%0 Conference Proceedings
%T Estimation of frequency modulations on wideband signals; applications to audio signal analysis
%+ Laboratoire d'Analyse, Topologie, Probabilités (LATP)
%A Omer, Harold
%A Torrésani, Bruno
%< avec comité de lecture
%( Proceedings of SAMPTA 2013
%B 10th International Conference on Sampling Theory and Applications
%C Bremen, Germany
%P paper #158
%8 2013-07-01
%D 2013
%Z 1305.3095
%K Time Frequency Analysis
%K Non Stationary Random Process
%K Spectral Estimation
%K Audio Signal Processing
%Z Computer Science [cs]/Signal and Image Processing
%Z Engineering Sciences [physics]/Signal and Image processing
%Z Mathematics [math]/Statistics [math.ST]
%Z Statistics [stat]/Statistics Theory [stat.TH]Conference papers
%X The problem of joint estimation of power spectrum and modulation from realizations of frequency modulated stationary wideband signals is considered. The study is motivated by some specific signal classes from which departures to stationarity can carry relevant information and has to be estimated. The estimation procedure is based upon explicit modeling of the signal as a wideband stationary Gaussian signal, transformed by time-dependent, smooth frequency modulation. Under such assumptions, an approximate expression for the second order statistics of the transformed signal's Gabor transform is obtained, which leads to an approximate maximum likelihood estimation procedure. The proposed approach is validated on numerical simulations.
%G English
%2 https://hal.science/hal-00822186/document
%2 https://hal.science/hal-00822186/file/OT.pdf
%L hal-00822186
%U https://hal.science/hal-00822186
%~ CNRS
%~ UNIV-AMU
%~ EC-MARSEILLE
%~ OPENAIRE
%~ I2M