JSM 2004 - Toronto

Abstract #301860

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Activity Number: 314
Type: Contributed
Date/Time: Wednesday, August 11, 2004 : 9:00 AM to 10:50 AM
Sponsor: General Methodology
Abstract - #301860
Title: Spectral Analysis with Time-Varying Frequency
Author(s): Liangang Liu*+ and Henry Gray
Companies: Southern Methodist University and Southern Methodist University
Address: 3225 Daniels Ave., Room 134 Heroy Bldg., Dallas, TX, 75275,
Keywords: Wigner-Ville Distribution ; linear chirp process
Abstract:

The instantaneous spectrum of M- and G(lambda)- stationary process was defined by Gray Woodward and Jiang (2003). The instantaneous autocorrelation function (ACF) was defined by Jiang (2003). The relationship between the instantaneous ACF and the instantaneous spectrum is established for both continuous and discrete process. A new method to estimate lambda and the origin offside of G(lambda) stationary processes is proposed, which is based on the cross-entropy. Also, a new class of nonstationary process called Linear Chirp (L.C.) process is developed. The L.C. process has approximately linearly changing frequency. The Wigner-Ville time-frequency distribution is used to estimate the parameters in the L.C. process. Both simulated and real geophysical data are analyzed using the L.C. process.

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