A Unified Approach to the Design of Interpolated and Frequency-Response-Masking FIR Filters

A Unified Approach to the Design of Interpolated and Frequency-Response-Masking FIR Filters

We present a unified approach to the design of two well-known classes of computationally efficient digital filters, namely the interpolated and frequency-response-masking (FRM) FIR filters, that are optimized in minimax sense. The highly nonconvex minimax designs of these filters are carried out by...

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Bibliographic Details
Published in:IEEE transactions on circuits and systems. I, Regular papers Regular papers, 2016-12, Vol.63 (12), p.2257-2266
Main Authors: Wu-Sheng Lu, Hinamoto, Takao
Format: Article
Language:eng
Subjects:
Convex functions
Convex-concave procedure
Design methodology
Digital filters
Finite impulse response filters
FIR filters
Frequency-domain analysis
frequency-response-masking FIR filters
interpolated FIR filters
Iterative methods
Linear programming
Masking
Minimax technique
Passband
Transfer functions
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Summary:We present a unified approach to the design of two well-known classes of computationally efficient digital filters, namely the interpolated and frequency-response-masking (FRM) FIR filters, that are optimized in minimax sense. The highly nonconvex minimax designs of these filters are carried out by jointly optimizing the subfilters involved using a convex-concave procedure (CCP) that yields an iterative and converging process where each iteration involves a convex problem of minimizing a linear function subject to convex quadratic constraints. We present an analysis to explain why CCP is well-suited for the design problems at hand. We also show that the CCP-based design framework is flexible to allow extension to the design of FRM filters that simultaneously promotes sparsity of the filter coefficients to reduce implementation complexity. Design examples with comparisons are presented to demonstrate the performance of the proposed design methods.
ISSN:1549-8328
1558-0806