Generalized one-multiplier lattice discrete 2-D filters

Minimal circuit and state-space realization

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16 Citations (Scopus)

Abstract

A circuit realization is presented for generalized one-multiplier lattice discrete two-dimensional (2-D) filters. The proposed structure has a minimum number of delay elements and multipliers. Based on this circuit realization, the corresponding state-space realization-representation is derived. The dimension of the 2-D state-space vector is minimal and the corresponding transfer function is characterized by the all-pass property.

Original languageEnglish
Pages (from-to)215-218
Number of pages4
JournalIEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
Volume48
Issue number2
DOIs
StatePublished - 1 Feb 2001

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Networks (circuits)
Vector spaces
Transfer functions

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title = "Generalized one-multiplier lattice discrete 2-D filters: Minimal circuit and state-space realization",
abstract = "A circuit realization is presented for generalized one-multiplier lattice discrete two-dimensional (2-D) filters. The proposed structure has a minimum number of delay elements and multipliers. Based on this circuit realization, the corresponding state-space realization-representation is derived. The dimension of the 2-D state-space vector is minimal and the corresponding transfer function is characterized by the all-pass property.",
author = "George Antoniou",
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AB - A circuit realization is presented for generalized one-multiplier lattice discrete two-dimensional (2-D) filters. The proposed structure has a minimum number of delay elements and multipliers. Based on this circuit realization, the corresponding state-space realization-representation is derived. The dimension of the 2-D state-space vector is minimal and the corresponding transfer function is characterized by the all-pass property.

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