This paper describes the upper bound of the secondorder modes of linear state-space systems. With the help of the bounded-real Riccati equations and bilinear transformation, it is proved that the second-order modes of continuous-time or discrete-time systems are all bounded by the system gain. As an application of this theory, a new formula for evaluating minimum attainable value of coefficient sensitivity of digital filters is presented. This new formula shows the excellent performance of digital filters with minimum coefficient sensitivity structure.
|Number of pages||4|
|Journal||Proceedings - IEEE International Symposium on Circuits and Systems|
|Publication status||Published - 2005 Dec 1|
|Event||IEEE International Symposium on Circuits and Systems 2005, ISCAS 2005 - Kobe, Japan|
Duration: 2005 May 23 → 2005 May 26
ASJC Scopus subject areas
- Electrical and Electronic Engineering