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-rw-r--r--gnuradio-core/src/python/gnuradio/utils/Makefile.am1
-rw-r--r--gnuradio-core/src/python/gnuradio/utils/alignment.py139
2 files changed, 140 insertions, 0 deletions
diff --git a/gnuradio-core/src/python/gnuradio/utils/Makefile.am b/gnuradio-core/src/python/gnuradio/utils/Makefile.am
index c0ac613b9..9191d8d5e 100644
--- a/gnuradio-core/src/python/gnuradio/utils/Makefile.am
+++ b/gnuradio-core/src/python/gnuradio/utils/Makefile.am
@@ -31,6 +31,7 @@ nobase_utilspython_PYTHON = \
__init__.py \
gray_code.py \
mod_codes.py \
+ alignment.py \
doxyxml/__init__.py \
doxyxml/base.py \
doxyxml/doxyindex.py \
diff --git a/gnuradio-core/src/python/gnuradio/utils/alignment.py b/gnuradio-core/src/python/gnuradio/utils/alignment.py
new file mode 100644
index 000000000..d32365866
--- /dev/null
+++ b/gnuradio-core/src/python/gnuradio/utils/alignment.py
@@ -0,0 +1,139 @@
+#!/usr/bin/env python
+#
+# Copyright 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.
+#
+"""
+This module contains functions for aligning sequences.
+
+>>> import random
+>>> random.seed(1234)
+>>> ran_seq = [random.randint(0,1) for i in range(0, 100)]
+>>> offset_seq = [0] * 20 + ran_seq
+>>> correct, overlap, offset = align_sequences(ran_seq, offset_seq)
+>>> print(correct, overlap, offset)
+(1.0, 100, -20)
+>>> offset_err_seq = []
+>>> for bit in offset_seq:
+... if random.randint(0,4) == 4:
+... offset_err_seq.append(random.randint(0,1))
+... else:
+... offset_err_seq.append(bit)
+>>> correct, overlap, offset = align_sequences(ran_seq, offset_err_seq)
+>>> print(overlap, offset)
+(100, -20)
+
+"""
+
+import random
+
+# DEFAULT PARAMETERS
+# If the fraction of matching bits between two sequences is greater than
+# this the sequences are assumed to be aligned.
+def_correct_cutoff = 0.9
+# The maximum offset to test during sequence alignment.
+def_max_offset = 500
+# The maximum number of samples to take from two sequences to check alignment.
+def_num_samples = 1000
+
+def compare_sequences(d1, d2, offset, sample_indices=None):
+ """
+ Takes two binary sequences and an offset and returns the number of
+ matching entries and the number of compared entries.
+ d1 & d2 -- sequences
+ offset -- offset of d2 relative to d1
+ sample_indices -- a list of indices to use for the comparison
+ """
+ max_index = min(len(d1), len(d2)+offset)
+ if sample_indices is None:
+ sample_indices = range(0, max_index)
+ correct = 0
+ total = 0
+ for i in sample_indices:
+ if i >= max_index:
+ break
+ if d1[i] == d2[i-offset]:
+ correct += 1
+ total += 1
+ return (correct, total)
+
+def random_sample(size, num_samples=def_num_samples, seed=None):
+ """
+ Returns a set of random integers between 0 and (size-1).
+ The set contains no more than num_samples integers.
+ """
+ random.seed(seed)
+ if num_samples > size:
+ indices = set(range(0, size))
+ else:
+ if num_samples > size/2:
+ num_samples = num_samples/2
+ indices = set([])
+ while len(indices) < num_samples:
+ index = random.randint(0, size-1)
+ indices.add(index)
+ indices = list(indices)
+ indices.sort()
+ return indices
+
+def align_sequences(d1, d2,
+ num_samples=def_num_samples,
+ max_offset=def_max_offset,
+ correct_cutoff=def_correct_cutoff,
+ seed=None,
+ indices=None):
+ """
+ Takes two sequences and finds the offset and which the two sequences best
+ match. It returns the fraction correct, the number of entries compared,
+ the offset.
+ d1 & d2 -- sequences to compare
+ num_samples -- the maximum number of entries to compare
+ max_offset -- the maximum offset between the sequences that is checked
+ correct_cutoff -- If the fraction of bits correct is greater than this then
+ the offset is assumed to optimum.
+ seed -- a random number seed
+ indices -- an explicit list of the indices used to compare the two sequences
+ """
+ max_overlap = max(len(d1), len(d2))
+ if indices is None:
+ indices = random_sample(max_overlap, num_samples, seed)
+ max_frac_correct = 0
+ best_offset = None
+ best_compared = None
+ best_correct = None
+ pos_range = range(0, min(len(d1), max_offset))
+ neg_range = range(-1, -min(len(d2), max_offset), -1)
+ # Interleave the positive and negative offsets.
+ int_range = [item for items in zip(pos_range, neg_range) for item in items]
+ for offset in int_range:
+ correct, compared = compare_sequences(d1, d2, offset, indices)
+ frac_correct = 1.0*correct/compared
+ if frac_correct > max_frac_correct:
+ max_frac_correct = frac_correct
+ best_offset = offset
+ best_compared = compared
+ best_correct = correct
+ if frac_correct > correct_cutoff:
+ break
+ return max_frac_correct, best_compared, best_offset, indices
+
+if __name__ == "__main__":
+ import doctest
+ doctest.testmod()
+