feat: add standard full-band activity detectors

This commit is contained in:
2026-08-29 13:16:08 +09:00
parent 11fee76280
commit 3ebc0f84e0
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import { detectCfarFrame } from "./cfar.js";
import { cooperativeYield } from "./cooperative-yield.js";
import { fftInPlace } from "./fft.js";
import { getCompleteFrameCount, hannWindow } from "./stft.js";
export const DEFAULT_MAXIMUM_ACTIVITY_FRAME_COUNT = 4_096;
export const DEFAULT_MAXIMUM_ACTIVITY_BIN_DECISIONS = 2_000_000;
export const DEFAULT_MAXIMUM_ACTIVITY_FFT_BUTTERFLIES = 100_000_000;
function requirePositiveSafeInteger(value, label) {
if (!Number.isSafeInteger(value) || value < 1) {
throw new RangeError(label + " must be a positive safe integer.");
}
return value;
}
function requireNonNegativeSafeInteger(value, label) {
if (!Number.isSafeInteger(value) || value < 0) {
throw new RangeError(label + " must be a non-negative safe integer.");
}
return value;
}
function requirePositiveFinite(value, label) {
if (!Number.isFinite(value) || value <= 0) {
throw new RangeError(label + " must be a positive finite number.");
}
return value;
}
function requireSingleChannel(samples) {
if (
(!Array.isArray(samples) && !ArrayBuffer.isView(samples)) ||
samples instanceof DataView
) {
throw new TypeError(
"samples must be one numeric channel; channel collections and DataView are not accepted.",
);
}
for (let index = 0; index < samples.length; index += 1) {
if (typeof samples[index] !== "number" || !Number.isFinite(samples[index])) {
throw new TypeError("samples[" + index + "] must be finite.");
}
}
return samples;
}
function checkedProduct(values, label) {
let product = 1;
for (const value of values) {
product *= value;
if (!Number.isSafeInteger(product)) {
throw new RangeError(label + " exceeds the safe integer range.");
}
}
return product;
}
function throwIfAborted(signal) {
if (!signal?.aborted) return;
const error = new Error("Full-band activity analysis was canceled.");
error.name = "AbortError";
throw error;
}
export function estimateCfarActivityWorkload({
sampleCount,
fftSize,
hopSize,
}) {
requireNonNegativeSafeInteger(sampleCount, "sampleCount");
requirePositiveSafeInteger(fftSize, "fftSize");
requirePositiveSafeInteger(hopSize, "hopSize");
if (fftSize < 4 || (fftSize & (fftSize - 1)) !== 0) {
throw new RangeError("fftSize must be a power of two greater than or equal to four.");
}
if (hopSize > fftSize) {
throw new RangeError("hopSize must not exceed fftSize.");
}
const frameCount = getCompleteFrameCount(sampleCount, fftSize, hopSize);
const binCount = fftSize / 2 + 1;
const binDecisionCount = checkedProduct(
[frameCount, binCount],
"CFAR bin decision count",
);
const fftButterfliesPerFrame =
(fftSize / 2) * Math.log2(fftSize);
const fftButterflyCount = checkedProduct(
[frameCount, fftButterfliesPerFrame],
"CFAR FFT butterfly count",
);
const workingBytes =
(3 * fftSize + binCount) * Float64Array.BYTES_PER_ELEMENT;
return Object.freeze({
frameCount,
binCount,
binDecisionCount,
fftButterfliesPerFrame,
fftButterflyCount,
workingBytes,
outputRecordModel: "one-bin-object-per-frame-without-truncation",
});
}
function requireLimit(value, fallback, label) {
return requirePositiveSafeInteger(value ?? fallback, label);
}
function compactFrameResult(frameResult, fftSize, hopSize) {
return Object.freeze({
frameIndex: frameResult.frame.frameIndex,
frameStartSample: frameResult.frame.frameStartSample,
frameCenterSample:
frameResult.frame.frameStartSample + (fftSize - 1) / 2,
frameAvailableAfterSample:
frameResult.frame.frameStartSample + fftSize,
updateHopSamples: hopSize,
testedBinCount: frameResult.parameters.testedBinCount,
untestedBinCount: frameResult.parameters.untestedBinCount,
detectedBinCount: frameResult.parameters.detectedBinCount,
bins: frameResult.bins,
});
}
function sharedDetectorModel(frameResult, fftSize, hopSize, frameCount) {
const {
testedBinCount,
untestedBinCount,
detectedBinCount,
...sharedParameters
} = frameResult.parameters;
void testedBinCount;
void untestedBinCount;
void detectedBinCount;
return Object.freeze({
detector: frameResult.detector,
spectrum: Object.freeze({
...frameResult.spectrum,
statistic:
"symmetric-hann-windowed-dft-squared-magnitude-per-one-sided-bin",
powerNormalization: "none",
}),
parameters: Object.freeze(sharedParameters),
calibration: frameResult.calibration,
processing: frameResult.processing,
timeAnalysis: Object.freeze({
frameCount,
fftSize,
hopSize,
completeFramesOnly: true,
partialFramePadding: false,
temporalAveraging: false,
temporalDecisionFusion: false,
overlappingFrames:
hopSize < fftSize,
frameIndependenceClaimed: false,
}),
});
}
/**
* Run standard CA-CFAR or OS-CFAR independently on every complete STFT frame
* from one explicitly selected physical channel.
*
* Every tested and untested ADC bin is retained. This function does not merge
* neighboring bins, select peaks, infer analog alias order, combine frames,
* combine microphones, or feed a localization plan.
