New results on periodic symbolic sequences of second order digital filters with two’s complement arithmetic

Ling, Wing-Kuen and Tam, Peter Kwong-Shun (2003) New results on periodic symbolic sequences of second order digital filters with two’s complement arithmetic. International Journal of Circuit Theory and Applications, 31 (4). pp. 407-421. ISSN 0098-9886

Documents
letter_chao_filter_periodic.pdf
[img]
[Download]
[img]
Preview
PDF
letter_chao_filter_periodic.pdf - Whole Document

277kB

Official URL: http://dx.doi.org/10.1002/cta.240

Abstract

In this article, the second order digital filter with two’s complement arithmetic in [1] is considered. Necessary conditions for the symbolic sequences to be periodic after a number of iterations are given when the filter parameters are at b=a+1 and b=-a+1. Furthermore, for some particular values of a, even when one of the eigenvalues is outside the unit circle, the system may behave as a linear system after a number of iterations and the state vector may toggle between two states or converge to a fixed point at the steady state. The necessary and sufficient conditions for these phenomena are given in this article.

Item Type:Article
Additional Information:In this article, the second order digital filter with two’s complement arithmetic in [1] is considered. Necessary conditions for the symbolic sequences to be periodic after a number of iterations are given when the filter parameters are at b=a+1 and b=-a+1. Furthermore, for some particular values of a, even when one of the eigenvalues is outside the unit circle, the system may behave as a linear system after a number of iterations and the state vector may toggle between two states or converge to a fixed point at the steady state. The necessary and sufficient conditions for these phenomena are given in this article.
Keywords:second order digital filter, two’s complement arithmetic, symbolic sequences, eigenvalues
Subjects:H Engineering > H310 Dynamics
Divisions:College of Science > School of Engineering
ID Code:3064
Deposited By:INVALID USER
Deposited On:06 Aug 2010 13:04
Last Modified:13 Mar 2013 08:43

Repository Staff Only: item control page