Summary

the 2014 International Symposium on Nonlinear Theory and its Applications

2014

Session Number:D1L-B

Session:

Number:D1L-B3

Designing IIR Filters with Variable Stopband Using Necessary and Sufficient Stability Criterion

Toma Miyata,  Naoyuki Aikawa,  

pp.668-671

Publication Date:2014/9/14

Online ISSN:2188-5079

DOI:10.34385/proc.46.D1L-B3

PDF download (175.3KB)

Summary:
In this paper, we propose a design method for variable IIR digital filters with changeable multifactors in the stopband using necessary and sufficient stability criterion. The variable IIR filter has a piecewise high attenuation in the stopband, and the filter varies stopband edge frequency, and both the frequency and its magnitude in the piecewise high attenuation. Stability criterion based on the system matrix as necessary and sufficient condition is used to guarantee the filter stability. Then, the proposed method has a potential to realize a higher stopband attenuation than one obtained by the conventional method using positive realness condition to guarantee the filter stability. Finally, we demonstrate effectiveness of the proposed method by design examples.