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+/* aec.h
+ *
+ * Copyright (C) DFS Deutsche Flugsicherung (2004, 2005).
+ * All Rights Reserved.
+ * Author: Andre Adrian
+ *
+ * Acoustic Echo Cancellation Leaky NLMS-pw algorithm
+ *
+ * Version 0.3 filter created with www.dsptutor.freeuk.com
+ * Version 0.3.1 Allow change of stability parameter delta
+ * Version 0.4 Leaky Normalized LMS - pre whitening algorithm
+ */
+
+#ifndef _AEC_H /* include only once */
+
+#define WIDEB 2
+
+// use double if your CPU does software-emulation of float
+typedef float REAL;
+
+/* dB Values */
+#define M0dB 1.0f
+#define M3dB 0.71f
+#define M6dB 0.50f
+#define M9dB 0.35f
+#define M12dB 0.25f
+#define M18dB 0.125f
+#define M24dB 0.063f
+
+/* dB values for 16bit PCM */
+/* MxdB_PCM = 32767 * 10 ^(x / 20) */
+#define M10dB_PCM 10362.0f
+#define M20dB_PCM 3277.0f
+#define M25dB_PCM 1843.0f
+#define M30dB_PCM 1026.0f
+#define M35dB_PCM 583.0f
+#define M40dB_PCM 328.0f
+#define M45dB_PCM 184.0f
+#define M50dB_PCM 104.0f
+#define M55dB_PCM 58.0f
+#define M60dB_PCM 33.0f
+#define M65dB_PCM 18.0f
+#define M70dB_PCM 10.0f
+#define M75dB_PCM 6.0f
+#define M80dB_PCM 3.0f
+#define M85dB_PCM 2.0f
+#define M90dB_PCM 1.0f
+
+#define MAXPCM 32767.0f
+
+/* Design constants (Change to fine tune the algorithms */
+
+/* The following values are for hardware AEC and studio quality
+ * microphone */
+
+/* NLMS filter length in taps (samples). A longer filter length gives
+ * better Echo Cancellation, but maybe slower convergence speed and
+ * needs more CPU power (Order of NLMS is linear) */
+#define NLMS_LEN (100*WIDEB*8)
+
+/* Vector w visualization length in taps (samples).
+ * Must match argv value for wdisplay.tcl */
+#define DUMP_LEN (40*WIDEB*8)
+
+/* minimum energy in xf. Range: M70dB_PCM to M50dB_PCM. Should be equal
+ * to microphone ambient Noise level */
+#define NoiseFloor M55dB_PCM
+
+/* Leaky hangover in taps.
+ */
+#define Thold (60 * WIDEB * 8)
+
+// Adrian soft decision DTD
+// left point. X is ratio, Y is stepsize
+#define STEPX1 1.0
+#define STEPY1 1.0
+// right point. STEPX2=2.0 is good double talk, 3.0 is good single talk.
+#define STEPX2 2.5
+#define STEPY2 0
+#define ALPHAFAST (1.0f / 100.0f)
+#define ALPHASLOW (1.0f / 20000.0f)
+
+
+
+/* Ageing multiplier for LMS memory vector w */
+#define Leaky 0.9999f
+
+/* Double Talk Detector Speaker/Microphone Threshold. Range <=1
+ * Large value (M0dB) is good for Single-Talk Echo cancellation,
+ * small value (M12dB) is good for Doulbe-Talk AEC */
+#define GeigelThreshold M6dB
+
+/* for Non Linear Processor. Range >0 to 1. Large value (M0dB) is good
+ * for Double-Talk, small value (M12dB) is good for Single-Talk */
+#define NLPAttenuation M12dB
+
+/* Below this line there are no more design constants */
+
+typedef struct IIR_HP IIR_HP;
+
+/* Exponential Smoothing or IIR Infinite Impulse Response Filter */
+struct IIR_HP {
+ REAL x;
+};
+
+static IIR_HP* IIR_HP_init(void) {
+ IIR_HP *i = pa_xnew(IIR_HP, 1);
+ i->x = 0.0f;
+ return i;
+ }
+
+static REAL IIR_HP_highpass(IIR_HP *i, REAL in) {
+ const REAL a0 = 0.01f; /* controls Transfer Frequency */
+ /* Highpass = Signal - Lowpass. Lowpass = Exponential Smoothing */
+ i->x += a0 * (in - i->x);
+ return in - i->x;
+ };
+
+typedef struct FIR_HP_300Hz FIR_HP_300Hz;
+
+#if WIDEB==1
