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-rw-r--r--src/common_audio/vad/vad_gmm.c83
1 files changed, 83 insertions, 0 deletions
diff --git a/src/common_audio/vad/vad_gmm.c b/src/common_audio/vad/vad_gmm.c
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+++ b/src/common_audio/vad/vad_gmm.c
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+/*
+ * Copyright (c) 2011 The WebRTC project authors. All Rights Reserved.
+ *
+ * Use of this source code is governed by a BSD-style license
+ * that can be found in the LICENSE file in the root of the source
+ * tree. An additional intellectual property rights grant can be found
+ * in the file PATENTS. All contributing project authors may
+ * be found in the AUTHORS file in the root of the source tree.
+ */
+
+#include "vad_gmm.h"
+
+#include "signal_processing_library.h"
+#include "typedefs.h"
+
+static const int32_t kCompVar = 22005;
+static const int16_t kLog2Exp = 5909; // log2(exp(1)) in Q12.
+
+// For a normal distribution, the probability of |input| is calculated and
+// returned (in Q20). The formula for normal distributed probability is
+//
+// 1 / s * exp(-(x - m)^2 / (2 * s^2))
+//
+// where the parameters are given in the following Q domains:
+// m = |mean| (Q7)
+// s = |std| (Q7)
+// x = |input| (Q4)
+// in addition to the probability we output |delta| (in Q11) used when updating
+// the noise/speech model.
+int32_t WebRtcVad_GaussianProbability(int16_t input,
+ int16_t mean,
+ int16_t std,
+ int16_t* delta) {
+ int16_t tmp16, inv_std, inv_std2, exp_value = 0;
+ int32_t tmp32;
+
+ // Calculate |inv_std| = 1 / s, in Q10.
+ // 131072 = 1 in Q17, and (|std| >> 1) is for rounding instead of truncation.
+ // Q-domain: Q17 / Q7 = Q10.
+ tmp32 = (int32_t) 131072 + (int32_t) (std >> 1);
+ inv_std = (int16_t) WebRtcSpl_DivW32W16(tmp32, std);
+
+ // Calculate |inv_std2| = 1 / s^2, in Q14.
+ tmp16 = (inv_std >> 2); // Q10 -> Q8.
+ // Q-domain: (Q8 * Q8) >> 2 = Q14.
+ inv_std2 = (int16_t) WEBRTC_SPL_MUL_16_16_RSFT(tmp16, tmp16, 2);
+ // TODO(bjornv): Investigate if changing to
+ // |inv_std2| = (int16_t) WEBRTC_SPL_MUL_16_16_RSFT(|inv_std|, |inv_std|, 6);
+ // gives better accuracy.
+
+ tmp16 = (input << 3); // Q4 -> Q7
+ tmp16 = tmp16 - mean; // Q7 - Q7 = Q7
+
+ // To be used later, when updating noise/speech model.
+ // |delta| = (x - m) / s^2, in Q11.
+ // Q-domain: (Q14 * Q7) >> 10 = Q11.
+ *delta = (int16_t) WEBRTC_SPL_MUL_16_16_RSFT(inv_std2, tmp16, 10);
+
+ // Calculate the exponent |tmp32| = (x - m)^2 / (2 * s^2), in Q10. Replacing
+ // division by two with one shift.
+ // Q-domain: (Q11 * Q7) >> 8 = Q10.
+ tmp32 = WEBRTC_SPL_MUL_16_16_RSFT(*delta, tmp16, 9);
+
+ // If the exponent is small enough to give a non-zero probability we calculate
+ // |exp_value| ~= exp(-(x - m)^2 / (2 * s^2))
+ // ~= exp2(-log2(exp(1)) * |tmp32|).
+ if (tmp32 < kCompVar) {
+ // Calculate |tmp16| = log2(exp(1)) * |tmp32|, in Q10.
+ // Q-domain: (Q12 * Q10) >> 12 = Q10.
+ tmp16 = (int16_t) WEBRTC_SPL_MUL_16_16_RSFT(kLog2Exp, (int16_t) tmp32, 12);
+ tmp16 = -tmp16;
+ exp_value = (0x0400 | (tmp16 & 0x03FF));
+ tmp16 ^= 0xFFFF;
+ tmp16 >>= 10;
+ tmp16 += 1;
+ // Get |exp_value| = exp(-|tmp32|) in Q10.
+ exp_value >>= tmp16;
+ }
+
+ // Calculate and return (1 / s) * exp(-(x - m)^2 / (2 * s^2)), in Q20.
+ // Q-domain: Q10 * Q10 = Q20.
+ return WEBRTC_SPL_MUL_16_16(inv_std, exp_value);
+}