NDLI: Optimal all-pole filter design based on discrete prolate spheroidal sequences

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Optimal all-pole filter design based on discrete prolate spheroidal sequences

Content Provider	IEEE Xplore Digital Library
Author	Durrani, T. Chapman, R.
Copyright Year	1974
Abstract	A new constrained optimization method for all-pole digital filter design is presented. The design philosophy employed minimizes a function of the area between the ideal low-pass filter response in the passband and the actual filter response subject to a quadratic constraint which ensures filter realizability. It is shown that unique solutions are obtained which are related to eigenvectors of a Toeplitz matrix whose elements form a scaled discrete prolate spheroidal wave sequence (DPSS). It is therefore possible to exploit the properties of DPSS and discrete prolate spheroidal wave functions (DPSWF's) to reduce the filter design effort. The ratio of passband energy to total energy over the entire filter bandwidth is optimal for these designs.
Starting Page	716
Ending Page	721
Page Count	6
File Size	672500
File Format	PDF
ISSN	00963518
Volume Number	32
Issue Number	4
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1984-08-01
Publisher Place	U.S.A.
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Passband Low pass filters Digital filters IIR filters Design methodology Optimization methods Frequency Lagrangian functions Eigenvalues and eigenfunctions Wave functions
Content Type	Text
Resource Type	Article
Subject	Signal Processing

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