FIR filter design over a discrete powers-of-two coefficient space

FIR digital filters with discrete coefficient values selected from the powers-of-two coefficient space are designed using the methods of integer programming. The frequency responses obtained are shown to be superior to those obtained by simply rounding the coefficients. Both the weighted minimax and...

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Bibliographic Details
Published in:IEEE transactions on acoustics, speech, and signal processing speech, and signal processing, 1983-06, Vol.31 (3), p.583-591
Main Authors: Yong Lim, Parker, S.
Format: Article
Language:English
Subjects:
Design optimization
Digital filters
Finite impulse response filter
Frequency
Least squares methods
Linear programming
Minimax techniques
Nonlinear filters
Packaging
Quadratic programming
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Summary:FIR digital filters with discrete coefficient values selected from the powers-of-two coefficient space are designed using the methods of integer programming. The frequency responses obtained are shown to be superior to those obtained by simply rounding the coefficients. Both the weighted minimax and the weighted least square error criteria are considered. Using a weighted least square error criterion, it is shown that it is possible to predict the improvement that can be expected when integer quadratic programming is used instead of simple coefficient rounding.
ISSN:0096-3518
DOI:10.1109/TASSP.1983.1164085