#!/usr/bin/env python
#
# Copyright 2004 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.
#
import re
import math
import sys
import operator
from gnuradio import trellis
######################################################################
# Decimal to any base conversion.
# Convert 'num' to a list of 'l' numbers representing 'num'
# to base 'base' (most significant symbol first).
######################################################################
def dec2base(num,base,l):
s=range(l)
n=num
for i in range(l):
s[l-i-1]=n%base
n=int(n/base)
if n!=0:
print 'Number ', num, ' requires more than ', l, 'digits.'
return s
######################################################################
# Conversion from any base to decimal.
# Convert a list 's' of symbols to a decimal number
# (most significant symbol first)
######################################################################
def base2dec(s,base):
num=0
for i in range(len(s)):
num=num*base+s[i]
return num
######################################################################
# Generate a new FSM representing the concatenation of two FSMs
######################################################################
def fsm_concatenate(f1,f2):
if f1.O() > f2.I():
print "Not compatible FSMs\n"
I=f1.I()
S=f1.S()*f2.S()
O=f2.O()
nsm=list([0]*I*S)
osm=list([0]*I*S)
for s1 in range(f1.S()):
for s2 in range(f2.S()):
for i in range(f1.I()):
ns1=f1.NS()[s1*f1.I()+i]
o1=f1.OS()[s1*f1.I()+i]
ns2=f2.NS()[s2*f2.I()+o1]
o2=f2.OS()[s2*f2.I()+o1]
s=s1*f2.S()+s2
ns=ns1*f2.S()+ns2
nsm[s*I+i]=ns
osm[s*I+i]=o2
f=trellis.fsm(I,S,O,nsm,osm)
return f
######################################################################
# Generate a new FSM representing n stages through the original FSM
######################################################################
def fsm_radix(f,n):
I=f.I()**n
S=f.S()
O=f.O()**n
nsm=list([0]*I*S)
osm=list([0]*I*S)
for s in range(f.S()):
for i in range(I):
ii=dec2base(i,f.I(),n)
oo=list([0]*n)
ns=s
for k in range(n):
oo[k]=f.OS()[ns*f.I()+ii[k]]
ns=f.NS()[ns*f.I()+ii[k]]
nsm[s*I+i]=ns
osm[s*I+i]=base2dec(oo,f.O())
f=trellis.fsm(I,S,O,nsm,osm)
return f
######################################################################
# Automatically generate the lookup table that maps the FSM outputs
# to channel inputs corresponding to a channel 'channel' and a modulation
# 'mod'. Optional normalization of channel to unit energy.
# This table is used by the 'metrics' block to translate
# channel outputs to metrics for use with the Viterbi algorithm.
# Limitations: currently supports only one-dimensional modulations.
######################################################################
def make_isi_lookup(mod,channel,normalize):
dim=mod[0]
constellation = mod[1]
if normalize:
p = 0
for i in range(len(channel)):
p = p + channel[i]**2
for i in range(len(channel)):
channel[i] = channel[i]/math.sqrt(p)
lookup=range(len(constellation)**len(channel))
for o in range(len(constellation)**len(channel)):
ss=dec2base(o,len(constellation),len(channel))
ll=0
for i in range(len(channel)):
ll=ll+constellation[ss[i]]*channel[i]
lookup[o]=ll
return (1,lookup)
######################################################################
# A list of common modulations.
# Format: (dimensionality,constellation)
######################################################################
pam2 = (1,[-1, 1])
pam4 = (1,[-3, -1, 3, 1]) # includes Gray mapping
pam8 = (1,[-7, -5, -3, -1, 1, 3, 5, 7])
psk4=(2,[1, 0, \
0, 1, \
0, -1,\
-1, 0]) # includes Gray mapping
psk8=(2,[math.cos(2*math.pi*0/8), math.sin(2*math.pi*0/8), \
math.cos(2*math.pi*1/8), math.sin(2*math.pi*1/8), \
math.cos(2*math.pi*2/8), math.sin(2*math.pi*2/8), \
math.cos(2*math.pi*3/8), math.sin(2*math.pi*3/8), \
math.cos(2*math.pi*4/8), math.sin(2*math.pi*4/8), \
math.cos(2*math.pi*5/8), math.sin(2*math.pi*5/8), \
math.cos(2*math.pi*6/8), math.sin(2*math.pi*6/8), \
math.cos(2*math.pi*7/8), math.sin(2*math.pi*7/8)])
orth2 = (2,[1, 0, \
0, 1])
orth4=(4,[1, 0, 0, 0, \
0, 1, 0, 0, \
0, 0, 1, 0, \
0, 0, 0, 1])
######################################################################
# A list of channels to be tested
######################################################################
# C test channel (J. Proakis, Digital Communications, McGraw-Hill Inc., 2001)
c_channel = [0.227, 0.460, 0.688, 0.460, 0.227]
if __name__ == '__main__':
f1=trellis.fsm('fsm_files/awgn1o2_4.fsm')
#f2=trellis.fsm('fsm_files/awgn2o3_4.fsm')
print f1.I(), f1.S(), f1.O()
print f1.NS()
print f1.OS()
#print f2.I(), f2.S(), f2.O()
#print f2.NS()
#print f2.OS()
##f1.write_trellis_svg('f1.svg',4)
#f2.write_trellis_svg('f2.svg',4)
#f=fsm_concatenate(f1,f2)
f=fsm_radix(f1,2)
print "----------\n"
print f.I(), f.S(), f.O()
print f.NS()
print f.OS()
#f.write_trellis_svg('f.svg',4)