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Time-varying Frequency / Spectral Estimation Extraction: Adaptive Algorithm vs. Basis Function Method
Hall Steven
Time-varying Frequency / Spectral Estimation Extraction: Adaptive Algorithm vs. Basis Function Method
Hall Steven
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.
Media | Books Paperback Book (Book with soft cover and glued back) |
Released | June 24, 2010 |
ISBN13 | 9783838340753 |
Publishers | LAP Lambert Academic Publishing |
Pages | 124 |
Dimensions | 225 × 7 × 150 mm · 190 g |
Language | English |