Shape of a 1D Bartlett window:

Shape of a 2D Bartlett window:

Extract the continuous function representing the Bartlett window:

Evaluate numerically:

Translated and dilated Bartlett window:

2D Bartlett window with a circular support:

Discrete Bartlett window of length 15:

Discrete 15×10 2D Bartlett window:

Create a moving average filter of length 11:

Taper the filter using a Bartlett window:

Normalize:

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

Filter a white noise signal using the Bartlett 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:

BartlettWindow is equivalent to a compressed UnitTriangle:

The area under the Bartlett window:

Normalize to create a window with unit area:

Fourier transform of the Bartlett window:

Power spectrum of the Bartlett window:

Discrete Bartlett window of length 15:

Normalize so the coefficients add up to 1:

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

Magnitude spectrum:

Power spectra of the Bartlett and rectangular window sequences: