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