init__(constellation, differential=differential,
+ *args, **kwargs)
+
+# /////////////////////////////////////////////////////////////////////////////
+# QAM demodulator
+#
+# /////////////////////////////////////////////////////////////////////////////
+
+class qam_demod(generic_demod):
+
+ def __init__(self, constellation_points=_def_constellation_points,
+ differential=_def_differential,
+ mod_code=_def_mod_code,
+ *args, **kwargs):
+
+ """
+ Hierarchical block for RRC-filtered QAM modulation.
+
+ The input is a byte stream (unsigned char) and the
+ output is the complex modulated signal at baseband.
+
+ See generic_demod block for list of parameters.
+ """
+ constellation = qam_constellation(constellation_points, differential, mod_code)
+ # We take care of the gray coding in the constellation generation so it doesn't
+ # need to be done in the block.
+ super(qam_demod, self).__init__(constellation, differential=differential,
+ *args, **kwargs)
+
+#
+# Add these to the mod/demod registry
+#
+modulation_utils2.add_type_1_mod('qam', qam_mod)
+modulation_utils2.add_type_1_demod('qam', qam_demod)
+modulation_utils2.add_type_1_constellation('qam', qam_constellation)