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Method for filtering signals from nonlinear dynamical systems

  • US 20020178193A1
  • Filed: 05/24/2002
  • Published: 11/28/2002
  • Est. Priority Date: 11/18/1997
  • Status: Active Grant
First Claim
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1. A method for filtering signals from a nonlinear dynamical system, comprising the steps of:

  • (a) setting an initial enhanced point to a noisy point obtained from the signals;

    (b) estimating an intermediate enhanced point;

    (c ) computing a new enhanced point using the estimated point and a weighting constant; and

    (d) iterating the steps (b) and (c) until the computed point converges to a true enhanced point which represents a noise reduced signal to provide filtered signals, wherein the new enhanced point is computed by the equation x^n(i)=x^n(i-1)+K3

    [x^n(i,temp)-x^n(i-1)]
    wherein {circumflex over (x)}n(i) is the new enhanced point, {circumflex over (x)}n(i−

    temp)
    is the intermediate enhanced point for iteration i, {circumflex over (x)}n(i−

    1)
    is the enhanced point at iteration i−

    1, and K3 is a weighing constant.

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