KaiserWindow

KaiserWindow[x]

represents a Kaiser window function of x.

KaiserWindow[x,α]

uses the parameter α.

Details

Examples

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Basic Examples  (3)

Shape of a 1D Kaiser window:

Shape of a 2D Kaiser window:

Discrete Kaiser window of length 15:

Scope  (7)

Shape of a 1D Kaiser window using a specified parameter:

Variation of the shape as a function of the parameter α:

Discrete Kaiser window of length 15:

Discrete 15×10 2D Kaiser window:

Translated and dilated Kaiser window:

Two-dimensional Kaiser window with a circular support:

Extract the continuous function representing the Kaiser window:

Parameterized Kaiser window:

Evaluate numerically:

Applications  (4)

Use a smoothing window when performing a lowpass filtering:

Create a moving average filter of length 11:

Smooth the filter using a Kaiser window:

Log-magnitude plot of the frequency spectrum of the filters:

Use a window specification to calculate sample PowerSpectralDensity of an ARMA process:

Calculate the spectrum:

Compare to spectral density calculated without a windowing function:

The plot shows that window smooths the spectral density:

Compare to the theoretical spectral density of the process:

Use a window specification for time series estimation:

Specify window for spectral estimator:

Properties & Relations  (2)

The area under the Kaiser window:

Normalize to create a window with unit area:

Fourier transform of the Kaiser window:

Power spectrum of the Kaiser window:

Possible Issues  (1)

Two-dimensional sampling of Kaiser window will use a different parameter for each row of samples when passed as a symbol to Array:

Use a pure function instead:

Introduced in 2012
 (9.0)