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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.
+ */
+
+/*
+ * This file contains the splitting filter functions.
+ *
+ */
+
+#include "signal_processing_library.h"
+
+// Number of samples in a low/high-band frame.
+enum
+{
+ kBandFrameLength = 160
+};
+
+// QMF filter coefficients in Q16.
+static const WebRtc_UWord16 WebRtcSpl_kAllPassFilter1[3] = {6418, 36982, 57261};
+static const WebRtc_UWord16 WebRtcSpl_kAllPassFilter2[3] = {21333, 49062, 63010};
+
+///////////////////////////////////////////////////////////////////////////////////////////////
+// WebRtcSpl_AllPassQMF(...)
+//
+// Allpass filter used by the analysis and synthesis parts of the QMF filter.
+//
+// Input:
+// - in_data : Input data sequence (Q10)
+// - data_length : Length of data sequence (>2)
+// - filter_coefficients : Filter coefficients (length 3, Q16)
+//
+// Input & Output:
+// - filter_state : Filter state (length 6, Q10).
+//
+// Output:
+// - out_data : Output data sequence (Q10), length equal to
+// |data_length|
+//
+
+void WebRtcSpl_AllPassQMF(WebRtc_Word32* in_data, const WebRtc_Word16 data_length,
+ WebRtc_Word32* out_data, const WebRtc_UWord16* filter_coefficients,
+ WebRtc_Word32* filter_state)
+{
+ // The procedure is to filter the input with three first order all pass filters
+ // (cascade operations).
+ //
+ // a_3 + q^-1 a_2 + q^-1 a_1 + q^-1
+ // y[n] = ----------- ----------- ----------- x[n]
+ // 1 + a_3q^-1 1 + a_2q^-1 1 + a_1q^-1
+ //
+ // The input vector |filter_coefficients| includes these three filter coefficients.
+ // The filter state contains the in_data state, in_data[-1], followed by
+ // the out_data state, out_data[-1]. This is repeated for each cascade.
+ // The first cascade filter will filter the |in_data| and store the output in
+ // |out_data|. The second will the take the |out_data| as input and make an
+ // intermediate storage in |in_data|, to save memory. The third, and final, cascade
+ // filter operation takes the |in_data| (which is the output from the previous cascade
+ // filter) and store the output in |out_data|.
+ // Note that the input vector values are changed during the process.
+ WebRtc_Word16 k;
+ WebRtc_Word32 diff;
+ // First all-pass cascade; filter from in_data to out_data.
+
+ // Let y_i[n] indicate the output of cascade filter i (with filter coefficient a_i) at
+ // vector position n. Then the final output will be y[n] = y_3[n]
+
+ // First loop, use the states stored in memory.
+ // "diff" should be safe from wrap around since max values are 2^25
+ diff = WEBRTC_SPL_SUB_SAT_W32(in_data[0], filter_state[1]); // = (x[0] - y_1[-1])
+ // y_1[0] = x[-1] + a_1 * (x[0] - y_1[-1])
+ out_data[0] = WEBRTC_SPL_SCALEDIFF32(filter_coefficients[0], diff, filter_state[0]);
+
+ // For the remaining loops, use previous values.
+ for (k = 1; k < data_length; k++)
+ {
+ diff = WEBRTC_SPL_SUB_SAT_W32(in_data[k], out_data[k - 1]); // = (x[n] - y_1[n-1])
+ // y_1[n] = x[n-1] + a_1 * (x[n] - y_1[n-1])
+ out_data[k] = WEBRTC_SPL_SCALEDIFF32(filter_coefficients[0], diff, in_data[k - 1]);
+ }
+
+ // Update states.
+ filter_state[0] = in_data[data_length - 1]; // x[N-1], becomes x[-1] next time
+ filter_state[1] = out_data[data_length - 1]; // y_1[N-1], becomes y_1[-1] next time
+
+ // Second all-pass cascade; filter from out_data to in_data.
+ diff = WEBRTC_SPL_SUB_SAT_W32(out_data[0], filter_state[3]); // = (y_1[0] - y_2[-1])
+ // y_2[0] = y_1[-1] + a_2 * (y_1[0] - y_2[-1])
+ in_data[0] = WEBRTC_SPL_SCALEDIFF32(filter_coefficients[1], diff, filter_state[2]);
+ for (k = 1; k < data_length; k++)
+ {
+ diff = WEBRTC_SPL_SUB_SAT_W32(out_data[k], in_data[k - 1]); // =(y_1[n] - y_2[n-1])
+ // y_2[0] = y_1[-1] + a_2 * (y_1[0] - y_2[-1])
+ in_data[k] = WEBRTC_SPL_SCALEDIFF32(filter_coefficients[1], diff, out_data[k-1]);
+ }
+
+ filter_state[2] = out_data[data_length - 1]; // y_1[N-1], becomes y_1[-1] next time
+ filter_state[3] = in_data[data_length - 1]; // y_2[N-1], becomes y_2[-1] next time
+
+ // Third all-pass cascade; filter from in_data to out_data.
