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    Time-varying frequency/spectral estimation extraction: Adaptive algorithm vs. Basis Function method

     
    Time-varying frequency/spectral estimation extraction: Adaptive algorithm vs. Basis Function method

    Description

    A time-varying autoregressive (TVAR) approach is used for modeling nonstationary signals, and frequency information is then extracted from the TVAR parameters. Two methods may be used for estimating the TVAR parameters: the adaptive algorithm approach and the basis function approach. Adaptive algorithms, such as the least mean square (LMS) and the recursive least square (RLS), use a dynamic model for adapting the TVAR parameters and are capable of tracking time-varying frequency, provided that the variation is slow. It is observed that, if the signals have a single timefrequency component, the RLS with a fixed pole on the unit circle yields the fastest convergence. The basis function method employs an explicit model for the TVAR parameter variation, and model parameters are estimated via a block calculation. We proposed a modification to the basis function method by utilizing both forward and backward predictors for estimating the time-varying spectral density of nonstationary signals. It is shown that our approach yields better accuracy than the existing basis function approach, which uses only the forward predictor.

    Product details

    EAN/ISBN:
    9783838340753
    Medium:
    Paperback
    Number of pages:
    124
    Publication date:
    2010-01-29
    Publisher:
    LAP Lambert Academic Publishing
    EAN/ISBN:
    9783838340753
    Medium:
    Paperback
    Number of pages:
    124
    Publication date:
    2010-01-29
    Publisher:
    LAP Lambert Academic Publishing

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