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Vector-channel lattice filters for the delta operator: Complete derivation

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Dynamics and Control

Abstract

The numerical difficulties associated with high sampling rates have been the main motivation for the recent interest in application of delta-operator formulation in adaptive identification and control techniques, as an alternative to the traditional shift operator. In this article, the derivation of the vector-channel lattice algorithm for least-squares parameter estimation of an input/output model based on the delta operator is presented. Since the vector-channel formulation is a generalization of the standard multichannel forms, results presented here apply to the multichannel lattices as a special case. In addition to the basic derivation, algorithms for residual errors and autoregressive coefficients, a simple example, and issues regarding implementation are discussed.

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Authors and Affiliations

  1. Department of Mechanical and Aerospace Engineering, University of California, 92717, Irvine, CA

    Faryar Jabbari

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  1. Faryar Jabbari
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Editor: H. Stalford

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Jabbari, F. Vector-channel lattice filters for the delta operator: Complete derivation. Dynamics and Control 2, 113–129 (1992). https://doi.org/10.1007/BF02169493

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  • DOI: https://doi.org/10.1007/BF02169493

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