*/
export async function analyzeCfarActivity(options) {
if (!options || typeof options !== "object") {
throw new TypeError("activity options must be an object.");
}
const samples = requireSingleChannel(options.samples);
const sampleRate = requirePositiveFinite(options.sampleRate, "sampleRate");
const fftSize = requirePositiveSafeInteger(options.fftSize, "fftSize");
const hopSize = requirePositiveSafeInteger(options.hopSize, "hopSize");
if (typeof options.channelId !== "string" || options.channelId.length === 0) {
throw new TypeError("channelId must be a non-empty string.");
}
if (options.window !== "hann") {
throw new RangeError('window must be "hann".');
}
const transformBatchSize = requirePositiveSafeInteger(
options.transformBatchSize ?? 16,
"transformBatchSize",
);
const maximumFrameCount = requireLimit(
options.maximumFrameCount,
DEFAULT_MAXIMUM_ACTIVITY_FRAME_COUNT,
"maximumFrameCount",
);
const maximumBinDecisionCount = requireLimit(
options.maximumBinDecisionCount,
DEFAULT_MAXIMUM_ACTIVITY_BIN_DECISIONS,
"maximumBinDecisionCount",
);
const maximumFftButterflies = requireLimit(
options.maximumFftButterflies,
DEFAULT_MAXIMUM_ACTIVITY_FFT_BUTTERFLIES,
"maximumFftButterflies",
);
const workload = estimateCfarActivityWorkload({
sampleCount: samples.length,
fftSize,
hopSize,
});
if (workload.frameCount === 0) {
throw new RangeError(
"samples must contain at least one complete activity-analysis frame.",
);
}
if (workload.frameCount > maximumFrameCount) {
throw new RangeError(
"activity frame count " + workload.frameCount +
" exceeds maximumFrameCount " + maximumFrameCount + ".",
);
}
if (workload.binDecisionCount > maximumBinDecisionCount) {
throw new RangeError(
"activity bin decision count " + workload.binDecisionCount +
" exceeds maximumBinDecisionCount " + maximumBinDecisionCount + ".",
);
}
if (workload.fftButterflyCount > maximumFftButterflies) {
throw new RangeError(
"activity FFT butterfly count " + workload.fftButterflyCount +
" exceeds maximumFftButterflies " + maximumFftButterflies + ".",
);
}
const window = hannWindow(fftSize);
const real = new Float64Array(fftSize);
const imaginary = new Float64Array(fftSize);
const powerSpectrum = new Float64Array(workload.binCount);
const frames = new Array(workload.frameCount);
let detectedBinCount = 0;
let detectorModel = null;
throwIfAborted(options.signal);
for (let frameIndex = 0; frameIndex < workload.frameCount; frameIndex += 1) {
const frameStartSample = frameIndex * hopSize;
imaginary.fill(0);
for (let offset = 0; offset < fftSize; offset += 1) {
real[offset] = samples[frameStartSample + offset] * window[offset];
}
fftInPlace(real, imaginary);
for (let bin = 0; bin < workload.binCount; bin += 1) {
const power =
real[bin] * real[bin] + imaginary[bin] * imaginary[bin];
if (!Number.isFinite(power)) {
throw new RangeError(
"STFT power became non-finite at frame " + frameIndex +
", bin " + bin + ".",
);
}
powerSpectrum[bin] = power;
}
const frameResult = detectCfarFrame({
detector: options.detector,
powerSpectrum,
sampleRate,
fftSize,
window: "hann",
frameComplete: true,
channelId: options.channelId,
frameIndex,
frameStartSample,
temporalAverageCount: 1,
microphoneAverageCount: 1,
trainingCellsPerSide: options.trainingCellsPerSide,
guardCellsPerSide: options.guardCellsPerSide,
nominalFalseAlarmProbability:
options.nominalFalseAlarmProbability,
...(options.detector === "os-cfar"
? { rank: options.rank }
: {}),
});
detectorModel ??= sharedDetectorModel(
frameResult,
fftSize,
hopSize,
workload.frameCount,
);
frames[frameIndex] = compactFrameResult(
frameResult,
fftSize,
hopSize,
);
detectedBinCount += frameResult.parameters.detectedBinCount;
if (
(frameIndex + 1) % transformBatchSize === 0 &&
frameIndex + 1 < workload.frameCount
) {
options.onProgress?.({
stage: "activity-cfar",
completedFrames: frameIndex + 1,
totalFrames: workload.frameCount,
});
await cooperativeYield();
throwIfAborted(options.signal);
}
}
options.onProgress?.({
stage: "activity-cfar",
completedFrames: workload.frameCount,
totalFrames: workload.frameCount,
});
throwIfAborted(options.signal);
return {
kind: "micarrsim.cfar-activity-analysis/1",
channel: Object.freeze({
mode: "one-explicit-physical-channel",
channelId: options.channelId,
microphoneFusion: "none",
}),
input: Object.freeze({
sampleRate,
sampleCount: samples.length,
adcObservableMinimumHz: 0,
adcObservableMaximumHz: sampleRate / 2,
analogFrequencyOrAliasOrderInferred: false,
sceneTruthUsed: false,
}),
detectorModel,
workload: Object.freeze({
...workload,
limits: Object.freeze({
maximumFrameCount,
maximumBinDecisionCount,
maximumFftButterflies,
}),
}),
summary: Object.freeze({
frameCount: workload.frameCount,
binRecordCount: workload.binDecisionCount,
detectedBinCount,
selectionApplied: false,
clusteringApplied: false,
localizationApplied: false,
}),
frames: Object.freeze(frames),
};
}
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const CFAR_FRAME_RESULT_KIND = "micarrsim.cfar-frame-result/1";
export const DEFAULT_OS_CFAR_MAXIMUM_BISECTION_ITERATIONS = 256;
function requirePositiveSafeInteger(value, label) {
if (!Number.isSafeInteger(value) || value < 1) {
throw new TypeError(`${label} must be a positive safe integer.`);
}
return value;
}
function requireNonNegativeSafeInteger(value, label) {
if (!Number.isSafeInteger(value) || value < 0) {
throw new TypeError(`${label} must be a non-negative safe integer.`);
}
return value;
}
function requirePositiveFinite(value, label) {
if (!Number.isFinite(value) || value <= 0) {
throw new TypeError(`${label} must be a positive finite number.`);
}
return value;
}
function requireProbability(value, label) {
if (!Number.isFinite(value) || value <= 0 || value >= 1) {
throw new RangeError(`${label} must be finite and strictly inside 0..1.`);
}
return value;
}
function requireTrainingCellCount(trainingCellCount) {
return requirePositiveSafeInteger(trainingCellCount, "trainingCellCount");
}
function requireOsRank(rank, trainingCellCount) {
if (
!Number.isSafeInteger(rank) ||
rank < 1 ||
rank > trainingCellCount
) {
throw new RangeError(
`rank must be a 1-based ascending order-statistic index inside 1..${trainingCellCount}.`,
);
}
return rank;
}
/**
* CA-CFAR multiplier for an arithmetic-mean reference statistic.
