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Diffstat (limited to 'gr-digital/python/psk.py')
-rw-r--r-- | gr-digital/python/psk.py | 94 |
1 files changed, 94 insertions, 0 deletions
diff --git a/gr-digital/python/psk.py b/gr-digital/python/psk.py new file mode 100644 index 000000000..acedf3b69 --- /dev/null +++ b/gr-digital/python/psk.py @@ -0,0 +1,94 @@ +# +# 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, log10 +import math, cmath + +# The following algorithm generates Gray coded constellations for M-PSK for M=[2,4,8] +def make_gray_constellation(m): + # number of bits/symbol (log2(M)) + k = int(log10(m) / log10(2.0)) + + coeff = 1 + const_map = [] + bits = [0]*3 + for i in range(m): + # get a vector of the k bits to use in this mapping + bits[3-k:3] = [((i&(0x01 << k-j-1)) >> k-j-1) for j in range(k)] + + theta = -(2*bits[0]-1)*(2*pi/m)*(bits[0]+abs(bits[1]-bits[2])+2*bits[1]) + re = math.cos(theta) + im = math.sin(theta) + const_map.append(complex(re, im)) # plug it into the constellation + + # return the constellation; by default, it is normalized + return const_map + +# This makes a constellation that increments around the unit circle +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 + } + +gray_constellation = { + 2 : make_gray_constellation(2), # BPSK + 4 : make_gray_constellation(4), # QPSK + 8 : make_gray_constellation(8) # 8PSK + } + +# ----------------------- +# Do Gray code +# ----------------------- +# binary to gray coding -- constellation does Gray coding +binary_to_gray = { + 2 : range(2), + 4 : [0,1,3,2], + 8 : [0, 1, 3, 2, 7, 6, 4, 5] + } + +# gray to binary +gray_to_binary = { + 2 : range(2), + 4 : [0,1,3,2], + 8 : [0, 1, 3, 2, 6, 7, 5, 4] + } + +# ----------------------- +# Don't Gray code +# ----------------------- +# identity mapping +binary_to_ungray = { + 2 : range(2), + 4 : range(4), + 8 : range(8) + } + +# identity mapping +ungray_to_binary = { + 2 : range(2), + 4 : range(4), + 8 : range(8) + } |