Evolutionary spectrum estimation for uniformly modulated processes with improved boundary performance

Author

Moghtaderi, Azadeh ; Takahara, Glen ; Thomson, David J.

Author_Institution

Dept. of Math. & Stat., Queen´´s Univ., Kingston, ON

fYear

2009

fDate

19-24 April 2009

Firstpage

2993

Lastpage

2996

Abstract

The evolutionary spectrum (ES) is a time-dependent analogue of the spectrum of a stationary process. Existing estimators of the ES suffer from bias problems in the boundary region of the time-frequency domain, due to windowing effects. We propose a new estimator of the ES of a uniformly modulated process which mitigates these problems. Our estimator is based on an extrapolation of the ES in time, using an estimate of the time derivative of the ES. We apply our estimator to a simulated example of a uniformly modulated process with known ES.

Keywords

spectral analysis; stochastic processes; time-frequency analysis; evolutionary spectrum estimation; spectral analysis; stationary process spectrum; stochastic processes; time-dependent analogue; time-frequency domain; uniformly modulated processes; Analytical models; Estimation theory; Extrapolation; Frequency estimation; Mathematics; Signal analysis; Spectral analysis; Statistics; Stochastic processes; Time frequency analysis; Spectral Analysis; Stochastic Processes;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech and Signal Processing, 2009. ICASSP 2009. IEEE International Conference on

Conference_Location

Taipei

ISSN

1520-6149

Print_ISBN

978-1-4244-2353-8

Electronic_ISBN

1520-6149

Type

conf

DOI

10.1109/ICASSP.2009.4960253

Filename

4960253