*
* Under independent, identically distributed exponential CUT/reference
* powers, Pfa = (1 + alpha / N)^(-N). The `expm1` form preserves accuracy
* when the requested probability is close to one or N is large.
*/
export function computeCaCfarThresholdMultiplier({
trainingCellCount,
nominalFalseAlarmProbability,
}) {
const count = requireTrainingCellCount(trainingCellCount);
const probability = requireProbability(
nominalFalseAlarmProbability,
"nominalFalseAlarmProbability",
);
const multiplier = count * Math.expm1(-Math.log(probability) / count);
if (!Number.isFinite(multiplier) || multiplier <= 0) {
throw new RangeError(
"CA-CFAR threshold multiplier exceeds the finite positive Float64 range.",
);
}
return multiplier;
}
/**
* Log false-alarm probability for OS-CFAR with an ascending 1-based rank.
*
* log(Pfa) = sum_(j=0)^(k-1) -log(1 + alpha / (N - j)).
* The log product avoids factorial/gamma overflow and is also used by the
* bracketed multiplier solver below.
*/
export function computeOsCfarLogFalseAlarmProbability({
trainingCellCount,
rank,
thresholdMultiplier,
}) {
const count = requireTrainingCellCount(trainingCellCount);
const selectedRank = requireOsRank(rank, count);
if (!Number.isFinite(thresholdMultiplier) || thresholdMultiplier < 0) {
throw new RangeError(
"thresholdMultiplier must be finite and non-negative.",
);
}
let sum = 0;
let compensation = 0;
for (let offset = 0; offset < selectedRank; offset += 1) {
const term = -Math.log1p(thresholdMultiplier / (count - offset));
const next = sum + term;
const correction = Math.abs(sum) >= Math.abs(term)
? (sum - next) + term
: (term - next) + sum;
sum = next;
compensation += correction;
}
return sum + compensation;
}
function solveOsCfarThresholdMultiplier({
trainingCellCount,
rank,
nominalFalseAlarmProbability,
maximumIterations,
}) {
const count = requireTrainingCellCount(trainingCellCount);
const selectedRank = requireOsRank(rank, count);
const probability = requireProbability(
nominalFalseAlarmProbability,
"nominalFalseAlarmProbability",
);
const iterationLimit = requirePositiveSafeInteger(
maximumIterations,
"maximumIterations",
);
const targetLogProbability = Math.log(probability);
const evaluate = (thresholdMultiplier) =>
computeOsCfarLogFalseAlarmProbability({
trainingCellCount: count,
rank: selectedRank,
thresholdMultiplier,
});
let lowerMultiplier = 0;
let upperMultiplier = 1;
let upperLogProbability = evaluate(upperMultiplier);
let bracketDoublings = 0;
while (upperLogProbability > targetLogProbability) {
if (upperMultiplier >= Number.MAX_VALUE / 2) {
upperMultiplier = Number.MAX_VALUE;
upperLogProbability = evaluate(upperMultiplier);
if (upperLogProbability > targetLogProbability) {
throw new RangeError(
"OS-CFAR threshold multiplier exceeds the finite Float64 range.",
);
}
break;
}
upperMultiplier *= 2;
upperLogProbability = evaluate(upperMultiplier);
bracketDoublings += 1;
}
const logarithmTolerance =
64 * Number.EPSILON *
Math.max(1, selectedRank, Math.abs(targetLogProbability));
let iterations = 0;
let multiplier = upperMultiplier;
let logarithmResidual = upperLogProbability - targetLogProbability;
let converged = Math.abs(logarithmResidual) <= logarithmTolerance;
while (!converged && iterations < iterationLimit) {
const midpoint =
lowerMultiplier + (upperMultiplier - lowerMultiplier) / 2;
if (midpoint === lowerMultiplier || midpoint === upperMultiplier) {
multiplier = Math.abs(logarithmResidual) <= logarithmTolerance
? upperMultiplier
: midpoint;
const midpointLogProbability = evaluate(multiplier);
logarithmResidual = midpointLogProbability - targetLogProbability;
converged =
Math.abs(logarithmResidual) <= logarithmTolerance ||
midpoint === lowerMultiplier ||
midpoint === upperMultiplier;
break;
}
const midpointLogProbability = evaluate(midpoint);
logarithmResidual = midpointLogProbability - targetLogProbability;
multiplier = midpoint;
iterations += 1;
if (Math.abs(logarithmResidual) <= logarithmTolerance) {
converged = true;
break;
}
if (midpointLogProbability > targetLogProbability) {
lowerMultiplier = midpoint;
} else {
upperMultiplier = midpoint;
upperLogProbability = midpointLogProbability;
}
}
if (!converged) {
throw new RangeError(
`OS-CFAR threshold multiplier did not converge within ${iterationLimit} bisection iterations.`,
);
}
if (!Number.isFinite(multiplier) || multiplier <= 0) {
throw new RangeError(
"OS-CFAR threshold multiplier exceeds the finite positive Float64 range.",
);
}
return Object.freeze({
multiplier,
iterations,
bracketDoublings,
targetLogProbability,
logarithmResidual,
logarithmTolerance,
converged: true,
});
}
/** Solve the standard exponential-background OS-CFAR multiplier by bisection. */
