Stability of a shift-variant 2-D state-space digital filter

被引：1

作者：

Mabey, GW ^{[1
]}

Bose, T ^{[1
]}

Chen, M ^{[1
]}

机构：

[1] Utah State Univ, Ctr High Speed Informat Proc, Dept Elect & Comp Engn, Logan, UT 84322 USA

来源：

2005 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS (ISCAS), VOLS 1-6, CONFERENCE PROCEEDINGS | 2005年

关键词：

D O I：

10.1109/ISCAS.2005.1464648

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

Sufficient conditions for stability of time-varying 1-D systems are already well established. This work treats the 2-D case in an approach that parallels that of the 1-D, yet at the same time reveals the heightened complexity of the extension. When "double exponential stability" is guaranteed for a certain set of homogeneous equations, the 2-D system is BIBO stable. The result applies to a generalized form of the Givone-Roesser state-space equations.

引用

页码：556 / 559

页数：4

共 50 条

[31] On 2-D periodically shift variant digital filters [J].

Joo, KS ;

Rajan, S ;

Bose, T .

38TH MIDWEST SYMPOSIUM ON CIRCUITS AND SYSTEMS, PROCEEDINGS, VOLS 1 AND 2, 1996, :592-595

[32] An improved criterion for the global asymptotic stability of 2-D state-space digital filters with finite wordlength nonlinearities [J].

Agarwal, Neha ;

Kar, Haranath .

SIGNAL PROCESSING, 2014, 105 :198-206

[33] A new sufficient condition for the global asymptotic stability of 2-D state-space digital filters with saturation arithmetic [J].

Kar, Haranath .

SIGNAL PROCESSING, 2008, 88 (01) :86-98

[34] Stability of 2-D periodically shift variant filters [J].

Thamvichai, R ;

Bose, T .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2002, 49 (01) :61-64

[35] Stability of shift-variant difference equations with application to adaptive digital filters [J].

Yost, SA ;

Bauer, PH .

ISCAS 96: 1996 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS - CIRCUITS AND SYSTEMS CONNECTING THE WORLD, VOL 2, 1996, :17-20

[36] SYNTHESIS OF 2-D STATE-SPACE FIXED-POINT DIGITAL-FILTER STRUCTURES WITH MINIMUM ROUNDOFF NOISE [J].

LU, WS ;

ANTONIOU, A .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1986, 33 (10) :965-973

[37] STATE-SPACE REALIZATION AND INVERSION OF 2-D SYSTEMS [J].

EISING, R .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1980, 27 (07) :612-619

[38] On the realization of 2-D orthogonal state-space systems [J].

Wirski, Robert T. .

SIGNAL PROCESSING, 2008, 88 (11) :2747-2753

[39] ON THE SYNTHESIS OF 2-D STATE-SPACE DIGITAL-FILTERS WITH MINIMUM ROUNDOFF NOISE [J].

LU, WS ;

ANTONIOU, A .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1990, 37 (11) :1424-1425

[40] A UNIFIED STUDY ON THE ROUNDOFF NOISE IN 2-D STATE-SPACE DIGITAL-FILTERS [J].

LIN, T ;

KAWAMATA, M ;

HIGUCHI, T .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1986, 33 (07) :724-730

← 1 2 3 4 5 →