Two-dimensional delta-operator formulated discrete-time systems: state-space realization and its coefficient sensitivity properties

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4 Scopus citations


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 (US)
Pages (from-to)3445-3449
Number of pages5
JournalIEEE Transactions on Signal Processing
Issue number12
StatePublished - 1998


  • 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

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