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/*
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* AudioLMSDenoiseNotch_F32.h
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*
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* Created: Bob Larkin, January 2022
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* Purpose; LMS DeNoise and Auto-notch for audio.
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* Assumes floating-point data.
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*
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* 22 January 2022 copyright (c)Robert Larkin 2022
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*
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* Permission is hereby granted, free of charge, to any person obtaining a copy
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* of this software and associated documentation files (the "Software"), to deal
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* in the Software without restriction, including without limitation the rights
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* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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* copies of the Software, and to permit persons to whom the Software is
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* furnished to do so, subject to the following conditions:
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*
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* The above copyright notice, development notice, and this permission
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* notice shall be included in all copies or substantial portions of the Software.
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*
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* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
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* THE SOFTWARE.
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*/
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/* *** Notes ***
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* The LMS DeNoise is effective for improving the signal-to-noise ratio (S/N)
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* when the input S/N is reasonably high. When the signal is "buried" in the noise
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* it is much less effective. Thus it is effective as a radio "squelch" for SSB.
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*
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* The auto-notch is very effective at removing annoying tones when they are
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* reasonably strong. Again for radio systems, this can be quite useful.
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* The initialization selects whether DeNoise or AutoNotch is used. It makes
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* no sense to use both at once as, in a perfect world, that would remove everything.
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*
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* The LMS algorithm for optimization was first proposed by
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* Widrow and Hoff in 1960.
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* It has been applied extensively due to its simplicity. The form here
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* optimizes the coefficients of a FIR filter to recognize any coherency
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* to the input signal. This can be use to reduce non-coherent noise by
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* using the FIR filter output. Alternatively, the input signal can be
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* subtracted from the FIR filter output to remove coherent signals,
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* producing the so called "auto-notch."
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*
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* This particular write of the denoise and auto-notch traces back to
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* Johan Forrer, KC7WW, per September 1994 QEX. From there it was used
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* in the DSP-10 project, http://www.janbob.com/electron/dsp10/dsp10.htm
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*
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* The normalized version of coefficient update is generally best. If it
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* is not desired, it can be removed at compile time by commenting out
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* "#define LMS_NORMALIZE" below.
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*
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* Initialization also sets the size of the FIR buffer used to filter signal
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* and noise. Small buffers respond to change quickly. Large buffers can work
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* on lower audio frequencies. Experiment with this. The FIR buffer is set in
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* powers of 2, such as 32, 64 or 128. The maximum value is set at compile
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* time by the #define MAX_FIR (default 128).
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*
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* Initialization sets the decorrelation delay size. If the LMS is preceded by
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* a narrow band filter, this delay must be greater. Wide band systems can
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* work with less delay. Experiment with this, also. The DELAY buffer size
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* can be any value from 2 to MAX DELAY. The maximum value is set at compile
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* time by the #define MAX_DELAY (default 16).
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*
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* This block behaves as a pass-through filter with one input and one output.
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*
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* There are two parameters that are set in the .ino via the function
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* setParameters(float32_t beta, float32_t decay)
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* The first, beta determines the rate of convergence of the coefficients.
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* This changes the "sound" of the audio and normally is one of a radio's
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* front panel adjustments. The second parameter, decay, slowly turns
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* the algorithm off when signals are absent. It is normally very
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* slightly less than 1.0. This can also change the "sound."
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*
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* The Teensy 3.6 needs 690 microseconds per 128 block update using a FIR
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* buffer size of 32. It needs 1335 microseconds using 64 FIR Buffer.
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* Note that the ARM library LMS routines might improve these
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* numbers. Those routines use double buffer sizes to remove the
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* need for the circular buffering used here. It also uses x4 loop un-wrapping.
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* The price is a signifigantly more complex setup involving moving of data
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* and the added memory.
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*
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* Teensy 4.x needs 140 microseconds for 32 FIR word buffer size,
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* 270 for 64, and 529 microseconds for 128.
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*
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* All timing was done with a delay buffer of 4, but this size has
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* very little effect, anyway. Normalization was off, also, but
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* again, this has a minor effect.
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*/
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#ifndef _AudioLMSDenoiseNotch_F32_h
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#define _AudioLMSDenoiseNotch_F32_h
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#include <AudioStream_F32.h>
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#include "arm_math.h"
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// Default is to use the normalized form of coefficient update
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#define LMS_NORMALIZE
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#define MAX_FIR 256
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#define MAX_DELAY 16
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#define DENOISE 1
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#define NOTCH 2
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class AudioLMSDenoiseNotch_F32 : public AudioStream_F32
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{
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//GUI: inputs:1, outputs:1 //this line used for automatic generation of GUI node
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public:
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//constructor
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AudioLMSDenoiseNotch_F32(void) : AudioStream_F32(1, inputQueueArray_f32) {};
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AudioLMSDenoiseNotch_F32(const AudioSettings_F32 &settings) :
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AudioStream_F32(1, inputQueueArray_f32) {};
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uint16_t initializeLMS(uint16_t _what, uint16_t _lengthDataF, uint16_t _lengthDataD)
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{
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what = _what;
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if(what != DENOISE && what != NOTCH) what = DENOISE;
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lengthDataF = powf(2.0f, log2f(_lengthDataF)+0.000001f); //Make sure a power of 2
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lengthDataF = (lengthDataF>MAX_FIR ? MAX_FIR : lengthDataF); // Limit length
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kMask = lengthDataF - 1;
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lengthDataD = _lengthDataD;
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lengthDataD = (lengthDataD>MAX_DELAY ? MAX_DELAY : lengthDataD); // Limit length
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#ifdef LMS_NORMALIZE
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for(int i=0; i<128; i++) powerNorm[i] = 0.01f;
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pNorm = 0.01f * 128.0f;
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#endif
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return lengthDataF;
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}
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// If setEnable is false the LMS object update() becomes pass-though.
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void enable(bool setEnable) {
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if(setEnable) doLMS=true;
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else doLMS=false;
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}
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void setParameters(float32_t _beta, float32_t _decay)
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{
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beta = _beta;
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if(beta>=1.0f) beta = 0.999999f;
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if(beta<0.000001) beta = 0.000001f;
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decay = _decay;
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if(decay>=1.0f) decay = 0.999999f;
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if(decay<0.000001) decay = 0.000001f;
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}
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virtual void update(void);
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private:
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audio_block_f32_t *inputQueueArray_f32[1]; //memory pointer for the input to this module
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uint16_t what = DENOISE; // DENOISE or NOTCH
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bool doLMS = false;
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float32_t dataD[16]; // Can be made less than 16 by lengthDataD
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uint16_t kNextD = 0;
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uint16_t kOffsetD = 0;
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uint16_t lengthDataD = 4; // Any value, 2 to MAX_DELAY
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float32_t coeff[128];
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#ifdef LMS_NORMALIZE
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float32_t powerNorm[128];
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float32_t pNorm = 0.0f;
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#endif
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// dataF[] is arranged, by added variables kOffset and
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// lengthDataF, to be circular. A power-of-2 mask makes it circular.
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float32_t dataF[128]; // Can be made less than 128 by lengthDataF
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float32_t dataOutF = 0.0f;
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uint16_t kOffsetF = 0;
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uint16_t lengthDataF = 64;
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uint16_t kMask = 63;
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float32_t beta = 0.03f;
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float32_t decay = 0.995f;
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uint16_t numLeak = 0;
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};
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#endif
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