An efficient approach for the synthesis of 2-D recursive fan filters using 1-D prototypes

Author

Zhu, Wei-Ping ; Nakamura, Shogo

Author_Institution

Dept. of Telecommun. Eng., Nanjing Univ. of Posts & Telecommun., Jiangsu, China

Volume

44

Issue

4

fYear

1996

fDate

4/1/1996 12:00:00 AM

Firstpage

979

Lastpage

983

Abstract

An elliptic approximation-based design approach is proposed for obtaining 2-D recursive fan filters. The 1-D elliptic filter is reduced to a cascade-parallel combination of all-pass sections and is then used as a prototype for fan filter synthesis, resulting in final realization of 2-D transfer functions using allpass filters. It is shown that the synthesis procedure not only gives a filter that has far fewer coefficients but also enjoys a very low computational complexity

Keywords

all-pass filters; cascade networks; elliptic filters; filtering theory; recursive filters; transfer functions; two-dimensional digital filters; 1D elliptic filter; 1D prototypes; 2D fan filter synthesis; 2D recursive fan filters; 2D transfer functions; allpass filters; cascade-parallel all-pass sections; computational complexity; filter coefficients; Computational complexity; Data processing; Digital filters; Geology; Passband; Process design; Prototypes; Seismology; Stability; Transfer functions;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.492549

Filename

492549