1 /* SPDX-License-Identifier: GPL-2.0-only */
3 * SpanDSP - a series of DSP components for telephony
5 * echo.c - A line echo canceller. This code is being developed
6 * against and partially complies with G168.
8 * Written by Steve Underwood <steveu@coppice.org>
9 * and David Rowe <david_at_rowetel_dot_com>
11 * Copyright (C) 2001 Steve Underwood and 2007 David Rowe
13 * All rights reserved.
20 Line echo cancellation for voice
24 This module aims to provide G.168-2002 compliant echo cancellation, to remove
25 electrical echoes (e.g. from 2-4 wire hybrids) from voice calls.
29 The heart of the echo cancellor is FIR filter. This is adapted to match the
30 echo impulse response of the telephone line. It must be long enough to
31 adequately cover the duration of that impulse response. The signal transmitted
32 to the telephone line is passed through the FIR filter. Once the FIR is
33 properly adapted, the resulting output is an estimate of the echo signal
34 received from the line. This is subtracted from the received signal. The result
35 is an estimate of the signal which originated at the far end of the line, free
36 from echos of our own transmitted signal.
38 The least mean squares (LMS) algorithm is attributed to Widrow and Hoff, and
39 was introduced in 1960. It is the commonest form of filter adaption used in
40 things like modem line equalisers and line echo cancellers. There it works very
41 well. However, it only works well for signals of constant amplitude. It works
42 very poorly for things like speech echo cancellation, where the signal level
43 varies widely. This is quite easy to fix. If the signal level is normalised -
44 similar to applying AGC - LMS can work as well for a signal of varying
45 amplitude as it does for a modem signal. This normalised least mean squares
46 (NLMS) algorithm is the commonest one used for speech echo cancellation. Many
47 other algorithms exist - e.g. RLS (essentially the same as Kalman filtering),
48 FAP, etc. Some perform significantly better than NLMS. However, factors such
49 as computational complexity and patents favour the use of NLMS.
51 A simple refinement to NLMS can improve its performance with speech. NLMS tends
52 to adapt best to the strongest parts of a signal. If the signal is white noise,
53 the NLMS algorithm works very well. However, speech has more low frequency than
54 high frequency content. Pre-whitening (i.e. filtering the signal to flatten its
55 spectrum) the echo signal improves the adapt rate for speech, and ensures the
56 final residual signal is not heavily biased towards high frequencies. A very
57 low complexity filter is adequate for this, so pre-whitening adds little to the
58 compute requirements of the echo canceller.
60 An FIR filter adapted using pre-whitened NLMS performs well, provided certain
63 - The transmitted signal has poor self-correlation.
64 - There is no signal being generated within the environment being
67 The difficulty is that neither of these can be guaranteed.
69 If the adaption is performed while transmitting noise (or something fairly
70 noise like, such as voice) the adaption works very well. If the adaption is
71 performed while transmitting something highly correlative (typically narrow
72 band energy such as signalling tones or DTMF), the adaption can go seriously
73 wrong. The reason is there is only one solution for the adaption on a near
74 random signal - the impulse response of the line. For a repetitive signal,
75 there are any number of solutions which converge the adaption, and nothing
76 guides the adaption to choose the generalised one. Allowing an untrained
77 canceller to converge on this kind of narrowband energy probably a good thing,
78 since at least it cancels the tones. Allowing a well converged canceller to
79 continue converging on such energy is just a way to ruin its generalised
80 adaption. A narrowband detector is needed, so adapation can be suspended at
83 The adaption process is based on trying to eliminate the received signal. When
84 there is any signal from within the environment being cancelled it may upset
85 the adaption process. Similarly, if the signal we are transmitting is small,
86 noise may dominate and disturb the adaption process. If we can ensure that the
87 adaption is only performed when we are transmitting a significant signal level,
88 and the environment is not, things will be OK. Clearly, it is easy to tell when
89 we are sending a significant signal. Telling, if the environment is generating
90 a significant signal, and doing it with sufficient speed that the adaption will
91 not have diverged too much more we stop it, is a little harder.
93 The key problem in detecting when the environment is sourcing significant
94 energy is that we must do this very quickly. Given a reasonably long sample of
95 the received signal, there are a number of strategies which may be used to
96 assess whether that signal contains a strong far end component. However, by the
97 time that assessment is complete the far end signal will have already caused
98 major mis-convergence in the adaption process. An assessment algorithm is
99 needed which produces a fairly accurate result from a very short burst of far
104 The echo cancellor processes both the transmit and receive streams sample by
105 sample. The processing function is not declared inline. Unfortunately,
106 cancellation requires many operations per sample, so the call overhead is only
114 G.168 echo canceller descriptor. This defines the working state for a line
135 /* Average levels and averaging filter states */
149 /* foreground and background filter states */
150 struct fir16_state_t fir_state
;
151 struct fir16_state_t fir_state_bg
;
152 int16_t *fir_taps16
[2];
154 /* DC blocking filter states */
160 /* optional High Pass Filter states */
166 /* Parameters for the optional Hoth noise generator */
171 /* snapshot sample of coeffs used for development */
175 #endif /* __ECHO_H */