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Diffstat (limited to 'python/dpd/subsample_align.py')
-rwxr-xr-x | python/dpd/subsample_align.py | 111 |
1 files changed, 111 insertions, 0 deletions
diff --git a/python/dpd/subsample_align.py b/python/dpd/subsample_align.py new file mode 100755 index 0000000..20ae56b --- /dev/null +++ b/python/dpd/subsample_align.py @@ -0,0 +1,111 @@ +# -*- coding: utf-8 -*- +# +# DPD Computation Engine, utility to do subsample alignment. +# +# http://www.opendigitalradio.org +# Licence: The MIT License, see notice at the end of this file +import datetime +import logging +import os +import numpy as np +from scipy import optimize +import matplotlib.pyplot as plt + +def gen_omega(length): + if (length % 2) == 1: + raise ValueError("Needs an even length array.") + + halflength = int(length / 2) + factor = 2.0 * np.pi / length + + omega = np.zeros(length, dtype=np.float) + for i in range(halflength): + omega[i] = factor * i + + for i in range(halflength, length): + omega[i] = factor * (i - length) + + return omega + + +def subsample_align(sig, ref_sig, plot_location=None): + """Do subsample alignment for sig relative to the reference signal + ref_sig. The delay between the two must be less than sample + + Returns the aligned signal""" + + n = len(sig) + if (n % 2) == 1: + raise ValueError("Needs an even length signal.") + halflen = int(n / 2) + + fft_sig = np.fft.fft(sig) + + omega = gen_omega(n) + + def correlate_for_delay(tau): + # A subsample offset between two signals corresponds, in the frequency + # domain, to a linearly increasing phase shift, whose slope + # corresponds to the delay. + # + # Here, we build this phase shift in rotate_vec, and multiply it with + # our signal. + + rotate_vec = np.exp(1j * tau * omega) + # zero-frequency is rotate_vec[0], so rotate_vec[N/2] is the + # bin corresponding to the [-1, 1, -1, 1, ...] time signal, which + # is both the maximum positive and negative frequency. + # I don't remember why we handle it differently. + rotate_vec[halflen] = np.cos(np.pi * tau) + + corr_sig = np.fft.ifft(rotate_vec * fft_sig) + + return -np.abs(np.sum(np.conj(corr_sig) * ref_sig)) + + optim_result = optimize.minimize_scalar(correlate_for_delay, bounds=(-1, 1), method='bounded', + options={'disp': True}) + + if optim_result.success: + best_tau = optim_result.x + + if plot_location is not None: + corr = np.vectorize(correlate_for_delay) + ixs = np.linspace(-1, 1, 100) + taus = corr(ixs) + + dt = datetime.datetime.now().isoformat() + tau_path = (plot_location + "/" + dt + "_tau.png") + plt.plot(ixs, taus) + plt.title("Subsample correlation, minimum is best: {}".format(best_tau)) + plt.savefig(tau_path) + plt.close() + + # Prepare rotate_vec = fft_sig with rotated phase + rotate_vec = np.exp(1j * best_tau * omega) + rotate_vec[halflen] = np.cos(np.pi * best_tau) + return np.fft.ifft(rotate_vec * fft_sig).astype(np.complex64) + else: + # print("Could not optimize: " + optim_result.message) + return np.zeros(0, dtype=np.complex64) + +# The MIT License (MIT) +# +# Copyright (c) 2017 Andreas Steger +# +# Permission is hereby granted, free of charge, to any person obtaining a copy +# of this software and associated documentation files (the "Software"), to deal +# in the Software without restriction, including without limitation the rights +# to use, copy, modify, merge, publish, distribute, sublicense, and/or sell +# copies of the Software, and to permit persons to whom the Software is +# furnished to do so, subject to the following conditions: +# +# The above copyright notice and this permission notice shall be included in all +# copies or substantial portions of the Software. +# +# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +# IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +# FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +# AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +# LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, +# OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE +# SOFTWARE. |