Implementing unstable filters via input signal reversal-a state variable perspective

Author

Yeung, Kai S. ; Chen, Kan-Lin ; Kwan, C.M.

Author_Institution

Dept. of Electr. Eng., Texas Univ., Arlington, TX, USA

Volume

45

Issue

1

fYear

1998

fDate

1/1/1998 12:00:00 AM

Firstpage

101

Lastpage

104

Abstract

Consider the response of an unstable LTI filter to an input over a time interval [0, T]. The total response consists of the signal response and the natural response of the filter. The latter grows exponentially so that an unstable filter is not usable. The authors show that by holding the final value of the filter fixed to a finite value (say, zero), the natural response can be forced to be negligible over some initial part of the time interval [0, T] so that the filter can be used. A means of implementing this idea is to reverse the input signal across the interval [0, T]. The purpose of this work is to present a state-variable perspective of this technique. An example is shown to implement a filter with no phase shifts

Keywords

circuit stability; filtering theory; state-space methods; LTI filter; fixed finite value; input signal reversal; linear time-invariant filter; natural response; phase shifts elimination; signal response; state-variable perspective; total response; unstable filter implementation; CMOS digital integrated circuits; CMOS technology; Digital circuits; Eigenvalues and eigenfunctions; Inverters; Phase locked loops; Power harmonic filters; Stability; Transient response; Very large scale integration;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.660769

Filename

660769