+/* 17 taps FIR Finite Impulse Response filter
+ * Coefficients calculated with
+ * www.dsptutor.freeuk.com/KaiserFilterDesign/KaiserFilterDesign.html
+ */
+class FIR_HP_300Hz {
+ REAL z[18];
+
+public:
+ FIR_HP_300Hz() {
+ memset(this, 0, sizeof(FIR_HP_300Hz));
+ }
+
+ REAL highpass(REAL in) {
+ const REAL a[18] = {
+ // Kaiser Window FIR Filter, Filter type: High pass
+ // Passband: 300.0 - 4000.0 Hz, Order: 16
+ // Transition band: 75.0 Hz, Stopband attenuation: 10.0 dB
+ -0.034870606, -0.039650206, -0.044063766, -0.04800318,
+ -0.051370874, -0.054082647, -0.056070227, -0.057283327,
+ 0.8214126, -0.057283327, -0.056070227, -0.054082647,
+ -0.051370874, -0.04800318, -0.044063766, -0.039650206,
+ -0.034870606, 0.0
+ };
+ memmove(z + 1, z, 17 * sizeof(REAL));
+ z[0] = in;
+ REAL sum0 = 0.0, sum1 = 0.0;
+ int j;
+
+ for (j = 0; j < 18; j += 2) {
+ // optimize: partial loop unrolling
+ sum0 += a[j] * z[j];
+ sum1 += a[j + 1] * z[j + 1];
+ }
+ return sum0 + sum1;
+ }
+};
+
+#else
+
+/* 35 taps FIR Finite Impulse Response filter
+ * Passband 150Hz to 4kHz for 8kHz sample rate, 300Hz to 8kHz for 16kHz
+ * sample rate.
+ * Coefficients calculated with
+ * www.dsptutor.freeuk.com/KaiserFilterDesign/KaiserFilterDesign.html
+ */
+struct FIR_HP_300Hz {
+ REAL z[36];
+};
+
+static FIR_HP_300Hz* FIR_HP_300Hz_init(void) {
+ FIR_HP_300Hz *ret = pa_xnew(FIR_HP_300Hz, 1);
+ memset(ret, 0, sizeof(FIR_HP_300Hz));
+ return ret;
+ }
+
+static REAL FIR_HP_300Hz_highpass(FIR_HP_300Hz *f, REAL in) {
+ REAL sum0 = 0.0, sum1 = 0.0;
+ int j;
+ const REAL a[36] = {
+ // Kaiser Window FIR Filter, Filter type: High pass
+ // Passband: 150.0 - 4000.0 Hz, Order: 34
+ // Transition band: 34.0 Hz, Stopband attenuation: 10.0 dB
+ -0.016165324, -0.017454365, -0.01871232, -0.019931411,
+ -0.021104068, -0.022222936, -0.02328091, -0.024271343,
+ -0.025187887, -0.02602462, -0.026776174, -0.027437767,
+ -0.028004972, -0.028474221, -0.028842418, -0.029107114,
+ -0.02926664, 0.8524841, -0.02926664, -0.029107114,
+ -0.028842418, -0.028474221, -0.028004972, -0.027437767,
+ -0.026776174, -0.02602462, -0.025187887, -0.024271343,
+ -0.02328091, -0.022222936, -0.021104068, -0.019931411,
+ -0.01871232, -0.017454365, -0.016165324, 0.0
+ };
+ memmove(f->z + 1, f->z, 35 * sizeof(REAL));
+ f->z[0] = in;
+
+ for (j = 0; j < 36; j += 2) {
+ // optimize: partial loop unrolling
+ sum0 += a[j] * f->z[j];
+ sum1 += a[j + 1] * f->z[j + 1];
+ }
+ return sum0 + sum1;
+ }
+#endif
+
+typedef struct IIR1 IIR1;
+
+/* Recursive single pole IIR Infinite Impulse response High-pass filter
+ *
+ * Reference: The Scientist and Engineer's Guide to Digital Processing
+ *
+ * output[N] = A0 * input[N] + A1 * input[N-1] + B1 * output[N-1]
+ *
+ * X = exp(-2.0 * pi * Fc)
+ * A0 = (1 + X) / 2
+ * A1 = -(1 + X) / 2
+ * B1 = X
+ * Fc = cutoff freq / sample rate
+ */
+struct IIR1 {
+ REAL in0, out0;
+ REAL a0, a1, b1;
+};
+
+#if 0
+ IIR1() {
+ memset(this, 0, sizeof(IIR1));
+ }
+#endif
+
+static IIR1* IIR1_init(REAL Fc) {
+ IIR1 *i = pa_xnew(IIR1, 1);
+ i->b1 = expf(-2.0f * M_PI * Fc);
+ i->a0 = (1.0f + i->b1) / 2.0f;
+ i->a1 = -(i->a0);
+ i->in0 = 0.0f;
+ i->out0 = 0.0f;
+ return i;
+ }
+
+static REAL IIR1_highpass(IIR1 *i, REAL in) {
+ REAL out = i->a0 * in + i->a1 * i->in0 + i->b1 * i->out0;
+ i->in0 = in;
+ i->out0 = out;
+ return out;
