Shape of a 1D Blackman window:

Shape of a 2D Blackman window:

Extract the continuous function representing the Blackman window:

Evaluate numerically:

Translated and dilated Blackman window:

2D Blackman window with a circular support:

Discrete Blackman window of length 15:

Discrete 15×10 2D Blackman window:

Create a lowpass FIR filter with cutoff frequency of and length 21:

Taper the filter using a Blackman window to improve stopband attenuation:

Normalize:

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

Filter a white noise signal using the Blackman window method:

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 Blackman window:

Normalize to create a window with unit area:

Fourier transform of the Blackman window:

Power spectrum of the Blackman window:

Discrete Blackman window of length 15:

Normalize so the coefficients add up to 1:

Discrete-time Fourier transform of a normalized discrete Blackman window of length 15:

Magnitude spectrum:

Power spectra of the Blackman and rectangular windows: