On the realization of 2D lattice-ladder discrete filters

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In this paper, the one-dimensional Gray-Markel lattice-ladder discrete filter structure is extended to two dimensions (2D). The proposed 2D circuit implementation has minimal number of unit delays. Based on this circuit implementation the corresponding 2D state space realization is derived. The matrices A, b, c′ and the scalar d of the 2D state space model are presented in generalized closed form, having minimal dimension.

Original languageEnglish
Pages (from-to)1079-1083
Number of pages5
JournalJournal of Circuits, Systems and Computers
Issue number5
StatePublished - Oct 2004


  • 2D filters
  • 2D systems
  • Lattice-ladder filters
  • Realization
  • State space


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