import Signal from 'konpeito/src/math/core/tools/Signal.js'

public class | source

Signal

Signal processing class for Matrix class.

These methods can be used in the Matrix method chain.
This class cannot be called directly.

Static Method Summary

Static Public Methods
public static	conv(x1: KMatrixInputData, x2: KMatrixInputData): Matrix Convolution integral, Polynomial multiplication.
public static	dct(x: KMatrixInputData, type: KSignalSettings): Matrix Discrete cosine transform (DCT-II, DCT).
public static	dct2(x: KMatrixInputData): Matrix Discrete two-dimensional cosine transform (2D DCT).
public static	fft(x: KMatrixInputData, type: KSignalSettings): Matrix Discrete Fourier transform (DFT).
public static	fft2(x: KMatrixInputData): Matrix Discrete two-dimensional Fourier transform (2D DFT).
public static	fftshift(x: KMatrixInputData, type: KSignalSettings): Matrix FFT shift.
public static	hamming(size: KMatrixInputData, periodic: string \| number): Matrix Hamming window.
public static	hann(size: KMatrixInputData, periodic: string \| number): Matrix Hann (Hanning) window.
public static	idct(X: KMatrixInputData, type: KSignalSettings): Matrix Inverse discrete cosine transform (DCT-III, IDCT),
public static	idct2(X: KMatrixInputData): Matrix Inverse discrete two-dimensional cosine transform (2D IDCT),
public static	ifft(X: KMatrixInputData, type: KSignalSettings): Matrix Inverse discrete Fourier transform (IDFT),
public static	ifft2(X: KMatrixInputData): Matrix Inverse discrete two-dimensional Fourier transform (2D IDFT),
public static	powerfft(x: KMatrixInputData, type: KSignalSettings): Matrix Power spectral density.
public static	window(name: string, size: KMatrixInputData, periodic: string \| number): Matrix Create window function for signal processing.
public static	xcorr(x1: KMatrixInputData, x2: KMatrixInputData): Matrix ACF(Autocorrelation function), cros-correlation function.

Static Public Methods

public static conv(x1: KMatrixInputData, x2: KMatrixInputData): Matrix source

Convolution integral, Polynomial multiplication.

Params:

Name	Type	Attribute	Description
x1	KMatrixInputData
x2	KMatrixInputData

Return:

Matrix

public static dct(x: KMatrixInputData, type: KSignalSettings): Matrix source

Discrete cosine transform (DCT-II, DCT).

Params:

Name	Type	Attribute	Description
x	KMatrixInputData
type	KSignalSettings	optional

Return:

Matrix

dct(x)

public static dct2(x: KMatrixInputData): Matrix source

Discrete two-dimensional cosine transform (2D DCT).

Params:

Name	Type	Attribute	Description
x	KMatrixInputData

Return:

Matrix

public static fft(x: KMatrixInputData, type: KSignalSettings): Matrix source

Discrete Fourier transform (DFT).

Params:

Name	Type	Attribute	Description
x	KMatrixInputData
type	KSignalSettings	optional

Return:

Matrix

fft(x)

public static fft2(x: KMatrixInputData): Matrix source

Discrete two-dimensional Fourier transform (2D DFT).

Params:

Name	Type	Attribute	Description
x	KMatrixInputData

Return:

Matrix

public static fftshift(x: KMatrixInputData, type: KSignalSettings): Matrix source

FFT shift. Circular shift beginning at the center of the signal.

Params:

Name	Type	Attribute	Description
x	KMatrixInputData
type	KSignalSettings	optional

Return:

Matrix

public static hamming(size: KMatrixInputData, periodic: string | number): Matrix source

Hamming window.

Params:

Name	Type	Attribute	Description
size	KMatrixInputData		Window length
periodic	string \| number	optional default: "symmetric"	0/"symmetric" (default) , 1/"periodic"

Return:

Matrix

Column vector.

public static hann(size: KMatrixInputData, periodic: string | number): Matrix source

Hann (Hanning) window.

Params:

Name	Type	Attribute	Description
size	KMatrixInputData		Window length
periodic	string \| number	optional default: "symmetric"	0/"symmetric" (default) , 1/"periodic"

Return:

Matrix

Column vector.

public static idct(X: KMatrixInputData, type: KSignalSettings): Matrix source

Inverse discrete cosine transform (DCT-III, IDCT),

Params:

Name	Type	Attribute	Description
X	KMatrixInputData
type	KSignalSettings	optional

Return:

Matrix

idct(x)

public static idct2(X: KMatrixInputData): Matrix source

Inverse discrete two-dimensional cosine transform (2D IDCT),

Params:

Name	Type	Attribute	Description
X	KMatrixInputData

Return:

Matrix

public static ifft(X: KMatrixInputData, type: KSignalSettings): Matrix source

Inverse discrete Fourier transform (IDFT),

Params:

Name	Type	Attribute	Description
X	KMatrixInputData
type	KSignalSettings	optional

Return:

Matrix

ifft(X)

public static ifft2(X: KMatrixInputData): Matrix source

Inverse discrete two-dimensional Fourier transform (2D IDFT),

Params:

Name	Type	Attribute	Description
X	KMatrixInputData

Return:

Matrix

public static powerfft(x: KMatrixInputData, type: KSignalSettings): Matrix source

Power spectral density.

Params:

Name	Type	Attribute	Description
x	KMatrixInputData
type	KSignalSettings	optional

Return:

Matrix

abs(fft(x)).^2

public static window(name: string, size: KMatrixInputData, periodic: string | number): Matrix source

Create window function for signal processing. The following window functions are available.

"rectangle": Rectangular window
"hann": Hann/Hanning window.
"hamming": Hamming window.
"blackman": Blackman window.
"blackmanharris": Blackman-Harris window.
"blackmannuttall": Blackman-Nuttall window.
"flattop": Flat top window.
"sin", Half cycle sine window.
"vorbis", Vorbis window.

Params:

Name	Type	Attribute	Description
name	string		Window function name.
size	KMatrixInputData		Window length
periodic	string \| number	optional default: "symmetric"	0/"symmetric" (default) , 1/"periodic"

Return:

Matrix

Column vector.

public static xcorr(x1: KMatrixInputData, x2: KMatrixInputData): Matrix source

ACF(Autocorrelation function), cros-correlation function.

If the argument is omitted, it is calculated by the autocorrelation function.

Params:

Name	Type	Attribute	Description
x1	KMatrixInputData
x2	KMatrixInputData	optional	Matrix to calculate the correlation.

Return:

Matrix