Two-dimensional delta-operator formulated discrete-time systems

state-space realization and its coefficient sensitivity properties

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Delta-operator based implementation of one-dimensional (1D) discrete-time systems has been the focus of considerable research activity because of its superior finite wordlength properties and possibility of addressing both continuous- and discrete-time systems in a unified manner. In this correspondence, we investigate its corresponding two-dimensional (2-1)1 implementation by introducing the deltaoperator based counterpart to the Roesser local state-space model, the corresponding gramians, and the notion of a balanced realization. The computation of the latter and coefficient sensitivity properties of the resulting implementations are also studied.

Original languageEnglish
Pages (from-to)3445-3449
Number of pages5
JournalIEEE Transactions on Signal Processing
Volume46
Issue number12
DOIs
StatePublished - Dec 1 1998

Keywords

  • Digital filters
  • Finite wordlength effects
  • Fixed-point arithmetic
  • Floating-point arithmetic
  • Multidimensional digital filters, multidimensional systems, sensitivity, state space methods

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Signal Processing

Cite this

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title = "Two-dimensional delta-operator formulated discrete-time systems: state-space realization and its coefficient sensitivity properties",
abstract = "Delta-operator based implementation of one-dimensional (1D) discrete-time systems has been the focus of considerable research activity because of its superior finite wordlength properties and possibility of addressing both continuous- and discrete-time systems in a unified manner. In this correspondence, we investigate its corresponding two-dimensional (2-1)1 implementation by introducing the deltaoperator based counterpart to the Roesser local state-space model, the corresponding gramians, and the notion of a balanced realization. The computation of the latter and coefficient sensitivity properties of the resulting implementations are also studied.",
keywords = "Digital filters, Finite wordlength effects, Fixed-point arithmetic, Floating-point arithmetic, Multidimensional digital filters, multidimensional systems, sensitivity, state space methods",
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AB - Delta-operator based implementation of one-dimensional (1D) discrete-time systems has been the focus of considerable research activity because of its superior finite wordlength properties and possibility of addressing both continuous- and discrete-time systems in a unified manner. In this correspondence, we investigate its corresponding two-dimensional (2-1)1 implementation by introducing the deltaoperator based counterpart to the Roesser local state-space model, the corresponding gramians, and the notion of a balanced realization. The computation of the latter and coefficient sensitivity properties of the resulting implementations are also studied.

KW - Digital filters

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KW - Fixed-point arithmetic

KW - Floating-point arithmetic

KW - Multidimensional digital filters, multidimensional systems, sensitivity, state space methods

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