Two's complement quantization in orthogonal biquad digital filters

Tamal Bose, M. Q. Chen, David A. Trautman

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

A special class of complex biquad digital filters called orthogonal filters are investigated for stability under two's complement quantization. A sufficient condition is derived for the asymptotic stability of the nonlinear filter. Bounds on the possible limit cycles are also obtained. Using these bounds, any given filter can be tested for stability. The stability triangle is then scanned using a dense grid, and each point on the grid is tested for stability/limit cycles. By this method, the stability region given by the sufficient condition is extended. Regions within the linear stability triangle where various types of limit cycles are possible are also identified.

Original languageEnglish (US)
Pages (from-to)601-614
Number of pages14
JournalCircuits, Systems, and Signal Processing
Volume13
Issue number5
DOIs
StatePublished - Sep 1994
Externally publishedYes

Fingerprint

Digital Filter
Digital filters
Quantization
Complement
Limit Cycle
Triangle
Filter
Grid
Nonlinear Filters
Stability Region
Sufficient Conditions
Linear Stability
Asymptotic Stability
Asymptotic stability

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Signal Processing

Cite this

Two's complement quantization in orthogonal biquad digital filters. / Bose, Tamal; Chen, M. Q.; Trautman, David A.

In: Circuits, Systems, and Signal Processing, Vol. 13, No. 5, 09.1994, p. 601-614.

Research output: Contribution to journalArticle

Bose, Tamal ; Chen, M. Q. ; Trautman, David A. / Two's complement quantization in orthogonal biquad digital filters. In: Circuits, Systems, and Signal Processing. 1994 ; Vol. 13, No. 5. pp. 601-614.
@article{ba1634779d3c4e999ed14f4842db9533,
title = "Two's complement quantization in orthogonal biquad digital filters",
abstract = "A special class of complex biquad digital filters called orthogonal filters are investigated for stability under two's complement quantization. A sufficient condition is derived for the asymptotic stability of the nonlinear filter. Bounds on the possible limit cycles are also obtained. Using these bounds, any given filter can be tested for stability. The stability triangle is then scanned using a dense grid, and each point on the grid is tested for stability/limit cycles. By this method, the stability region given by the sufficient condition is extended. Regions within the linear stability triangle where various types of limit cycles are possible are also identified.",
author = "Tamal Bose and Chen, {M. Q.} and Trautman, {David A.}",
year = "1994",
month = "9",
doi = "10.1007/BF02523186",
language = "English (US)",
volume = "13",
pages = "601--614",
journal = "Circuits, Systems, and Signal Processing",
issn = "0278-081X",
publisher = "Birkhause Boston",
number = "5",

}

TY - JOUR

T1 - Two's complement quantization in orthogonal biquad digital filters

AU - Bose, Tamal

AU - Chen, M. Q.

AU - Trautman, David A.

PY - 1994/9

Y1 - 1994/9

N2 - A special class of complex biquad digital filters called orthogonal filters are investigated for stability under two's complement quantization. A sufficient condition is derived for the asymptotic stability of the nonlinear filter. Bounds on the possible limit cycles are also obtained. Using these bounds, any given filter can be tested for stability. The stability triangle is then scanned using a dense grid, and each point on the grid is tested for stability/limit cycles. By this method, the stability region given by the sufficient condition is extended. Regions within the linear stability triangle where various types of limit cycles are possible are also identified.

AB - A special class of complex biquad digital filters called orthogonal filters are investigated for stability under two's complement quantization. A sufficient condition is derived for the asymptotic stability of the nonlinear filter. Bounds on the possible limit cycles are also obtained. Using these bounds, any given filter can be tested for stability. The stability triangle is then scanned using a dense grid, and each point on the grid is tested for stability/limit cycles. By this method, the stability region given by the sufficient condition is extended. Regions within the linear stability triangle where various types of limit cycles are possible are also identified.

UR - http://www.scopus.com/inward/record.url?scp=51249166874&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=51249166874&partnerID=8YFLogxK

U2 - 10.1007/BF02523186

DO - 10.1007/BF02523186

M3 - Article

AN - SCOPUS:51249166874

VL - 13

SP - 601

EP - 614

JO - Circuits, Systems, and Signal Processing

JF - Circuits, Systems, and Signal Processing

SN - 0278-081X

IS - 5

ER -