Lyapunov Stability Analysis of Fixed-Point Digital Filters: A Constructive Approach

Author

Kelvin T. Erickson, Missouri University of Science and TechnologyFollow
Anthony N. Michel

Abstract

We demonstrate the applicability of the constructive stability algorithm of Brayton and Tong to the stability analysis of fixed-point digital filters. We consider two coupled form filter structures. We compare our results with existing ones which deal with the stability of fixed-point coupled form digital filters. Several of the present results are new while one of them is an improvement over existing results. It is emphasized that whereas the existing results are obtained by several diverse methods, the present results are determined by one unified approach.

Recommended Citation

K. T. Erickson and A. N. Michel, "Lyapunov Stability Analysis of Fixed-Point Digital Filters: A Constructive Approach," Proceedings of the IEEE International Symposium on Circuits and Systems (1984, Montreal, Canada), vol. 2, pp. 589 - 592, Institute of Electrical and Electronics Engineers (IEEE), May 1984.

Meeting Name

IEEE International Symposium on Circuits and Systems (1984: May 7-10, Montreal, Canada)

Department(s)

Electrical and Computer Engineering

Keywords and Phrases

System Stability -- Lyapunov Methods; Computer Generated Lyapunov Functions; Constructive Stability Algorithms; Coupled Form Digital Filters; Fixed-Point Digital Filters; Unified Approach; Electric Filters, Digital

International Standard Serial Number (ISSN)

0271-4310

Document Type

Article - Conference proceedings

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1984 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.

Publication Date

01 May 1984