export function computeOsCfarThresholdMultiplier({
trainingCellCount,
rank,
nominalFalseAlarmProbability,
maximumIterations = DEFAULT_OS_CFAR_MAXIMUM_BISECTION_ITERATIONS,
}) {
return solveOsCfarThresholdMultiplier({
trainingCellCount,
rank,
nominalFalseAlarmProbability,
maximumIterations,
}).multiplier;
}
function requirePowerSpectrum(powerSpectrum, fftSize) {
if (powerSpectrum == null || !Number.isSafeInteger(powerSpectrum.length)) {
throw new TypeError("powerSpectrum must be a finite numeric array-like value.");
}
const expectedBinCount = fftSize / 2 + 1;
if (powerSpectrum.length !== expectedBinCount) {
throw new RangeError(
`powerSpectrum must contain exactly ${expectedBinCount} one-sided bins for fftSize ${fftSize}.`,
);
}
for (let bin = 0; bin < expectedBinCount; bin += 1) {
const power = powerSpectrum[bin];
if (typeof power !== "number" || !Number.isFinite(power)) {
throw new TypeError(`powerSpectrum[${bin}] must be finite.`);
}
if (power < 0) {
throw new RangeError(`powerSpectrum[${bin}] must be non-negative.`);
}
}
return expectedBinCount;
}
function scaledArithmeticMean(values) {
let scale = 0;
for (const value of values) scale = Math.max(scale, value);
if (scale === 0) return 0;
let sum = 0;
let compensation = 0;
for (const value of values) {
const normalized = value / scale;
const next = sum + normalized;
const correction = Math.abs(sum) >= Math.abs(normalized)
? (sum - next) + normalized
: (normalized - next) + sum;
sum = next;
compensation += correction;
}
return ((sum + compensation) / values.length) * scale;
}
function freezeArray(values) {
return Object.freeze(values);
}
function createFrequencyMetadata(bin, binWidthHz, nyquistHz) {
return {
adcBin: bin,
adcCenterFrequencyHz: bin * binWidthHz,
adcFftCellHz: Object.freeze({
minimumHz: Math.max(0, (bin - 0.5) * binWidthHz),
maximumHz: Math.min(nyquistHz, (bin + 0.5) * binWidthHz),
}),
};
}
function createUntestedBin({
bin,
cutPower,
binWidthHz,
nyquistHz,
reason,
}) {
return Object.freeze({
...createFrequencyMetadata(bin, binWidthHz, nyquistHz),
status: "untested",
reason,
cutPower,
referencePower: null,
thresholdPower: null,
thresholdRatio: null,
thresholdRatioStatus: "unavailable-untested-bin",
});
}
function resolveDetectorConfiguration(options, nyquistBin) {
const detector = options.detector;
if (detector !== "ca-cfar" && detector !== "os-cfar") {
throw new RangeError('detector must be "ca-cfar" or "os-cfar".');
}
const trainingCellsPerSide = requirePositiveSafeInteger(
options.trainingCellsPerSide,
"trainingCellsPerSide",
);
const guardCellsPerSide = requireNonNegativeSafeInteger(
options.guardCellsPerSide,
"guardCellsPerSide",
);
if (
trainingCellsPerSide >
Number.MAX_SAFE_INTEGER - guardCellsPerSide
) {
throw new RangeError("CFAR reference radius exceeds the safe integer range.");
}
const referenceRadius = trainingCellsPerSide + guardCellsPerSide;
if (referenceRadius > (nyquistBin - 2) / 2) {
throw new RangeError(
"CFAR training and guard cells leave no interior bin with a full symmetric reference window.",
);
}
const trainingCellCount = 2 * trainingCellsPerSide;
if (!Number.isSafeInteger(trainingCellCount)) {
throw new RangeError("trainingCellCount exceeds the safe integer range.");
}
const nominalFalseAlarmProbability = requireProbability(
options.nominalFalseAlarmProbability,
"nominalFalseAlarmProbability",
);
if (detector === "ca-cfar") {
if (options.rank !== undefined) {
throw new RangeError("rank is only valid for OS-CFAR.");
}
return {
detector,
trainingCellsPerSide,
guardCellsPerSide,
referenceRadius,
trainingCellCount,
nominalFalseAlarmProbability,
rank: null,
thresholdMultiplier: computeCaCfarThresholdMultiplier({
trainingCellCount,
nominalFalseAlarmProbability,
}),
thresholdMultiplierDerivation:
"N*expm1(-log(nominalPfa)/N)-for-arithmetic-mean-reference",
osSolver: null,
};
}
const rank = requireOsRank(options.rank, trainingCellCount);
const osSolver = solveOsCfarThresholdMultiplier({
trainingCellCount,
rank,
nominalFalseAlarmProbability,
maximumIterations:
options.maximumOsBisectionIterations ??
DEFAULT_OS_CFAR_MAXIMUM_BISECTION_ITERATIONS,
});
return {
detector,
trainingCellsPerSide,
guardCellsPerSide,
referenceRadius,
trainingCellCount,
nominalFalseAlarmProbability,
rank,
thresholdMultiplier: osSolver.multiplier,
thresholdMultiplierDerivation:
"log-product-bracketed-bisection-for-ascending-order-statistic",
osSolver,
};
}
/**
* Detect narrowband activity in one complete, single-channel, one-sided power
* spectrum. No temporal/microphone averaging, bin grouping, peak selection,
* persistence, clustering, or detector fusion is performed.
