Reference networks for simultaneous realization of complex IIR digital filters

Author

Okabayashi, Kazuhiro ; Takahashi, Shin-Ichi

Author_Institution

Dept. of Electr. Eng., Keio Univ., Yokohama, Japan

Volume

1

fYear

1997

fDate

20-22 Aug 1997

Firstpage

165

Abstract

The complex coefficients complementary IIR transfer function pairs (G_c(zˆ) and H_c(zˆ)) can be implemented by means of a single hypercomplex coefficients all-pass filter. In this paper, the construction method of transfer function with hypercomplex coefficients is proposed by extending the complex coefficients wave digital filters (CWDF) to the hypercomplex coefficients wave digital filters (HWDF). Introducing two types of theoretical imaginary resistance (jr and iR), we can construct analog lossless networks for the HWDF. The desired transfer function is obtained by converting the analog network to the HWDF. This construction method has low passband sensitivity

Keywords

IIR filters; all-pass filters; reference circuits; transfer functions; wave digital filters; IIR digital filters; all-pass filter; analog lossless networks; complementary IIR transfer function pairs; complex coefficients; digital signal processing; hypercomplex coefficients; low passband sensitivity; reference networks; simultaneous realization; theoretical imaginary resistance; transfer function; wave digital filters; Artificial intelligence; Circuit simulation; Digital filters; Digital signal processing; Electronic mail; IIR filters; Low pass filters; Passband; Transfer functions; Zirconium;

fLanguage

English

Publisher

ieee

Conference_Titel

Communications, Computers and Signal Processing, 1997. 10 Years PACRIM 1987-1997 - Networking the Pacific Rim. 1997 IEEE Pacific Rim Conference on

Conference_Location

Victoria, BC

Print_ISBN

0-7803-3905-3

Type

conf

DOI

10.1109/PACRIM.1997.619927

Filename

619927