+ }
+
+
+#if 0
+/* Recursive two pole IIR Infinite Impulse Response filter
+ * Coefficients calculated with
+ * http://www.dsptutor.freeuk.com/IIRFilterDesign/IIRFiltDes102.html
+ */
+class IIR2 {
+ REAL x[2], y[2];
+
+public:
+ IIR2() {
+ memset(this, 0, sizeof(IIR2));
+ }
+
+ REAL highpass(REAL in) {
+ // Butterworth IIR filter, Filter type: HP
+ // Passband: 2000 - 4000.0 Hz, Order: 2
+ const REAL a[] = { 0.29289323f, -0.58578646f, 0.29289323f };
+ const REAL b[] = { 1.3007072E-16f, 0.17157288f };
+ REAL out =
+ a[0] * in + a[1] * x[0] + a[2] * x[1] - b[0] * y[0] - b[1] * y[1];
+
+ x[1] = x[0];
+ x[0] = in;
+ y[1] = y[0];
+ y[0] = out;
+ return out;
+ }
+};
+#endif
+
+
+// Extention in taps to reduce mem copies
+#define NLMS_EXT (10*8)
+
+// block size in taps to optimize DTD calculation
+#define DTD_LEN 16
+
+typedef struct AEC AEC;
+
+struct AEC {
+ // Time domain Filters
+ IIR_HP *acMic, *acSpk; // DC-level remove Highpass)
+ FIR_HP_300Hz *cutoff; // 150Hz cut-off Highpass
+ REAL gain; // Mic signal amplify
+ IIR1 *Fx, *Fe; // pre-whitening Highpass for x, e
+
+ // Adrian soft decision DTD (Double Talk Detector)
+ REAL dfast, xfast;
+ REAL dslow, xslow;
+
+ // NLMS-pw
+ REAL x[NLMS_LEN + NLMS_EXT]; // tap delayed loudspeaker signal
+ REAL xf[NLMS_LEN + NLMS_EXT]; // pre-whitening tap delayed signal
+ REAL w[NLMS_LEN]; // tap weights
+ int j; // optimize: less memory copies
+ double dotp_xf_xf; // double to avoid loss of precision
+ float delta; // noise floor to stabilize NLMS
+
+ // AES
+ float aes_y2; // not in use!
+
+ // w vector visualization
+ REAL ws[DUMP_LEN]; // tap weights sums
+ int fdwdisplay; // TCP file descriptor
+ int dumpcnt; // wdisplay output counter
+
+ // variables are public for visualization
+ int hangover;
+ float stepsize;
+};
+
+/* Double-Talk Detector
+ *
+ * in d: microphone sample (PCM as REALing point value)
+ * in x: loudspeaker sample (PCM as REALing point value)
+ * return: from 0 for doubletalk to 1.0 for single talk
+ */
+static float AEC_dtd(AEC *a, REAL d, REAL x);
+
+static void AEC_leaky(AEC *a);
+
+/* Normalized Least Mean Square Algorithm pre-whitening (NLMS-pw)
+ * The LMS algorithm was developed by Bernard Widrow
+ * book: Haykin, Adaptive Filter Theory, 4. edition, Prentice Hall, 2002
+ *
+ * in d: microphone sample (16bit PCM value)
+ * in x_: loudspeaker sample (16bit PCM value)
+ * in stepsize: NLMS adaptation variable
+ * return: echo cancelled microphone sample
+ */
+static REAL AEC_nlms_pw(AEC *a, REAL d, REAL x_, float stepsize);
+
+ AEC* AEC_init(int RATE);
+
+/* Acoustic Echo Cancellation and Suppression of one sample
+ * in d: microphone signal with echo
+ * in x: loudspeaker signal
+ * return: echo cancelled microphone signal
+ */
+ int AEC_doAEC(AEC *a, int d_, int x_);
+
+static float AEC_getambient(AEC *a) {
+ return a->dfast;
+ };
+static void AEC_setambient(AEC *a, float Min_xf) {
+ a->dotp_xf_xf -= a->delta; // subtract old delta
+ a->delta = (NLMS_LEN-1) * Min_xf * Min_xf;
+ a->dotp_xf_xf += a->delta; // add new delta
+ };
+static void AEC_setgain(AEC *a, float gain_) {
+ a->gain = gain_;
+ };
+#if 0
+ void AEC_openwdisplay(AEC *a);
+#endif
+static void AEC_setaes(AEC *a, float aes_y2_) {
+ a->aes_y2 = aes_y2_;
+ };
+static double AEC_max_dotp_xf_xf(AEC *a, double u);
+
+#define _AEC_H
+#endif