Explicit formula for generalized half-band maximally flat diamond-shaped filters

Author

Samadi, Sued ; Nishihara, Akinori

Author_Institution

Univ. of Electro-Commun., Tokyo, Japan

Volume

3

fYear

2000

fDate

2000

Firstpage

355

Abstract

An explicit polynomial solution to the functional equation H(z₁, z₂)±H(-z₁, -z₂)-z₁(-D₁)z₂(-D₂) is derived. The solution gives rise to an intriguing class of half-band diamond-shaped FIR digital filters encompassing linear-phase filters as well. The functional equation is solved so that the number of vanishing partial derivatives of the frequency response of H(z₁, z₂) at wl₁=w₂=π are maximized. This results in a maximally flat magnitude response with a flat group delay response in the passband

Keywords

FIR filters; digital filters; filtering theory; frequency response; linear phase filters; polynomials; FIR digital filters; diamond-shaped filters; explicit formula; explicit polynomial solution; flat group delay response; frequency response; functional equation; generalized half-band filters; linear-phase filters; maximally flat filters; maximally flat magnitude response; Band pass filters; Delay; Digital filters; Equations; Finite impulse response filter; Frequency response; Passband; Polynomials; Transfer functions; Two dimensional displays;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2000. Proceedings. ISCAS 2000 Geneva. The 2000 IEEE International Symposium on

Conference_Location

Geneva

Print_ISBN

0-7803-5482-6

Type

conf

DOI

10.1109/ISCAS.2000.856070

Filename

856070