%0 Journal Article
%T Time-frequency and time-scale analysis of deformed stationary processes, with application to non-stationary sound modeling
%+ Institut de Mathématiques de Marseille (I2M)
%A Omer, Harold
%A Torrésani, Bruno
%< avec comité de lecture
%@ 1063-5203
%J Applied and Computational Harmonic Analysis
%I Elsevier
%V 43
%N 1
%P 1-22
%8 2017-07-01
%D 2017
%Z 1510.08240
%R 10.1016/j.acha.2015.10.002
%K Time-frequency
%K Time-scale
%K Modulation
%K Warping
%K Stationary signals
%Z Engineering Sciences [physics]/Signal and Image processing
%Z Mathematics [math]/Information Theory [math.IT]
%Z Mathematics [math]/Statistics [math.ST]Journal articles
%X A class of random non-stationary signals termed timbre×dynamics is introduced and studied. These signals are obtained by non-linear transformations of sta-tionary random gaussian signals, in such a way that the transformation can be approximated by translations in an appropriate representation domain. In such situations, approximate maximum likelihood estimation techniques can be de-rived, which yield simultaneous estimation of the transformation and the power spectrum of the underlying stationary signal. This paper focuses on the case of modulation and time warping of station-ary signals, and proposes and studies estimation algorithms (based on time-frequency and time-scale representations respectively) for these quantities of interest. The proposed approach is validated on numerical simulations on synthetic signals, and examples on real life car engine sounds.
%G English
%2 https://hal.archives-ouvertes.fr/hal-01094835v2/document
%2 https://hal.archives-ouvertes.fr/hal-01094835/file/OT_HAL.pdf
%L hal-01094835
%U https://hal.archives-ouvertes.fr/hal-01094835
%~ CNRS
%~ EC-MARSEILLE
%~ INSMI
%~ I2M-2014-
%~ I2M
%~ UNIV-AMU