Two's complement quantization in periodic digital filters

Ratchaneekorn Thamvichai, Tamal Bose

Research output: Contribution to journalArticle

Abstract

The stability of periodically shift variant (PSV) filters are studied when implemented with two's complement truncation (TCT) quantization. Block form and standard (nonblock) form implementations are considered, and two sufficient conditions are established for stability. As a special case, second-order coupled-form PSV filters are then investigated under TCT quantization. Stability regions are established within the parameter space for block implementations. Examples are given to illustrate the results.

Original languageEnglish (US)
Pages (from-to)1951-1956
Number of pages6
JournalIEEE Transactions on Signal Processing
Volume50
Issue number8
DOIs
StatePublished - Aug 2002
Externally publishedYes

Fingerprint

Digital filters

Keywords

  • Digital filter
  • Periodic filter
  • Quantization
  • Stability
  • Two's complement

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Signal Processing

Cite this

Two's complement quantization in periodic digital filters. / Thamvichai, Ratchaneekorn; Bose, Tamal.

In: IEEE Transactions on Signal Processing, Vol. 50, No. 8, 08.2002, p. 1951-1956.

Research output: Contribution to journalArticle

Thamvichai, Ratchaneekorn ; Bose, Tamal. / Two's complement quantization in periodic digital filters. In: IEEE Transactions on Signal Processing. 2002 ; Vol. 50, No. 8. pp. 1951-1956.
@article{aa222ae496094bce8d4928f4bf1b72a6,
title = "Two's complement quantization in periodic digital filters",
abstract = "The stability of periodically shift variant (PSV) filters are studied when implemented with two's complement truncation (TCT) quantization. Block form and standard (nonblock) form implementations are considered, and two sufficient conditions are established for stability. As a special case, second-order coupled-form PSV filters are then investigated under TCT quantization. Stability regions are established within the parameter space for block implementations. Examples are given to illustrate the results.",
keywords = "Digital filter, Periodic filter, Quantization, Stability, Two's complement",
author = "Ratchaneekorn Thamvichai and Tamal Bose",
year = "2002",
month = "8",
doi = "10.1109/TSP.2002.800408",
language = "English (US)",
volume = "50",
pages = "1951--1956",
journal = "IEEE Transactions on Signal Processing",
issn = "1053-587X",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "8",

}

TY - JOUR

T1 - Two's complement quantization in periodic digital filters

AU - Thamvichai, Ratchaneekorn

AU - Bose, Tamal

PY - 2002/8

Y1 - 2002/8

N2 - The stability of periodically shift variant (PSV) filters are studied when implemented with two's complement truncation (TCT) quantization. Block form and standard (nonblock) form implementations are considered, and two sufficient conditions are established for stability. As a special case, second-order coupled-form PSV filters are then investigated under TCT quantization. Stability regions are established within the parameter space for block implementations. Examples are given to illustrate the results.

AB - The stability of periodically shift variant (PSV) filters are studied when implemented with two's complement truncation (TCT) quantization. Block form and standard (nonblock) form implementations are considered, and two sufficient conditions are established for stability. As a special case, second-order coupled-form PSV filters are then investigated under TCT quantization. Stability regions are established within the parameter space for block implementations. Examples are given to illustrate the results.

KW - Digital filter

KW - Periodic filter

KW - Quantization

KW - Stability

KW - Two's complement

UR - http://www.scopus.com/inward/record.url?scp=0036684740&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036684740&partnerID=8YFLogxK

U2 - 10.1109/TSP.2002.800408

DO - 10.1109/TSP.2002.800408

M3 - Article

VL - 50

SP - 1951

EP - 1956

JO - IEEE Transactions on Signal Processing

JF - IEEE Transactions on Signal Processing

SN - 1053-587X

IS - 8

ER -