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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 2, 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 cmath
+
+def make_constellation(m):
+ return [cmath.exp(i * 2 * pi / m * 1j) for i in range(m)]
+
+# Common definition of constellations for Tx and Rx
+constellation = {
+ 2 : make_constellation(2), # BPSK
+ 4 : make_constellation(4), # QPSK
+ 8 : make_constellation(8) # 8PSK
+ }
+
+# -----------------------
+# Do Gray code
+# -----------------------
+# binary to gray coding
+binary_to_gray = {
+ 2 : (0, 1),
+ 4 : (0, 1, 3, 2),
+ 8 : (0, 1, 3, 2, 7, 6, 4, 5)
+ }
+
+# gray to binary
+gray_to_binary = {
+ 2 : (0, 1),
+ 4 : (0, 1, 3, 2),
+ 8 : (0, 1, 3, 2, 6, 7, 5, 4)
+ }
+
+# -----------------------
+# Don't Gray code
+# -----------------------
+# identity mapping
+binary_to_ungray = {
+ 2 : (0, 1),
+ 4 : (0, 1, 2, 3),
+ 8 : (0, 1, 2, 3, 4, 5, 6, 7)
+ }
+
+# identity mapping
+ungray_to_binary = {
+ 2 : (0, 1),
+ 4 : (0, 1, 2, 3),
+ 8 : (0, 1, 2, 3, 4, 5, 6, 7)
+ }