*/
export function detectCfarFrame(options) {
if (!options || typeof options !== "object") {
throw new TypeError("CFAR options must be an object.");
}
const sampleRate = requirePositiveFinite(options.sampleRate, "sampleRate");
const fftSize = requirePositiveSafeInteger(options.fftSize, "fftSize");
if (fftSize < 4 || fftSize % 2 !== 0) {
throw new RangeError("fftSize must be an even integer greater than or equal to four.");
}
if (options.window !== "hann") {
throw new RangeError('window must be "hann".');
}
if (options.frameComplete !== true) {
throw new RangeError("frameComplete must be true; partial frames are not tested.");
}
if (typeof options.channelId !== "string" || options.channelId.length === 0) {
throw new TypeError("channelId must be a non-empty string.");
}
const frameIndex = requireNonNegativeSafeInteger(
options.frameIndex,
"frameIndex",
);
const frameStartSample = requireNonNegativeSafeInteger(
options.frameStartSample,
"frameStartSample",
);
const temporalAverageCount = options.temporalAverageCount ?? 1;
const microphoneAverageCount = options.microphoneAverageCount ?? 1;
if (temporalAverageCount !== 1) {
throw new RangeError(
"temporalAverageCount must equal one; the exponential CFAR multiplier is not valid after temporal averaging.",
);
}
if (microphoneAverageCount !== 1) {
throw new RangeError(
"microphoneAverageCount must equal one; microphone averaging or fusion is not performed.",
);
}
const binCount = requirePowerSpectrum(options.powerSpectrum, fftSize);
const nyquistBin = fftSize / 2;
const configuration = resolveDetectorConfiguration(options, nyquistBin);
const {
detector,
trainingCellsPerSide,
guardCellsPerSide,
referenceRadius,
trainingCellCount,
nominalFalseAlarmProbability,
rank,
thresholdMultiplier,
thresholdMultiplierDerivation,
osSolver,
} = configuration;
const nyquistHz = sampleRate / 2;
const binWidthHz = sampleRate / fftSize;
const firstTestedBin = referenceRadius + 1;
const lastTestedBin = nyquistBin - referenceRadius - 1;
const referencePowers = new Float64Array(trainingCellCount);
const bins = new Array(binCount);
let testedBinCount = 0;
let detectedBinCount = 0;
for (let bin = 0; bin < binCount; bin += 1) {
const cutPower = options.powerSpectrum[bin];
let untestedReason = null;
if (bin === 0) {
untestedReason = "real-only-dc-bin";
} else if (bin === nyquistBin) {
untestedReason = "real-only-nyquist-bin";
} else if (bin < firstTestedBin || bin > lastTestedBin) {
untestedReason = "insufficient-full-symmetric-reference-window";
}
if (untestedReason !== null) {
bins[bin] = createUntestedBin({
bin,
cutPower,
binWidthHz,
nyquistHz,
reason: untestedReason,
});
continue;
}
let referenceIndex = 0;
const leftStart = bin - guardCellsPerSide - trainingCellsPerSide;
const leftEnd = bin - guardCellsPerSide;
for (let referenceBin = leftStart; referenceBin < leftEnd; referenceBin += 1) {
referencePowers[referenceIndex] = options.powerSpectrum[referenceBin];
referenceIndex += 1;
}
const rightStart = bin + guardCellsPerSide + 1;
const rightEnd = rightStart + trainingCellsPerSide;
for (let referenceBin = rightStart; referenceBin < rightEnd; referenceBin += 1) {
referencePowers[referenceIndex] = options.powerSpectrum[referenceBin];
referenceIndex += 1;
}
if (referenceIndex !== trainingCellCount) {
throw new Error("CFAR reference-window construction violated fixed N=2R.");
}
let referencePower;
if (detector === "ca-cfar") {
referencePower = scaledArithmeticMean(referencePowers);
} else {
referencePowers.sort();
referencePower = referencePowers[rank - 1];
}
const thresholdPower = thresholdMultiplier * referencePower;
if (!Number.isFinite(thresholdPower)) {
throw new RangeError(
`CFAR threshold exceeds the finite Float64 range at bin ${bin}.`,
);
}
const detected = cutPower > thresholdPower;
let thresholdRatio;
let thresholdRatioStatus;
if (thresholdPower === 0) {
if (cutPower === 0) {
thresholdRatio = null;
thresholdRatioStatus = "indeterminate-zero-over-zero";
} else {
thresholdRatio = null;
thresholdRatioStatus = "positive-infinity-zero-threshold";
}
} else {
thresholdRatio = cutPower / thresholdPower;
thresholdRatioStatus = "finite";
}
bins[bin] = Object.freeze({
...createFrequencyMetadata(bin, binWidthHz, nyquistHz),
status: detected ? "detected" : "not-detected",
reason: null,
cutPower,
referencePower,
thresholdPower,
thresholdRatio,
thresholdRatioStatus,
});
testedBinCount += 1;
if (detected) detectedBinCount += 1;
}
return {
kind: CFAR_FRAME_RESULT_KIND,
detector,
frame: Object.freeze({
channelId: options.channelId,
frameIndex,
frameStartSample,
complete: true,
temporalAverageCount: 1,
microphoneAverageCount: 1,
}),
spectrum: Object.freeze({
domain: "one-sided-real-adc-power-spectrum",
statistic: "caller-supplied-non-negative-power-per-bin",
sampleRate,
fftSize,
binCount,
binWidthHz,
nyquistHz,
window: "hann",
windowDefinition: "symmetric-hann-N-minus-one",
analogFrequencyOrAliasOrderInferred: false,
}),
parameters: Object.freeze({
trainingCellsPerSide,
guardCellsPerSide,
trainingCellCount,
referenceStatistic: detector === "ca-cfar"
? "arithmetic-mean-power"
: "ascending-order-statistic-power",
rank,
rankConvention: detector === "os-cfar" ? "1-based-ascending" : null,
nominalFalseAlarmProbability,
nominalPfaPerTestedCutUnderIidExponentialModel:
nominalFalseAlarmProbability,
