Abstract
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.
| Original language | English |
|---|---|
| Article number | 1464751 |
| Pages (from-to) | 968-971 |
| Number of pages | 4 |
| Journal | Proceedings - IEEE International Symposium on Circuits and Systems |
| DOIs | |
| 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
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Koshita, S., Abe, M., & Kawamata, M. (2005). The upper bound of the second-order modes of linear state-space systems. Proceedings - IEEE International Symposium on Circuits and Systems, 968-971. [1464751]. https://doi.org/10.1109/ISCAS.2005.1464751