1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
|
#
# CPM modulation and demodulation.
#
#
# Copyright 2005-2007,2011 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.
#
# See gnuradio-examples/python/digital for examples
from gnuradio import gr, blks2
from math import pi
import numpy
import digital_swig
import modulation_utils
# default values (used in __init__ and add_options)
_def_samples_per_symbol = 2
_def_bits_per_symbol = 1
_def_h_numerator = 1
_def_h_denominator = 2
_def_cpm_type = 0 # 0=CPFSK, 1=GMSK, 2=RC, 3=GENERAL
_def_bt = 0.35
_def_symbols_per_pulse = 1
_def_generic_taps = numpy.empty(1)
_def_verbose = False
_def_log = False
# /////////////////////////////////////////////////////////////////////////////
# CPM modulator
# /////////////////////////////////////////////////////////////////////////////
class cpm_mod(gr.hier_block2):
def __init__(self,
samples_per_symbol=_def_samples_per_symbol,
bits_per_symbol=_def_bits_per_symbol,
h_numerator=_def_h_numerator,
h_denominator=_def_h_denominator,
cpm_type=_def_cpm_type,
bt=_def_bt,
symbols_per_pulse=_def_symbols_per_pulse,
generic_taps=_def_generic_taps,
verbose=_def_verbose,
log=_def_log):
"""
Hierarchical block for Continuous Phase
modulation.
The input is a byte stream (unsigned char)
representing packed bits and the
output is the complex modulated signal at baseband.
See Proakis for definition of generic CPM signals:
s(t)=exp(j phi(t))
phi(t)= 2 pi h int_0^t f(t') dt'
f(t)=sum_k a_k g(t-kT)
(normalizing assumption: int_0^infty g(t) dt = 1/2)
@param samples_per_symbol: samples per baud >= 2
@type samples_per_symbol: integer
@param bits_per_symbol: bits per symbol
@type bits_per_symbol: integer
@param h_numerator: numerator of modulation index
@type h_numerator: integer
@param h_denominator: denominator of modulation index (numerator and denominator must be relative primes)
@type h_denominator: integer
@param cpm_type: supported types are: 0=CPFSK, 1=GMSK, 2=RC, 3=GENERAL
@type cpm_type: integer
@param bt: bandwidth symbol time product for GMSK
@type bt: float
@param symbols_per_pulse: shaping pulse duration in symbols
@type symbols_per_pulse: integer
@param generic_taps: define a generic CPM pulse shape (sum = samples_per_symbol/2)
@type generic_taps: array of floats
@param verbose: Print information about modulator?
@type verbose: bool
@param debug: Print modulation data to files?
@type debug: bool
"""
gr.hier_block2.__init__(self, "cpm_mod",
gr.io_signature(1, 1, gr.sizeof_char), # Input signature
gr.io_signature(1, 1, gr.sizeof_gr_complex)) # Output signature
self._samples_per_symbol = samples_per_symbol
self._bits_per_symbol = bits_per_symbol
self._h_numerator = h_numerator
self._h_denominator = h_denominator
self._cpm_type = cpm_type
self._bt=bt
if cpm_type == 0 or cpm_type == 2 or cpm_type == 3: # CPFSK, RC, Generic
self._symbols_per_pulse = symbols_per_pulse
elif cpm_type == 1: # GMSK
self._symbols_per_pulse = 4
else:
raise TypeError, ("cpm_type must be an integer in {0,1,2,3}, is %r" % (cpm_type,))
self._generic_taps=numpy.array(generic_taps)
if samples_per_symbol < 2:
raise TypeError, ("samples_per_symbol must be >= 2, is %r" % (samples_per_symbol,))
self.nsymbols = 2**bits_per_symbol
self.sym_alphabet = numpy.arange(-(self.nsymbols-1),self.nsymbols,2).tolist()
self.ntaps = int(self._symbols_per_pulse * samples_per_symbol)
sensitivity = 2 * pi * h_numerator / h_denominator / samples_per_symbol
# Unpack Bytes into bits_per_symbol groups
self.B2s = gr.packed_to_unpacked_bb(bits_per_symbol,gr.GR_MSB_FIRST)
