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System and method for processing low signal-to-noise ratio signals

  • US 7,286,983 B2
  • Filed: 07/06/2004
  • Issued: 10/23/2007
  • Est. Priority Date: 11/09/1998
  • Status: Expired due to Term
First Claim
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1. A method of real-time signal processing, the method comprising:

  • acquiring an analog signal, wherein said analog signal comprises a time-varying acoustic signal or a time-varying physiological signal;

    setting;

    an initial state of a digital model of an expected signal; and

    an initial error variance between said initial state of the digital model and a digital representation of the analog signal;

    calculating a plurality of estimates of the state of said digital model, each of said plurality of estimates corresponding to a point in time, as follows;

    for each point in time, calculating;

    a filter gain for the point in time, the filter gain comprising a function of;

    the initial error variance or prediction of the error variance;

    the relationship between the digital model and a measurement of an output signal; and

    a decay factor;

    an improved estimate of the state of said expected signal for the point in time based on said calculated filter gain, a prediction of the state of said expected signal for the point in time and on an observation of said analog signal;

    an update of the estimate of the error variance for the point in time based on said calculated filter gain; and

    a prediction of the state of said expected signal and a prediction of the error variance for the next point in time;

    processing said analog signal according to the digital model to generate the output signal, the output signal comprising a processed signal representing the time-varying acoustic signal or the time-varying physiological signal having an improved signal-to-noise ratio; and

    outputting the processed signal in order to analyze a physiological response.

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