represents a Bartlett window function of x.
- BartlettWindow, also known as the triangular window, is a window function typically used for antialiasing and resampling.
- Window functions are used in applications where data is processed in short segments and have a smoothing effect by gradually tapering data values to zero at the ends of each segment.
- BartlettWindow[x] is equal to .
- BartlettWindow automatically threads over lists.
Examplesopen allclose all
Basic Examples (3)
Create a moving average filter of length 11:
Taper the filter using a Bartlett window:
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:
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:
Properties & Relations (6)
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:
Power spectra of the Bartlett and rectangular window sequences:
Wolfram Research (2012), BartlettWindow, Wolfram Language function, https://reference.wolfram.com/language/ref/BartlettWindow.html.
Wolfram Language. 2012. "BartlettWindow." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/BartlettWindow.html.
Wolfram Language. (2012). BartlettWindow. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/BartlettWindow.html