DirichletWindow

DirichletWindow[x]

represents a Dirichlet window function of x.

Details

Examples

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Basic Examples  (3)

Shape of a 1D Dirichlet window:

Shape of a 2D Dirichlet window:

Extract the continuous function representing the Dirichlet window:

Scope  (4)

Translated and dilated Dirichlet window:

2D Dirichlet window with a circular support:

Evaluate numerically:

Discrete Dirichlet window of length 15:

Discrete 15×10 2D Dirichlet window:

Applications  (2)

Use a window specification to calculate sample PowerSpectralDensity:

Calculate the spectrum:

Compare to spectral density calculated without a windowing function:

The Dirichlet window does not change the spectral density:

Compare to the theoretical spectral density of the process:

Use a window specification for time series estimation:

Specify the window for the spectral estimator:

Properties & Relations  (2)

DirichletWindow is equivalent to UnitBox:

Fourier transform of the Dirichlet window:

Power spectrum of the Dirichlet window:

Introduced in 2012
 (9.0)