@thi.ng/dsp/power.d.ts

Composable signal generators, oscillators, filters, FFT, spectrum, windowing & related DSP utils

import type { NumericArray } from "@thi.ng/api";
import type { ComplexArray } from "./api.js";
/**
 * Computes the sum of the given array.
 *
 * @param window -
 */
export declare const integralT: (window: NumericArray) => number;
/**
 * Computes the squared sum of given array.
 *
 * @param window -
 */
export declare const integralTSquared: (window: NumericArray) => number;
/**
 * Computes the `sum(|c(i)|)` for given complex array.
 *
 * @param window -
 */
export declare const integralF: ([real, img]: ComplexArray) => number;
/**
 * Computes the `sum(|c(i)|^2)` for given complex array.
 *
 * @param window -
 */
export declare const integralFSquared: ([real, img]: ComplexArray) => number;
/**
 * If `scale` is a number, returns it. Else returns `base / integralT(scale)`.
 *
 * @param scale -
 * @param base -
 */
export declare const powerScale: (scale: number | NumericArray, base?: number) => number;
/**
 * If `scale` is a number, returns it. Else returns `integralT(scale) / base`.
 *
 * @param scale -
 * @param base -
 */
export declare const invPowerScale: (scale: number | NumericArray, base?: number) => number;
/**
 * Computes sum squared power of given time or frequency domain window.
 *
 * @remarks
 * References:
 *
 * - http://www.it.uom.gr/teaching/linearalgebra/NumericalRecipiesInC/c13-4.pdf
 * - http://www.hep.ucl.ac.uk/~rjn/saltStuff/fftNormalisation.pdf
 *
 * @param window -
 */
export declare const powerSumSquared: (window: NumericArray | ComplexArray) => number;
/**
 * Computes mean squared power of given time or frequency domain window.
 *
 * @remarks
 * References:
 *
 * - http://www.it.uom.gr/teaching/linearalgebra/NumericalRecipiesInC/c13-4.pdf
 * - http://www.hep.ucl.ac.uk/~rjn/saltStuff/fftNormalisation.pdf
 *
 * @param window -
 */
export declare const powerMeanSquared: (window: NumericArray | ComplexArray) => number;
/**
 * Computes time-integral squared power of given time or frequency domain
 * window.
 *
 * @remarks
 * References:
 *
 * - http://www.it.uom.gr/teaching/linearalgebra/NumericalRecipiesInC/c13-4.pdf
 * - http://www.hep.ucl.ac.uk/~rjn/saltStuff/fftNormalisation.pdf
 *
 * @param window -
 */
export declare const powerTimeIntegral: (window: NumericArray | ComplexArray, fs: number) => number;
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