2-D lattice structure and explicit formulas for the design of 2-D digital fan filters

Author

Qunshan, GU ; Xiyu, Du

Author_Institution

Inst. of Inf. Sci., Northern Jiaotong Univ., Beijing, China

fYear

1990

fDate

1-3 May 1990

Firstpage

3019

Abstract

The relationship between the frequency characteristics of 1-D low-pass filters and 2-D fan filters are introduced and used to develop explicit formulas for the design of fan filters. The method is very simple and efficient. For an arbitrary fan filter with given pass-band ripple, stop-band loss, and transition-band width, the filter´s coefficients can be easily obtained with a pocket calculator. The design of both Butterworth and elliptic function filters is discussed, and design examples are given. Very few multipliers are required to obtain a fan filter with excellent frequency behavior

Keywords

band-pass filters; multiplying circuits; two-dimensional digital filters; 2D digital fan filters; 2D lattice structure; Butterworth filters; elliptic function filters; filter coefficients; frequency behavior; frequency characteristics; low-pass filters; multipliers; pass-band ripple; pocket calculator; stop-band loss; transition-band width; Digital filters; Digital signal processing; Equations; Frequency; Information filtering; Information filters; Information science; Lattices; Low pass filters; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1990., IEEE International Symposium on

Conference_Location

New Orleans, LA

Type

conf

DOI

10.1109/ISCAS.1990.112647

Filename

112647