Title :
Design of stable two-dimensional IIR notch filter using root map
Author :
Soo-Chang Pei ; Chien-Cheng Tseng
Author_Institution :
Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan
Abstract :
In this paper, the two-dimensional (2-D) IIR notch filter design problem is presented. First, the linear fractional transformation (LFT) in complex analysis is used to construct the desired root map of 2-D polynomial. Then, the numerator and denominator of transfer function of 2-D IIR notch filter can be obtained from the LFT used in the construction of root map. This design not only has closed-form transfer function but also satisfies the bounded input/bounded output (BIBO) stability condition. Finally, design example and image application are demonstrated to show the effectiveness of the proposed approach.
Keywords :
IIR filters; polynomials; stability; transfer functions; 2-D polynomial; BIBO stability condition; LFT; bounded input/bounded output stability condition; closed-form transfer function; complex analysis; infinite impulse response filter; linear fractional transformation; root map; two-dimensional IIR notch filter; Design methodology; Finite impulse response filters; IIR filters; Interference; Polynomials; Transfer functions;
Conference_Titel :
Signal Processing Conference, 2010 18th European
Conference_Location :
Aalborg
