Time-varying frequency/spectral estimation extraction

Time-varying frequency/spectral estimation extraction

Adaptive algorithm vs. Basis Function method

LAP Lambert Academic Publishing ( 2010-01-23 )

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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.

Book Details:

ISBN-13:

978-3-8383-4075-3

ISBN-10:

3838340752

EAN:

9783838340753

Book language:

English

By (author) :

Hall Steven

Number of pages:

124

Published on:

2010-01-23

Category:

Thermodynamics