Analyse harmonique adaptée aux signaux à modulation de fréquence hyperbolique

Abstract
The signals with an instantaneous frequency following an hyperbolic law are common in many fields of the signal processing, and particularly in the study of biologicals SONARS. In this paper we describe an harmonic analysis adapted to this kind of signals. The problem of stationnarity of stochastic processes will be adressed within the frame of the previous harmonic analysis. This allow us to define a power spectral density for second-order stationnary processes using the Bochner theorem. Some simulation results are presented showing the interest of the adapted harmonic analysis.