Minimum-Phase FIR Filter Design Using Real Cepstrum

Author

Pei, Soo-Chang ; Lin, Huei-Shan

Author_Institution

Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei

Volume

53

Issue

10

fYear

2006

Firstpage

1113

Lastpage

1117

Abstract

The real cepstrum is used to design an arbitrary length minimum-phase finite-impulse response filter from a mixed-phase prototype. There is no need to start with the odd-length equiripple linear-phase filter first. Neither the phase-unwrapping nor root-finding procedure is needed. Only two fast Fourier transforms and a recursive procedure are required to find the filter´s impulse response from its real cepstrum. The resulting filter´s magnitude response is exactly the same as the original one even when the filter is of very high order

Keywords

FIR filters; cepstral analysis; fast Fourier transforms; fast Fourier transforms; minimum phase FIR filter design; mixed phase prototype; phase unwrapping; real cepstrum; recursive procedure; root finding; Cepstrum; Councils; Data communication; Delay; Fast Fourier transforms; Finite impulse response filter; Flexible printed circuits; Iterative algorithms; Polynomials; Prototypes; Minimum-phase finite-impulse response (FIR) filter; phase unwrapping; real cepstrum; root finding;

fLanguage

English

Journal_Title

Circuits and Systems II: Express Briefs, IEEE Transactions on

Publisher

ieee

ISSN

1549-7747

Type

jour

DOI

10.1109/TCSII.2006.882193

Filename

1715588