Sign in
Search Online Books
Free Online Books
Chapters
See Also
Spectral Audio Signal Processing
Spectrum Analysis Windows
Dolph-Chebyshev Window
Dolph-Chebyshev Window Theory
Dolph-Chebyshev Window Main-Lobe Width
Search Spectral Audio Signal Processing
Would you like to be notified by email when Julius Orion Smith III publishes a new entry into his blog?
Dolph-Chebyshev Window Main-Lobe Width
Given the window length 
and ripple magnitude 
, the main-lobe
width 
may be computed as follows [146]:
![\begin{eqnarray*}
x_0 &=& \cosh\left[\frac{\cosh^{-1}\left(\frac{1}{r}\right)}{M-1}\right]\\
\omega_c &=& 2\cos^{-1}\left(\frac{1}{x_0}\right)
\end{eqnarray*}](http://www.dsprelated.com/josimages_new/sasp/img507.png)
This is the smallest main-lobe width possible for the given window length and side-lobe spec.
Previous: Dolph-Chebyshev Window Definition
Next: Dolph-Chebyshev Window Length Computation
Order a Hardcopy of Spectral Audio Signal Processing
Julius Smith's background is in electrical engineering (BS Rice 1975, PhD Stanford 1983). He is presently Professor of Music and Associate Professor (by courtesy) of Electrical Engineering at Stanford's Center for Computer Research in Music and Acoustics (CCRMA), teaching courses and pursuing research related to signal processing applied to music and audio systems. See http://ccrma.stanford.edu/~jos/ for details.
Comments
No comments yet for this page
Add a Comment
You need to login before you can post a comment (best way to prevent spam). ( Not a member? )