A Note on the Induced \({\varvec{l}}_\infty \) Stability of Fixed-Point Digital Filters Without Overflow Oscillations and Instability Due to Finite Wordlength Effects
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- 作者：Priyanka Kokil ; Swapnil Sadashiv Shinde
- 关键词：External interference ; \({\varvec{l}}_\infty \) ; criterion ; Finite wordlength effect ; Linear matrix inequality (LMI) ; Digital filter
- 刊名：Circuits, Systems, and Signal Processing
- 出版年：2017
- 出版时间：March 2017
- 年：2017
- 卷：36
- 期：3
- 页码：1288-1300
- 全文大小：
- 刊物类别：Engineering
- 刊物主题：Circuits and Systems; Electrical Engineering; Signal,Image and Speech Processing; Electronics and Microelectronics, Instrumentation;
- 出版者：Springer US
- ISSN：1531-5878
- 卷排序：36
文摘
A recently reported criterion due to Ahn and Lee (Adv Differ Equ 51:1–7, 2012) for the induced \({\varvec{l}}_\infty \) stability of fixed-point digital filters without overflow oscillations and instability due to finite wordlength effects is reviewed. This article points out that there is a technical error in the main result and at the same time presents an approach to correcting the main result. Moreover, a relaxed version of the criterion is made available. Illustrative examples are given to demonstrate the effectiveness of the proposed result.