Design of optimal minimum-phase digital FIR filters using discrete Hilbert transforms

Author

Damera-Venkata, Niranjan ; Evans, Brian L. ; McCaslin, Shawn R.

Author_Institution

Dept. of Electr. & Comput. Eng., Texas Univ., Austin, TX, USA

Volume

48

Issue

5

fYear

2000

fDate

5/1/2000 12:00:00 AM

Firstpage

1491

Lastpage

1495

Abstract

We present a robust noniterative algorithm to design optimal minimum-phase digital FIR filters with real or complex coefficients. We derive: (1) the discrete Hilbert transform (DHT) of the complex cepstrum of a causal complex minimum-phase sequence and (2) the minimum fast Fourier transform length for computing the DHT to achieve a desired coefficient accuracy

Keywords

FIR filters; Hilbert transforms; cepstral analysis; circuit optimisation; digital filters; discrete transforms; fast Fourier transforms; network synthesis; sequences; DHT; causal complex minimum-phase sequence; coefficient accuracy; complex cepstrum; complex coefficients; discrete Hilbert transforms; minimum fast Fourier transform length; optimal minimum-phase digital FIR filters design; real coefficients; robust noniterative algorithm; Algorithm design and analysis; Cepstrum; Delay; Digital filters; Discrete Fourier transforms; Discrete transforms; Fast Fourier transforms; Finite impulse response filter; Polynomials; Signal processing algorithms;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.840000

Filename

840000