LP Standard Form

Now gather all of the constraints to form an LP problem:

where the optimization variables are .

• This should produce a window that is optimal in the Chebyshev sense over the chosen frequency samples, as shown in Fig.3.31.

• If the chosen frequency samples include all the extremal frequencies (frequencies of maximum error in the DTFT of the window), then the unique Chebyshev window for the specified main-lobe width must be obtained.

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Subsections

• Normal Chebyshev Window

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Previous: Sidelobe Specification
Next: Normal Chebyshev Window

Order a Hardcopy of Spectral Audio Signal Processing

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About the Author: Julius Orion Smith III
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.