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+#
+# Copyright 2005,2006 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.
+#
+
+from math import pi, sqrt
+import math
+
+# These constellations are generated for Gray coding when symbos [1, ..., m] are used
+# Mapping to Gray coding is therefore unnecessary
+
+def make_constellation(m):
+ # number of bits/symbol (log2(M))
+ k = int(math.log10(m) / math.log10(2.0))
+
+ coeff = 1
+ 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)
+ }