thresholdMultiplier,
thresholdMultiplierDerivation,
thresholdComparison: "cut-power-strictly-greater-than-threshold-power",
firstTestedBin: firstTestedBin <= lastTestedBin
? firstTestedBin
: null,
lastTestedBin: firstTestedBin <= lastTestedBin
? lastTestedBin
: null,
testedBinCount,
untestedBinCount: binCount - testedBinCount,
detectedBinCount,
osSolver,
}),
calibration: Object.freeze({
status: "nominal-model-only-not-empirically-calibrated",
falseAlarmScope: "one-tested-bin-in-one-frame",
model: "independent-identically-distributed-exponential-power-with-common-mean",
calibratedFalseAlarmProbability: null,
globalFrameFalseAlarmProbability: null,
assumptions: freezeArray([
"cut-and-training-powers-are-independent",
"cut-and-training-powers-have-one-common-local-mean",
"powers-are-exponential-square-law-complex-gaussian-statistics",
]),
notCalibratedReasons: freezeArray([
"hann-window-bin-independence-is-not-guaranteed",
"colored-acoustic-noise-and-microphone-response-are-not-verified-homogeneous",
"overlapping-sliding-reference-windows-share-cells",
]),
}),
processing: Object.freeze({
completeFramesOnly: true,
temporalAveraging: false,
microphoneAveraging: false,
peakSelection: false,
topKSelection: false,
clustering: false,
contiguousBinMerging: false,
temporalPersistence: false,
detectorFusion: false,
microphoneFusion: false,
bandFusion: false,
}),
bins: Object.freeze(bins),
};
}
export function detectCaCfarFrame(options) {
return detectCfarFrame({ ...options, detector: "ca-cfar" });
}
export function detectOsCfarFrame(options) {
return detectCfarFrame({ ...options, detector: "os-cfar" });
}
+3
View File
@@ -1,3 +1,5 @@
export * from "./activity-monitor.js";
export * from "./cfar.js";
export * from "./das.js";
export * from "./evaluation.js";
export * from "./environment.js";
@@ -16,6 +18,7 @@ export * from "./covariance.js";
export * from "./propagation.js";
export * from "./realtime-localizer.js";
export * from "./signal.js";
export * from "./spectral-flux.js";
export * from "./stft.js";
export * from "./trajectory.js";
export * from "./wav.js";
+419
View File
@@ -0,0 +1,419 @@
import { fftInPlace } from "./fft.js";
const DIXON_2006_URL =
"https://www.dafx.de/paper-archive/2006/papers/p_133.pdf";
const BOECK_KREBS_SCHEDL_2012_URL =
"https://www.cp.jku.at/research/papers/Boeck_etal_ISMIR_2012.pdf";
const DEFAULT_MAXIMUM_OUTPUT_BYTES = 64 * 1024 * 1024;
function requireConfigurationObject(value, label) {
if (value === null || typeof value !== "object" || Array.isArray(value)) {
throw new TypeError(`${label} must be an object.`);
}
return value;
}
function requireOwn(configuration, key) {
if (!Object.prototype.hasOwnProperty.call(configuration, key)) {
throw new TypeError(`${key} must be provided explicitly.`);
}
return configuration[key];
}
function requirePositiveFinite(value, label) {
if (!Number.isFinite(value) || value <= 0) {
throw new RangeError(`${label} must be finite and greater than zero.`);
}
return value;
}
function requireNonNegativeFinite(value, label) {
if (!Number.isFinite(value) || value < 0) {
throw new RangeError(`${label} must be finite and non-negative.`);
}
return value;
}
function requireNonNegativeSafeInteger(value, label) {
if (!Number.isSafeInteger(value) || value < 0) {
throw new RangeError(`${label} must be a non-negative safe integer.`);
}
return value;
}
function requirePowerOfTwo(value, label) {
if (
!Number.isSafeInteger(value) ||
value < 2 ||
value > 0x20000000 ||
!Number.isInteger(Math.log2(value))
) {
throw new RangeError(
`${label} must be a power-of-two integer from 2 through 536870912.`,
);
}
return value;
}
function requireSingleChannelSamples(samples) {
const isTypedArray = ArrayBuffer.isView(samples) && !(samples instanceof DataView);
if (!Array.isArray(samples) && !isTypedArray) {
throw new TypeError("samples must be one numeric channel, not a channel collection.");
}
for (let sampleIndex = 0; sampleIndex < samples.length; sampleIndex += 1) {
if (typeof samples[sampleIndex] !== "number" || !Number.isFinite(samples[sampleIndex])) {
throw new TypeError(`samples[${sampleIndex}] must be finite.`);
}
}
return samples;
}
function symmetricHammingWindow(size) {
const window = new Float64Array(size);
for (let index = 0; index < size; index += 1) {
window[index] = 0.54 - 0.46 * Math.cos((2 * Math.PI * index) / (size - 1));
}
return window;
}
function checkedElementCount(frameCount, binCount) {
const elementCount = frameCount * binCount;
if (!Number.isSafeInteger(elementCount)) {
throw new RangeError("spectral-flux output element count exceeds safe integer range.");
}
return elementCount;
}
function checkedByteCount(elementCount, bytesPerElement, label) {
const byteCount = elementCount * bytesPerElement;
if (!Number.isSafeInteger(byteCount)) {
throw new RangeError(`${label} byte count exceeds safe integer range.`);
}
return byteCount;
}
/**
* Compute Simon Dixon's 2006 magnitude spectral-flux onset detection function.
*
* This function accepts exactly one numeric channel. It uses a symmetric
* Hamming window, complete non-padded frames, linear DFT magnitudes, positive
* (half-wave-rectified) frame differences, and an L1 sum over the full DFT.
* No per-frame or global normalization, microphone fusion, filterbank,
* maximum filter, location inference, or band inference is performed.
