Title
Smooth time-frequency estimation using covariance fitting
Abstract
In this paper, we introduce a time-frequency spectral estimator for smooth spectra, allowing for irregularly sampled measurements. A non-parametric representation of the time dependent (TD) covariance matrix is formed by assuming that the spectrum is piecewise linear. Using this representation, the time-frequency spectrum is then estimated by solving a convex covariance fitting problem, which also, as a byproduct, provides an enhanced estimation of the TD covariance matrix. Numerical examples using simulated non-stationary processes show the preferable performance of the proposed method as compared to the classical Wigner-Ville distribution and a smoothed spectrogram.
Year
DOI
Venue
2014
10.1109/ICASSP.2014.6853702
Acoustics, Speech and Signal Processing
Keywords
Field
DocType
covariance matrices,curve fitting,piecewise linear techniques,signal representation,smoothing methods,spectral analysis,time-frequency analysis,TD covariance matrix,Wigner-Ville distribution,convex covariance fitting problem,irregularly sampled measurements,non-parametric representation,non-stationary processes,piecewise linear,smooth spectra,smooth time-frequency estimation,smoothed spectrogram,time dependent covariance matrix,time-frequency spectral estimator,time-frequency spectrum
Mathematical optimization,Covariance function,Estimation of covariance matrices,Rational quadratic covariance function,Covariance intersection,CMA-ES,Covariance matrix,Matérn covariance function,Mathematics,Covariance
Conference
ISSN
Citations 
PageRank 
1520-6149
0
0.34
References 
Authors
7
4
Name
Order
Citations
PageRank
Johan Brynolfsson1105.36
Johan Sward23711.84
Andreas Jakobsson340943.32
Maria Hansson-Sandsten49317.25