Analytical two-dimensional IIR notch filter design using outer product expansion

Author

Pei, Soo-Chang ; Lu, Wu-Sheng ; Tseng, Chien-Cheng

Author_Institution

Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan

Volume

44

Issue

9

fYear

1997

fDate

9/1/1997 12:00:00 AM

Firstpage

765

Lastpage

768

Abstract

This work is concerned with the two-dimensional (2-D) digital notch filter design problem. First, the outer product expansion is used to reduce the 2-D notch filter design problem to two pairs of one-dimensional (1-D) filter design problems. Then, we develop a simple algebraic method for the design of two pairs of 1-D IIR filters. This approach not only has closed form transfer function but also satisfies bounded input/output (BIBO) stability condition. Finally, one example is included to illustrate the proposed design method, and the 2-D IIR notch filter is applied to eliminate the sinusoidal interference superimposed on an image

Keywords

IIR filters; filtering theory; image processing; input-output stability; interference suppression; notch filters; transfer functions; two-dimensional digital filters; 1D filter design problems; 2D IIR notch filter design; BIBO stability condition; algebraic method; bounded input/output stability; closed form transfer function; outer product expansion; sinusoidal interference; two-dimensional IIR notch filter; Design methodology; Finite impulse response filter; Frequency response; IIR filters; Interference elimination; Matrix decomposition; Product design; Stability; Transfer functions; Two dimensional displays;

fLanguage

English

Journal_Title

Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7130

Type

jour

DOI

10.1109/82.625016

Filename

625016