+ diff = WEBRTC_SPL_SUB_SAT_W32(in_data[0], filter_state[5]); // = (y_2[0] - y[-1])
+ // y[0] = y_2[-1] + a_3 * (y_2[0] - y[-1])
+ out_data[0] = WEBRTC_SPL_SCALEDIFF32(filter_coefficients[2], diff, filter_state[4]);
+ for (k = 1; k < data_length; k++)
+ {
+ diff = WEBRTC_SPL_SUB_SAT_W32(in_data[k], out_data[k - 1]); // = (y_2[n] - y[n-1])
+ // y[n] = y_2[n-1] + a_3 * (y_2[n] - y[n-1])
+ out_data[k] = WEBRTC_SPL_SCALEDIFF32(filter_coefficients[2], diff, in_data[k-1]);
+ }
+ filter_state[4] = in_data[data_length - 1]; // y_2[N-1], becomes y_2[-1] next time
+ filter_state[5] = out_data[data_length - 1]; // y[N-1], becomes y[-1] next time
+}
+
+void WebRtcSpl_AnalysisQMF(const WebRtc_Word16* in_data, WebRtc_Word16* low_band,
+ WebRtc_Word16* high_band, WebRtc_Word32* filter_state1,
+ WebRtc_Word32* filter_state2)
+{
+ WebRtc_Word16 i;
+ WebRtc_Word16 k;
+ WebRtc_Word32 tmp;
+ WebRtc_Word32 half_in1[kBandFrameLength];
+ WebRtc_Word32 half_in2[kBandFrameLength];
+ WebRtc_Word32 filter1[kBandFrameLength];
+ WebRtc_Word32 filter2[kBandFrameLength];
+
+ // Split even and odd samples. Also shift them to Q10.
+ for (i = 0, k = 0; i < kBandFrameLength; i++, k += 2)
+ {
+ half_in2[i] = WEBRTC_SPL_LSHIFT_W32((WebRtc_Word32)in_data[k], 10);
+ half_in1[i] = WEBRTC_SPL_LSHIFT_W32((WebRtc_Word32)in_data[k + 1], 10);
+ }
+
+ // All pass filter even and odd samples, independently.
+ WebRtcSpl_AllPassQMF(half_in1, kBandFrameLength, filter1, WebRtcSpl_kAllPassFilter1,
+ filter_state1);
+ WebRtcSpl_AllPassQMF(half_in2, kBandFrameLength, filter2, WebRtcSpl_kAllPassFilter2,
+ filter_state2);
+
+ // Take the sum and difference of filtered version of odd and even
+ // branches to get upper & lower band.
+ for (i = 0; i < kBandFrameLength; i++)
+ {
+ tmp = filter1[i] + filter2[i] + 1024;
+ tmp = WEBRTC_SPL_RSHIFT_W32(tmp, 11);
+ low_band[i] = (WebRtc_Word16)WEBRTC_SPL_SAT(WEBRTC_SPL_WORD16_MAX,
+ tmp, WEBRTC_SPL_WORD16_MIN);
+
+ tmp = filter1[i] - filter2[i] + 1024;
+ tmp = WEBRTC_SPL_RSHIFT_W32(tmp, 11);
+ high_band[i] = (WebRtc_Word16)WEBRTC_SPL_SAT(WEBRTC_SPL_WORD16_MAX,
+ tmp, WEBRTC_SPL_WORD16_MIN);
+ }
+}
+
+void WebRtcSpl_SynthesisQMF(const WebRtc_Word16* low_band, const WebRtc_Word16* high_band,
+ WebRtc_Word16* out_data, WebRtc_Word32* filter_state1,
+ WebRtc_Word32* filter_state2)
+{
+ WebRtc_Word32 tmp;
+ WebRtc_Word32 half_in1[kBandFrameLength];
+ WebRtc_Word32 half_in2[kBandFrameLength];
+ WebRtc_Word32 filter1[kBandFrameLength];
+ WebRtc_Word32 filter2[kBandFrameLength];
+ WebRtc_Word16 i;
+ WebRtc_Word16 k;
+
+ // Obtain the sum and difference channels out of upper and lower-band channels.
+ // Also shift to Q10 domain.
+ for (i = 0; i < kBandFrameLength; i++)
+ {
+ tmp = (WebRtc_Word32)low_band[i] + (WebRtc_Word32)high_band[i];
+ half_in1[i] = WEBRTC_SPL_LSHIFT_W32(tmp, 10);
+ tmp = (WebRtc_Word32)low_band[i] - (WebRtc_Word32)high_band[i];
+ half_in2[i] = WEBRTC_SPL_LSHIFT_W32(tmp, 10);
+ }
+
+ // all-pass filter the sum and difference channels
+ WebRtcSpl_AllPassQMF(half_in1, kBandFrameLength, filter1, WebRtcSpl_kAllPassFilter2,
+ filter_state1);
+ WebRtcSpl_AllPassQMF(half_in2, kBandFrameLength, filter2, WebRtcSpl_kAllPassFilter1,
+ filter_state2);
+
+ // The filtered signals are even and odd samples of the output. Combine
+ // them. The signals are Q10 should shift them back to Q0 and take care of
+ // saturation.
+ for (i = 0, k = 0; i < kBandFrameLength; i++)
+ {
+ tmp = WEBRTC_SPL_RSHIFT_W32(filter2[i] + 512, 10);
+ out_data[k++] = (WebRtc_Word16)WEBRTC_SPL_SAT(32767, tmp, -32768);
+
+ tmp = WEBRTC_SPL_RSHIFT_W32(filter1[i] + 512, 10);
+ out_data[k++] = (WebRtc_Word16)WEBRTC_SPL_SAT(32767, tmp, -32768);
+ }
+
+}