*/
export function computeDixonSpectralFlux(options) {
const configuration = requireConfigurationObject(options, "options");
const samples = requireSingleChannelSamples(requireOwn(configuration, "samples"));
const sampleRate = requirePositiveFinite(
requireOwn(configuration, "sampleRate"),
"sampleRate",
);
const fftSize = requirePowerOfTwo(
requireOwn(configuration, "fftSize"),
"fftSize",
);
const hopSize = requireNonNegativeSafeInteger(
requireOwn(configuration, "hopSize"),
"hopSize",
);
if (hopSize < 1 || hopSize > fftSize) {
throw new RangeError("hopSize must be between 1 and fftSize, inclusive.");
}
const channelId = requireOwn(configuration, "channelId");
if (typeof channelId !== "string" || channelId.length === 0) {
throw new TypeError("channelId must be a non-empty string.");
}
const maximumOutputBytes = configuration.maximumOutputBytes ?? DEFAULT_MAXIMUM_OUTPUT_BYTES;
if (!Number.isSafeInteger(maximumOutputBytes) || maximumOutputBytes <= 0) {
throw new RangeError("maximumOutputBytes must be a positive safe integer.");
}
const frameCount = samples.length < fftSize
? 0
: 1 + Math.floor((samples.length - fftSize) / hopSize);
const binCount = fftSize;
const positiveDifferenceElements = checkedElementCount(frameCount, binCount);
const positiveDifferenceBytes = checkedByteCount(
positiveDifferenceElements,
Float64Array.BYTES_PER_ELEMENT,
"positiveDifferences",
);
const rawOdfBytes = checkedByteCount(
frameCount,
Float64Array.BYTES_PER_ELEMENT,
"rawOdf",
);
const frameTimingBytes = checkedByteCount(
frameCount * 3,
Float64Array.BYTES_PER_ELEMENT,
"frame timing",
);
const outputBytes = positiveDifferenceBytes + rawOdfBytes + frameTimingBytes;
if (!Number.isSafeInteger(outputBytes)) {
throw new RangeError("spectral-flux output byte count exceeds safe integer range.");
}
if (outputBytes > maximumOutputBytes) {
throw new RangeError(
`spectral flux requires ${outputBytes.toLocaleString()} output bytes; ` +
`maximumOutputBytes is ${maximumOutputBytes.toLocaleString()}.`,
);
}
const workspaceElements = frameCount === 0 ? 0 : fftSize * 4;
const workspaceBytes = checkedByteCount(
workspaceElements,
Float64Array.BYTES_PER_ELEMENT,
"spectral-flux workspace",
);
const estimatedPeakTypedArrayBytes = outputBytes + workspaceBytes;
if (!Number.isSafeInteger(estimatedPeakTypedArrayBytes)) {
throw new RangeError("spectral-flux peak typed-array byte count exceeds safe integer range.");
}
const positiveDifferences = new Float64Array(positiveDifferenceElements);
const rawOdf = new Float64Array(frameCount);
const frameStartSamples = new Float64Array(frameCount);
const frameCenterSamples = new Float64Array(frameCount);
const frameAvailableAfterSamples = new Float64Array(frameCount);
const workspaceLength = frameCount === 0 ? 0 : fftSize;
const window = symmetricHammingWindow(workspaceLength);
const real = new Float64Array(workspaceLength);
const imaginary = new Float64Array(workspaceLength);
const previousMagnitudes = new Float64Array(workspaceLength);
for (let frameIndex = 0; frameIndex < frameCount; frameIndex += 1) {
const frameStart = frameIndex * hopSize;
frameStartSamples[frameIndex] = frameStart;
frameCenterSamples[frameIndex] = frameStart + (fftSize - 1) / 2;
frameAvailableAfterSamples[frameIndex] = frameStart + fftSize;
imaginary.fill(0);
for (let offset = 0; offset < fftSize; offset += 1) {
real[offset] = samples[frameStart + offset] * window[offset];
}
fftInPlace(real, imaginary);
let frameFlux = 0;
const differenceOffset = frameIndex * binCount;
for (let binIndex = 0; binIndex < binCount; binIndex += 1) {
const magnitude = Math.hypot(real[binIndex], imaginary[binIndex]);
if (!Number.isFinite(magnitude)) {
throw new RangeError(
`STFT magnitude became non-finite at frame ${frameIndex}, bin ${binIndex}.`,
);
}
const difference = frameIndex === 0
? 0
: Math.max(0, magnitude - previousMagnitudes[binIndex]);
positiveDifferences[differenceOffset + binIndex] = difference;
frameFlux += difference;
previousMagnitudes[binIndex] = magnitude;
}
if (!Number.isFinite(frameFlux)) {
throw new RangeError(`spectral flux became non-finite at frame ${frameIndex}.`);
}
rawOdf[frameIndex] = frameFlux;
}
return {
rawOdf,
positiveDifferences,
positiveDifferenceLayout: {
order: "frame-major",
frameStride: binCount,
binCount,
firstFrameHasNoPredecessor: true,
},
frameCount,
binCount,
sampleRate,
sampleCount: samples.length,
fftSize,
hopSize,
frameStartSamples,
frameCenterSamples,
frameAvailableAfterSamples,
workload: {
completeFrameCount: frameCount,
transformCount: frameCount,
binCount,
comparedBinCount: Math.max(0, frameCount - 1) * binCount,
positiveDifferenceElements,
positiveDifferenceBytes,
rawOdfBytes,
frameTimingBytes,
outputBytes,
maximumOutputBytes,
workspaceBytes,
estimatedPeakTypedArrayBytes,
},
latency: {
completeFramesOnly: true,
analysisWindowSamples: fftSize,
analysisWindowSeconds: fftSize / sampleRate,
updateHopSamples: hopSize,
updateHopSeconds: hopSize / sampleRate,
firstSpectrumAvailableAfterSamples: frameCount > 0 ? fftSize : null,
firstDifferenceAvailableAfterSamples: frameCount > 1 ? fftSize + hopSize : null,
timestampConvention:
"frameStartSamples/frameCenterSamples are descriptive; frameAvailableAfterSamples is causal availability",
},
provenance: {
algorithm: "dixon-2006-linear-magnitude-half-wave-l1-spectral-flux",
reference: {
title: "Onset Detection Revisited",
author: "Simon Dixon",
year: 2006,
url: DIXON_2006_URL,
},
input: {
channelMode: "one-explicit-channel",
channelId,
microphoneFusion: "none",
},
stft: {
window: "symmetric-hamming",
windowFormula: "0.54 - 0.46*cos(2*pi*n/(N-1))",
framePolicy: "complete-only-no-padding",
spectrumBins: "full-dft-bin-order-including-the-real-signal-negative-frequency-mirror",
},
magnitudeScale: "linear",
difference: "positive-only-half-wave-rectified",
frequencyAggregation: "unweighted-l1-sum-over-full-dft",
spectrumNormalization: "none",
globalNormalization: "none",
},
measurementSemantics: {
kind: "raw-onset-novelty",
sustainedActivityMeasure: false,
initialFrameValue: "zero-because-no-preceding-spectrum-exists",
},
limitations: {
steadySound:
"After the initial spectral rise, an exactly steady spectrum produces zero flux; finite precision and noise can leave small positive values.",
excludedInferences: [
"event probability",
"sustained activity duration",
"source count",
"source location",
"automatically selected frequency band",
],
},
};
}
/**
* Apply the causal online peak-picking conditions evaluated by Böck, Krebs,
* and Schedl (2012). All operating parameters are required from the caller.
