Shape of a 1D Poisson window:

Shape of a 2D Poisson window:

Extract the continuous function representing the Poisson window:

Parameterized Poisson window:

Evaluate numerically:

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

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

Translated and dilated Poisson window:

2D Poisson window with a circular support:

Discrete Poisson window of length 15:

Discrete 15×11 2D Poisson window:

Use the Poisson window to diminish the effect of signal partitioning when computing the spectrogram:

Use a window specification to calculate sample PowerSpectralDensity:

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:

The area under the Poisson window:

Normalize to create a window with unit area:

Fourier transform of the Poisson window:

Power spectrum of the Poisson window:

Fourier transform of the parametrized Poisson window:

Variation of the magnitude spectrum of the Kaiser window as a function of the parameter :

2D sampling of Poisson window will use a different parameter for each row of samples when passed as a symbol to Array:

Use a pure function instead: