B3M38SPD seminar project - beehive monitor with LoRa reporting
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 ```/** ``` ``` * Spectral peak detection algorithm with interpolation ``` ``` * ``` ``` * Written by Ondřej Hruška "MightyPork", Dec 30, 2017 ``` ``` * ``` ``` * This source code is hereby released to the public domain ``` ``` * for anyone to use for anything they want. ``` ``` */ ``` ``` ``` ```#include ``` ```#include ``` ```#include ``` ```#include ``` ```#include ``` ```#include ``` ```#include ``` ``` ``` ```/** ``` ``` * Rolling average centered at a bin ``` ``` * ``` ``` * @param arr - array of bins ``` ``` * @param count - number of bins ``` ``` * @param pos - position we're intersted in ``` ``` * @param len - size of the rolling window, centered around the position ``` ``` * @return average within the window, excluding bin at position 'pos' ``` ``` */ ``` ```static float ravg(float *arr, uint32_t count, uint32_t pos, uint32_t len) ``` ```{ ``` ``` // XXX this needs some adjustments, it's not perfectly centered ``` ``` ``` ``` // if we're at the end or beginning, use only bins we have available ``` ``` uint32_t from = (pos > len/2 ? pos-len/2 : 0); ``` ``` uint32_t to = (pos < count-len/2 ? pos+len/2 : count-1); ``` ``` ``` ``` float acu = 0; ``` ``` for (uint32_t i = from; i <= to; i++) { ``` ``` if (i == pos) continue; ``` ``` acu += arr[i]; ``` ``` } ``` ``` acu /= (to - from); // not +1 because we skip the middle ``` ``` ``` ``` return acu; ``` ```} ``` ``` ``` ```/** A detected peak struct */ ``` ```struct peak { ``` ``` float position; // precise position, unit is 1 bin ``` ``` float magnitude; // precise magnitude ``` ``` float weight; // sorting weight (internal use) ``` ```}; ``` ``` ``` ```/** ``` ``` * Quadratic interpolation to find the real peak position and magnitude ``` ``` * ``` ``` * @param pk - peak struct to store the results in ``` ``` * @param values - the bins array ``` ``` * @param vcount - size of the bins array ``` ``` * @param pos - position of the peak we're triyng to analyze ``` ``` */ ``` ```static void qinterp(struct peak *pk, const float *values, uint32_t vcount, uint32_t pos) ``` ```{ ``` ``` float a = (pos>0?values[pos-1]:values[pos]); ``` ``` float b = values[pos]; ``` ``` float c = (posposition = pos + p; ``` ``` pk->magnitude = b - 0.25 * (a - c) * p; ``` ```} ``` ``` ``` ```/** Copy a peak */ ``` ```static void cpy_pk(struct peak *dest, const struct peak *src) ``` ```{ ``` ``` dest->position = src->position; ``` ``` dest->magnitude = src->magnitude; ``` ``` dest->weight = src->weight; ``` ```} ``` ``` ``` ```/** ``` ``` * Detect peaks in a real float spectrum ``` ``` * ``` ``` * @param peaks - destination for the peak detect algorithm, peaks are sorted from the most important ``` ``` * @param pcount - number of peaks to detect ``` ``` * @param values - the spectrum as an array of bin magnitudes ``` ``` * @param vcount - number of bins in the spectrum ``` ``` * @return average level (excluding the peaks) ``` ``` */ ``` ```float pkdetect(struct peak *peaks, uint32_t pcount, float *values, uint32_t vcount) ``` ```{ ``` ``` uint32_t used_peaks = 0; ``` ``` ``` ``` // clear the table ``` ``` for (uint32_t i = 0; i < pcount; i++) { ``` ``` peaks[i].position ``` ``` = peaks[i].magnitude ``` ``` = peaks[i].weight = 0; ``` ``` } ``` ``` ``` ``` struct peak pk; // scratch peak ``` ``` float prev = 0; ``` ``` float sum = 0; ``` ``` for (uint32_t i = 0; i < vcount; i++) { ``` ``` float base = ravg(values, vcount, i, 32); ``` ``` float raw = values[i]; ``` ``` float normed = raw / base; ``` ``` if (i > 0) { ``` ``` // difference from the previous bin (this serves as the primary peak detection factor) ``` ``` float diff = normed - prev; ``` ``` ``` ``` if (diff > 0) { ``` ``` // find the precise position and magnitude ``` ``` qinterp(&pk, values, vcount, i); ``` ``` // weight for sorting the peaks ``` ``` pk.weight = diff * pk.magnitude; ``` ``` ``` ``` // try to fit it in the peak list ``` ``` for (uint32_t j = 0; j < pcount; j++) { ``` ``` if (pk.weight > peaks[j].weight) { ``` ``` for (uint32_t k = used_peaks; k > j; k--) { ``` ``` cpy_pk(&peaks[k], &peaks[k-1]); ``` ``` } ``` ``` cpy_pk(&peaks[j], &pk); ``` ``` used_peaks++; ``` ``` break; ``` ``` } ``` ``` } ``` ``` } ``` ``` } ``` ``` prev = normed; ``` ``` sum += raw; // this is rms ``` ``` } ``` ``` ``` ``` // now remove some area around the found peaks (NOTE: this will cause double removal if two peaks happened to be very close together) ``` ``` float pksum = 0; ``` ``` const uint32_t pkexpand = 4; ``` ``` for (uint32_t i = 0; i < pcount; i++) { ``` ``` uint32_t pos = (uint32_t)roundf(peaks[i].position); ``` ``` uint32_t from = (pos > pkexpand/2 ? pos-pkexpand/2 : 0); ``` ``` uint32_t to = (pos < vcount-pkexpand/2 ? pos+pkexpand/2 : vcount-1); ``` ``` for (uint32_t j = from; j <= to; j++) { ``` ``` pksum += values[j]; ``` ``` } ``` ``` } ``` ``` ``` ``` float noise = (sum - pksum); ``` ``` if (noise < 0) noise = 0; ``` ``` return noise / vcount; ``` ```} ``` ``` ``` ``` ``` ``` ``` ```// this is just for the demo ``` ```union smp_union { ``` ``` uint8_t bytes[4096]; ``` ``` float floats[1024]; ``` ```}; ``` ``` ``` ```union smp_union smp; ``` ``` ``` ```int main (void) ``` ```{ ``` ``` uint8_t b[] = { ``` ``` 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``` ``` }; ``` ``` memcpy(smp.bytes, b, 4096); ``` ``` uint32_t sample_count = 2048; ``` ``` uint32_t bins_count = 1024; ``` ``` ``` ``` // Peaks go here ``` ``` struct peak peaks[10]; ``` ``` ``` ``` // Magic * *# @ * / + ``` ``` float floor = pkdetect(&peaks[0], 10, smp.floats, bins_count); ``` ``` ``` ``` // Show the results... ``` ``` float bin = 21.7; ``` ``` for (int i = 0; i < 10; i++) { ``` ``` printf("pk %d ... %f @ %f Hz (weight %f)\r\n", i, ``` ``` peaks[i].magnitude, ``` ``` peaks[i].position*bin, ``` ``` peaks[i].weight); ``` ``` } ``` ``` ``` ``` printf("Noise power per bin is %f\r\n", floor); ``` ``` ``` ``` return 0; ``` ```} ``` ``` ```