Shape of a 1D exact flat top window:

Shape of a 2D exact flat top window:

Extract the continuous function representing the exact flat top window:

Evaluate numerically:

Translated and dilated exact flat top window:

2D exact flat top window with a circular support:

Discrete exact flat top window of length 15:

Discrete 15×10 2D flat top window:

Create a moving average filter of length 21:

Taper the filter using a flat top window:

Log-magnitude plot of the power spectra of the filters:

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 exact flat top window:

Normalize to create a window with unit area:

Fourier transform of the exact flat top window:

Power spectrum of the exact flat top window: