Generalized half-band maximally flat FIR filters

Author

Samadi, Saed ; Nishihara, Akinori ; Iwakura, Hiroshi

Author_Institution

Univ. of Electro-Commun., Tokyo, Japan

Volume

3

fYear

1999

fDate

36342

Firstpage

279

Abstract

The existence of nonsymmetric generalized half-band lowpass and highpass FIR filters with maximally flat magnitude and group delay characteristics is proved. Like their linear-phase counterparts, approximately half of the impulse response coefficients of these generalized half-band filters are exactly zero. The magnitude response of the filters is not a monotone function in general. However, the filters can be designed to yield improved magnitude response characteristics compared to the linear-phase maximally flat filters. A closed-form formula for the transfer function of the filters is also derived using Bernstein polynomials. The filters may find applications in multirate and wavelet signal processing

Keywords

FIR filters; delays; filtering theory; frequency response; high-pass filters; low-pass filters; polynomials; signal processing; transfer functions; transient response; Bernstein polynomials; closed-form formula; generalized half-band FIR filters; group delay characteristics; highpass FIR filters; impulse response coefficients; lowpass FIR filters; magnitude response characteristics; maximally flat FIR filters; multirate signal processing; transfer function; wavelet signal processing; Band pass filters; Delay; Finite impulse response filter; Frequency response; Linear approximation; Linearity; Passband; Polynomials; Signal processing; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1999. ISCAS '99. Proceedings of the 1999 IEEE International Symposium on

Conference_Location

Orlando, FL

Print_ISBN

0-7803-5471-0

Type

conf

DOI

10.1109/ISCAS.1999.778839

Filename

778839