Design and characterization of optimal FIR filters with arbitrary phase

Author

Alkhairy, Ashraf S. ; Christian, Kevin G. ; Lim, Jae S.

Author_Institution

MIT, Cambridge, MA, USA

Volume

41

Issue

2

fYear

1993

fDate

2/1/1993 12:00:00 AM

Firstpage

559

Lastpage

572

Abstract

An algorithm for designing a Chebyshev optimal FIR filter that approximates an arbitrary complex-valued frequency response is presented. This algorithm computes the optimal filter by solving the dual to the filter design problem. It is guaranteed to converge theoretically and requires O(N²) computations per iteration for a filter of length N. For the first time, properties of the optimal filter are derived, and the case where the desired filter has arbitrary constant group delay is studied in detail

Keywords

computational complexity; convergence of numerical methods; digital filters; filtering and prediction theory; Chebyshev optimal FIR filter; O(N²) computations per iteration; arbitrary complex-valued frequency; arbitrary constant group delay; convergence; filter design problem dual; filter length; optimal filter properties; Algorithm design and analysis; Chebyshev approximation; Delay effects; Equalizers; Finite impulse response filter; Frequency response; Nonlinear filters; Passband; Signal design; Signal processing algorithms;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.193198

Filename

193198