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Time-varying frequency/spectral estimation extraction

Adaptive algorithm vs.Basis Function method

Erschienen am 01.02.2010, 1. Auflage 2010
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Bibliografische Daten
ISBN/EAN: 9783838340753
Sprache: Englisch
Umfang: 124 S.
Format (T/L/B): 0.8 x 22 x 15 cm
Einband: kartoniertes Buch

Beschreibung

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.

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Autorenportrait

Hall Steven received his Ph.d in Economics in 2003. He is now working as professor at the university of Pennsylvania. He also received a B.S.C in philosophy in 2005.