4.6 Article

Local Polynomial Modeling of Time-Varying Autoregressive Models With Application to Time-Frequency Analysis of Event-Related EEG

Journal

IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING
Volume 58, Issue 3, Pages 557-566

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TBME.2010.2089686

Keywords

Electroencephalogram; event-related potential; local polynomial modeling (LPM); time-frequency analysis (TFA); time-varying autoregressive (TVAR) model

Funding

  1. University of Hong Kong CRCG

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This paper proposes a new local polynomial modeling (LPM) method for identification of time-varying autoregressive (TVAR) models and applies it to time-frequency analysis (TFA) of event-related electroencephalogram (ER-EEG). The LPM method models the TVAR coefficients locally by polynomials and estimates the polynomial coefficients using weighted least-squares with a window having a certain bandwidth. A data-driven variable bandwidth selection method is developed to determine the optimal bandwidth that minimizes the mean squared error. The resultant time-varying power spectral density estimation of the signal is capable of achieving both high time resolution and high frequency resolution in the time-frequency domain, making it a powerful TFA technique for nonstationary biomedical signals like ER-EEG. Experimental results on synthesized signals and real EEG data show that the LPM method can achieve a more accurate and complete time-frequency representation of the signal.

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