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Apparatus and method for modeling relationships between signals

  • US 7,574,333 B2
  • Filed: 02/05/2004
  • Issued: 08/11/2009
  • Est. Priority Date: 02/05/2004
  • Status: Active Grant
First Claim
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1. A method, comprising:

  • electronically receiving a projection associated with a first signal and a second signal, the first and second signals associated with a control system, the second signal comprising a first portion associated with the first signal and a second portion not associated with the first signal, the projection comprising an upper triangular matrix, the projection at least partially isolating the first portion of the second signal from the second portion of the second signal;

    electronically identifying model parameters using at least a portion of the projection; and

    electronically generating and storing a model associated with the model parameters, the model associating the first signal and the first portion of the second signal;

    wherein identifying the model parameters comprises;

    identifying one or more pole candidates using one or more first defined areas in the upper triangular matrix, the model parameters comprising at least one of the one or more pole candidates; and

    identifying one or more model candidates using one or more second defined areas in the upper triangular matrix, the model parameters comprising at least one of the one or more model candidates; and

    wherein each of the one or more second defined areas represents a backward column Hankel matrix centered along one of multiple diagonals of the upper triangular matrix, and wherein identifying the one or more model candidates comprises rewriting each backward column Hankel matrix as a forward column Hankel matrix.

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