A design method for complementary recursive fan filters

Author

Weiping, Zhu ; Zhenya, He

Author_Institution

Dept. of Radio Eng., Southeast Univ., Nanjing, China

fYear

1990

fDate

1-3 May 1990

Firstpage

2153

Abstract

A very efficient method for designing two-dimensional (2-D) recursive fan filters is presented. The odd-ordered analog elliptical filter is used as a 1-D prototype to synthesize the complementary quadrant fan filters, as well as 90° fan filters, by means of an index transformation. The algorithm results in a great reduction in the required multiplications and in the simplified realization structure composed of all-pass filters as compared with the published design procedures. The design of zero-phase fan filters is also discussed. Only N-1 and 2(N-1) multiplications are needed to implement non-zero- and zero-phase complementary fan filters, respectively, if an Nth-order 1-D prototype elliptical filter is adopted

Keywords

digital filters; network synthesis; 1D; 2D; 90° fan filters; all-pass filters; complementary quadrant fan filters; complementary recursive fan filters; index transformation; low-pass filter; multiplications; odd-ordered analog elliptical filter; zero-phase fan filters; Algorithm design and analysis; Cutoff frequency; Design methodology; Digital filters; Low pass filters; Lubricating oils; Passband; Prototypes; Stability; Testing;

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.1990.112256

Filename

112256