Stabilization of 2-D recursive digital filters by the DHT method

Author

Damera-Venkata, Niranjan ; Venkataram, Mahalakshmi ; Hrishikesh, M.S. ; Reddy, P.S.

Author_Institution

Dept. of Electr. & Comput. Eng., Texas Univ., Austin, TX, USA

Volume

46

Issue

1

fYear

1999

fDate

1/1/1999 12:00:00 AM

Firstpage

85

Lastpage

88

Abstract

In this paper, we discuss the discrete Hilbert transform (DHT) method of stabilizing unstable two-dimensional (2-D) recursive digital filters originally proposed by Read and Treitel (se IEEE Trans. Geo. Sci. Electron., vol. GE-II, p. 153-60, 207, July 1973). We show that even in the one-dimensional case, the DHT method may yield an unstable polynomial when the given unstable polynomial has zeros on the unit circle. This is the case in the example presented by Read and Treitel, where the given 2-D polynomial has zeros on the unit bicircle. We show that the DHT method cannot guarantee stability if the unstable 2-D polynomial has zeros on the unit bicircle

Keywords

circuit stability; discrete Hartley transforms; filtering theory; numerical stability; poles and zeros; polynomials; recursive filters; two-dimensional digital filters; 2D polynomial; 2D recursive digital filters; DHT method; discrete Hilbert transform; stabilization; unstable polynomial; Adaptive algorithm; Adaptive signal processing; Circuit noise; DH-HEMTs; Digital filters; Parameter estimation; Polynomials; Signal processing; Signal processing algorithms; Two dimensional displays;

fLanguage

English

Journal_Title

Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7130

Type

jour

DOI

10.1109/82.749104

Filename

749104