* The local-maximum and adaptive-mean windows contain only the current and
* past frames; no future frames or global normalization are used.
*/
export function pickCausalSpectralFluxPeaks(rawOdfInput, options) {
const rawOdfSource = requireSingleChannelSamples(rawOdfInput);
const configuration = requireConfigurationObject(options, "options");
const delta = requireNonNegativeFinite(requireOwn(configuration, "delta"), "delta");
const preMaxFrames = requireNonNegativeSafeInteger(
requireOwn(configuration, "preMaxFrames"),
"preMaxFrames",
);
const preMeanFrames = requireNonNegativeSafeInteger(
requireOwn(configuration, "preMeanFrames"),
"preMeanFrames",
);
const refractoryFrames = requireNonNegativeSafeInteger(
requireOwn(configuration, "refractoryFrames"),
"refractoryFrames",
);
const rawOdf = Float64Array.from(rawOdfSource);
for (let frameIndex = 0; frameIndex < rawOdf.length; frameIndex += 1) {
if (rawOdf[frameIndex] < 0) {
throw new RangeError(`rawOdfInput[${frameIndex}] must be non-negative.`);
}
}
const adaptiveThresholds = new Float64Array(rawOdf.length);
const peakMask = new Uint8Array(rawOdf.length);
const peakFrameIndices = [];
const peaks = [];
let lastPeakFrame = null;
let runningMeanWindowSum = 0;
for (let frameIndex = 0; frameIndex < rawOdf.length; frameIndex += 1) {
const current = rawOdf[frameIndex];
runningMeanWindowSum += current;
const expiredMeanIndex = frameIndex - preMeanFrames - 1;
if (expiredMeanIndex >= 0) runningMeanWindowSum -= rawOdf[expiredMeanIndex];
const meanWindowStart = Math.max(0, frameIndex - preMeanFrames);
const meanWindowLength = frameIndex - meanWindowStart + 1;
const localMean = runningMeanWindowSum / meanWindowLength;
const adaptiveThreshold = localMean + delta;
if (!Number.isFinite(adaptiveThreshold)) {
throw new RangeError(`adaptive threshold became non-finite at frame ${frameIndex}.`);
}
adaptiveThresholds[frameIndex] = adaptiveThreshold;
const maxWindowStart = Math.max(0, frameIndex - preMaxFrames);
let isPastLocalMaximum = true;
for (
let comparisonIndex = maxWindowStart;
comparisonIndex < frameIndex;
comparisonIndex += 1
) {
if (rawOdf[comparisonIndex] > current) {
isPastLocalMaximum = false;
break;
}
}
const clearsAdaptiveThreshold = current >= adaptiveThreshold;
const clearsRefractory =
lastPeakFrame === null || frameIndex - lastPeakFrame > refractoryFrames;
if (isPastLocalMaximum && clearsAdaptiveThreshold && clearsRefractory) {
peakMask[frameIndex] = 1;
peakFrameIndices.push(frameIndex);
peaks.push({
frameIndex,
rawOdf: current,
adaptiveThreshold,
currentAndPastLocalMean: localMean,
});
lastPeakFrame = frameIndex;
}
}
return {
rawOdf,
adaptiveThresholds,
peakMask,
peakFrameIndices: Uint32Array.from(peakFrameIndices),
peaks,
configuration: {
delta,
preMaxFrames,
preMeanFrames,
refractoryFrames,
postMaxFrames: 0,
postMeanFrames: 0,
},
latency: {
causal: true,
futureContextFrames: 0,
addedLookaheadFrames: 0,
},
provenance: {
algorithm: "boeck-krebs-schedl-2012-causal-online-peak-picker",
reference: {
title: "Evaluating the Online Capabilities of Onset Detection Methods",
authors: ["Sebastian Böck", "Florian Krebs", "Markus Schedl"],
year: 2012,
url: BOECK_KREBS_SCHEDL_2012_URL,
},
localMaximum: "current-equals-maximum-of-current-and-available-past-window",
adaptiveThreshold: "mean-of-current-and-available-past-window-plus-delta",
refractoryCondition: "currentFrame-minus-lastPeakFrame-strictly-greater-than-refractoryFrames",
edgePolicy: "truncate-windows-to-available-past",
globalNormalization: "none",
},
measurementSemantics: {
kind: "thresholded-onset-events-from-raw-novelty",
deltaMeaning: "caller-selected-detection-operating-offset",
},
};
}