ICASSP 2006 - May 15-19, 2006 - Toulouse, France

Technical Program

Paper Detail

Paper:SPTM-P7.5
Session:Stationary Signals and Spectrum Analysis
Time:Thursday, May 18, 10:00 - 12:00
Presentation: Poster
Topic: Signal Processing Theory and Methods: Stationary Signals and Spectrum Analysis
Title: SPECTRAL ANALYSIS OF IRREGULARLY SAMPLED DATA USING A BERNOULLI-GAUSSIAN MODEL WITH FREE FREQUENCIES
Authors: Sébastien Bourguignon, Hervé Carfantan, Université Paul Sabatier - Toulouse III, France
Abstract: Line spectra estimation is addressed for irregularly sampled astrophysical data. A formulation with a large number of discretized frequencies is used and sparseness is encouraged via a Bernoulli-Gaussian (BG) model on the corresponding amplitudes. Contrary to classic BG models, here the frequency parameters are not constrained on a fixed grid, theoretically enabling unlimited frequency precision. We propose a posterior mean unsupervised estimation scheme combined with an hybrid MCMC algorithm, that allows us to derive crucial information in an astrophysical context, such as confidence levels and variances for each detected spectral line. Simulations confirm the validity of this model with satisfactory estimation results, in addition to a more solid behaviour than parametric methods towards classic astrophysical perturbations.



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