# Turn it into symmetric PAM data.
self.pam = gr.chunks_to_symbols_bf(self.sym_alphabet,1)
# Generate pulse (sum of taps = samples_per_symbol/2)
if cpm_type == 0: # CPFSK
self.taps= (1.0/self._symbols_per_pulse/2,) * self.ntaps
elif cpm_type == 1: # GMSK
gaussian_taps = gr.firdes.gaussian(
1.0/2, # gain
samples_per_symbol, # symbol_rate
bt, # bandwidth * symbol time
self.ntaps # number of taps
)
sqwave = (1,) * samples_per_symbol # rectangular window
self.taps = numpy.convolve(numpy.array(gaussian_taps),numpy.array(sqwave))
elif cpm_type == 2: # Raised Cosine
# generalize it for arbitrary roll-off factor
self.taps = (1-numpy.cos(2*pi*numpy.arange(0,self.ntaps)/samples_per_symbol/self._symbols_per_pulse))/(2*self._symbols_per_pulse)
elif cpm_type == 3: # Generic CPM
self.taps = generic_taps
else:
raise TypeError, ("cpm_type must be an integer in {0,1,2,3}, is %r" % (cpm_type,))
self.filter = blks2.pfb_arb_resampler_fff(samples_per_symbol, self.taps)
# FM modulation
self.fmmod = gr.frequency_modulator_fc(sensitivity)
if verbose:
self._print_verbage()
if log:
self._setup_logging()
# Connect
self.connect(self, self.B2s, self.pam, self.filter, self.fmmod, self)
def samples_per_symbol(self):
return self._samples_per_symbol
def bits_per_symbol(self):
return self._bits_per_symbol
def h_numerator(self):
return self._h_numerator
def h_denominator(self):
return self._h_denominator
def cpm_type(self):
return self._cpm_type
def bt(self):
return self._bt
def symbols_per_pulse(self):
return self._symbols_per_pulse
def _print_verbage(self):
print "Samples per symbol = %d" % self._samples_per_symbol
print "Bits per symbol = %d" % self._bits_per_symbol
print "h = " , self._h_numerator , " / " , self._h_denominator
print "Symbol alphabet = " , self.sym_alphabet
print "Symbols per pulse = %d" % self._symbols_per_pulse
print "taps = " , self.taps
print "CPM type = %d" % self._cpm_type
if self._cpm_type == 1:
print "Gaussian filter BT = %.2f" % self._bt
def _setup_logging(self):
print "Modulation logging turned on."
self.connect(self.B2s,
gr.file_sink(gr.sizeof_float, "symbols.dat"))
self.connect(self.pam,
gr.file_sink(gr.sizeof_float, "pam.dat"))
self.connect(self.filter,
gr.file_sink(gr.sizeof_float, "filter.dat"))
self.connect(self.fmmod,
gr.file_sink(gr.sizeof_gr_complex, "fmmod.dat"))
def add_options(parser):
"""
Adds CPM modulation-specific options to the standard parser
"""
parser.add_option("", "--bt", type="float", default=_def_bt,
help="set bandwidth-time product [default=%default] (GMSK)")
add_options=staticmethod(add_options)
def extract_kwargs_from_options(options):
"""
Given command line options, create dictionary suitable for passing to __init__
"""
return modulation_utils.extract_kwargs_from_options(cpm_mod.__init__,
('self',), options)
extract_kwargs_from_options=staticmethod(extract_kwargs_from_options)
# /////////////////////////////////////////////////////////////////////////////
# CPM demodulator
# /////////////////////////////////////////////////////////////////////////////
#
# Not yet implemented
#
#
# Add these to the mod/demod registry
#
modulation_utils.add_type_1_mod('cpm', cpm_mod)
#modulation_utils.add_type_1_demod('cpm', cpm_demod)
|