Gramian-preserving frequency transformation for linear discrete-time systems using normalized lattice structure

Shunsuke Koshita, Satoru Tanaka, Masahide Abe, Masayuki Kawamata

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

This paper presents a new algorithm for realization of Gramian-preserving frequency transformation for linear discrete-time systems. In the proposed algorithm, we construct allpass systems for frequency transformation as the cascaded normalized lattice structure. It is shown that the frequency transformation based on this algorithm not only leaves the controllability/ observability Gramians invariant under the change of magnitude responses, but also significantly reduces nonzero entries of the coefficient matrices of transformed systems. This property will be very effective in practical applications such as implementation of high-accuracy multiband state-space digital filters.

Original languageEnglish
Title of host publication2008 IEEE International Symposium on Circuits and Systems, ISCAS 2008
Pages1124-1127
Number of pages4
DOIs
Publication statusPublished - 2008 Sep 19
Event2008 IEEE International Symposium on Circuits and Systems, ISCAS 2008 - Seattle, WA, United States
Duration: 2008 May 182008 May 21

Publication series

NameProceedings - IEEE International Symposium on Circuits and Systems
ISSN (Print)0271-4310

Other

Other2008 IEEE International Symposium on Circuits and Systems, ISCAS 2008
CountryUnited States
CitySeattle, WA
Period08/5/1808/5/21

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Fingerprint Dive into the research topics of 'Gramian-preserving frequency transformation for linear discrete-time systems using normalized lattice structure'. Together they form a unique fingerprint.

  • Cite this

    Koshita, S., Tanaka, S., Abe, M., & Kawamata, M. (2008). Gramian-preserving frequency transformation for linear discrete-time systems using normalized lattice structure. In 2008 IEEE International Symposium on Circuits and Systems, ISCAS 2008 (pp. 1124-1127). [4541620] (Proceedings - IEEE International Symposium on Circuits and Systems). https://doi.org/10.1109/ISCAS.2008.4541620