Shape of a 1D Hamming window:

Shape of a 2D Hamming window:

Extract the continuous function representing the Hamming window:

Evaluate numerically:

Translated and dilated Hamming window:

2D Hamming window with a circular support:

Discrete Hamming window of length 15:

Discrete 15×10 2D Hamming window:

Create a moving average filter of length 21:

Taper the filter using a Hamming 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 Hamming window:

Normalize to create a window with unit area:

Fourier transform of the Hamming window:

Power spectrum of the Hamming window:

Discrete-time Fourier transform of the discrete Hamming window of length 11:

Magnitude at ω=0:

Magnitude spectrum:

Power spectra of the Hamming and rectangular windows: