represents a Dirichlet window function of x.


DirichletWindow
represents a Dirichlet window function of x.
Details

- DirichletWindow, also known as the rectangular or boxcar window, is a window function used in signal processing applications where data needs to be processed in short segments.
- DirichletWindow[x] is equal to
.
- DirichletWindow automatically threads over lists.

Examples
open all close allBasic Examples (3)
Scope (4)
Applications (2)
Use a window specification to calculate sample PowerSpectralDensity:
Compare to spectral density calculated without a windowing function:
The Dirichlet window does not change the spectral density:
Compare to the theoretical spectral density of the process:
Properties & Relations (3)
DirichletWindow is equivalent to UnitBox:
Fourier transform of the Dirichlet window:
Power spectrum of the Dirichlet window:
Discrete-time Fourier transform of the discrete Dirichlet window of length 11:
See Also
Related Guides
History
Text
Wolfram Research (2012), DirichletWindow, Wolfram Language function, https://reference.wolfram.com/language/ref/DirichletWindow.html.
CMS
Wolfram Language. 2012. "DirichletWindow." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/DirichletWindow.html.
APA
Wolfram Language. (2012). DirichletWindow. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/DirichletWindow.html
BibTeX
@misc{reference.wolfram_2025_dirichletwindow, author="Wolfram Research", title="{DirichletWindow}", year="2012", howpublished="\url{https://reference.wolfram.com/language/ref/DirichletWindow.html}", note=[Accessed: 15-August-2025]}
BibLaTeX
@online{reference.wolfram_2025_dirichletwindow, organization={Wolfram Research}, title={DirichletWindow}, year={2012}, url={https://reference.wolfram.com/language/ref/DirichletWindow.html}, note=[Accessed: 15-August-2025]}