Files
amodem/drift.py
2014-07-22 14:19:50 +03:00

142 lines
3.8 KiB
Python

import numpy as np
import itertools
import recv
import common
class Filter(object):
def __init__(self, b, a):
self.b = b
self.a = a
self.x = [0] * len(b)
self.y = [0] * len(a)
def __call__(self, x):
self.x = [x] + self.x[:-1]
assert len(self.x) == len(self.b)
assert len(self.y) == len(self.a)
y = np.dot(self.x, self.b) - np.dot(self.y, self.a)
self.y = [y] + self.y[:-1]
return y
def overlap_iter(x, n, overlap=0):
assert overlap >= 0
assert overlap < n
res = []
x = iter(x)
while True:
res.extend(itertools.islice(x, n - len(res)))
if len(res) < n:
break
yield tuple(res)
res = res[n - overlap:]
def test_overlap():
assert list(overlap_iter(range(7), 3, 1)) == [(0,1,2), (2,3,4), (4,5,6)]
assert list(overlap_iter(range(7), 3, 0)) == [(0,1,2), (3,4,5)]
def calib(S):
for S0, S1 in overlap_iter(S, 2, overlap=1):
dS = S1 / S0
yield dS
class Interpolator(object):
def __init__(self, resolution=1000, width=20):
self.width = width
self.resolution = resolution
self.N = resolution * width
u = np.arange(-self.N, self.N, dtype=float)
window = (1 + np.cos(0.5 * np.pi * u / self.N)) / 2.0
h = np.sinc(u / resolution) * window
self.filt = []
for index in range(resolution): # split into multiphase filters
filt = h[index::resolution]
filt = filt[::-1]
self.filt.append(filt)
lengths = map(len, self.filt)
assert set(lengths) == set([2*width])
assert len(self.filt) == resolution
def get(self, offset):
# offset = k + (j / self.resolution)
k = int(offset)
j = int((offset - k) * self.resolution)
coeffs = self.filt[j]
return coeffs, k - self.width
class Sampler(object):
def __init__(self, src, interp=None):
self.src = iter(src)
self.index = 0
self.freq = 1.0
self.interp = interp or Interpolator()
self.offset = self.interp.width
self.buff = []
def sample(self):
coeffs, begin = self.interp.get(self.offset)
end = begin + len(coeffs)
# C = ', '.join(['%.3f' % c for c in coeffs[18:23]])
# print '%.3f [%s] %d %d' % (self.offset, C, begin, end)
while True:
if self.index == end:
self.buff = self.buff[-len(coeffs):]
return np.dot(coeffs, self.buff)
try:
s = self.src.next()
except StopIteration:
break
self.buff.append(s)
self.index += 1
def next(self):
self.offset += self.freq
def main():
import pylab
if 1:
f0 = 10e3
_, x = common.load('recv_10kHz.pcm')
x = x[100:]
y = []
sampler = Sampler(x)
sampler.freq = 1.0 + 0.112/f0
while True:
u = sampler.sample()
if u is None:
break
y.append(u)
sampler.next()
x_ = np.array(y)
S = recv.extract_symbols(x_, f0)
S = np.array(list(S))
y = S #np.array(list(calib(S)))
phase = np.unwrap(np.angle(y))
phase_error = (phase[-1] - phase[0])
phase_error_per_1ms = phase_error / (len(phase) - 1)
freq_error = phase_error_per_1ms * 1000.0 / (2 * np.pi)
print phase_error, len(phase)
print phase_error_per_1ms
print freq_error
if 1:
pylab.figure()
pylab.plot(y.real, y.imag, '.')
pylab.grid('on')
pylab.show()
return
I = Interpolator()
f = I.filt
pylab.figure()
pylab.plot(zip(*f[::100]))
pylab.show()
if __name__ == '__main__':
main()