Title :
Instantaneous frequency estimation of FM signals by ΨB-energy operator
Author :
Boudraa, Abdel-Ouahab
Author_Institution :
IRENav, Ecole Navale, Brest, France
Abstract :
The ΨB energy operator is an extension of the cross-Teager-Kaiser energy operator which is a nonlinear energy tracking operator to deal with complex signals and its usefulness for non-stationary signals analysis has been demonstrated. Two new properties of ΨB are established. The first property is the link between ΨB and the dynamic signal which is a generalisation of the instantaneous frequency (IF). The second property obtained for frequency modulated (FM) signals is a simple way to estimate the IF. These properties confirm the interest of the ΨB operator to track the non-stationarity of a signal. Results of IF estimation in a noisy environment of a nonlinear FM signal are presented and comparison to the Wigner-Ville distribution and the Hilbert transform-based method is provided.
Keywords :
Hilbert transforms; Wigner distribution; frequency modulation; signal processing; ΨB-energy operator; FM signals; Hilbert transforms; Wigner-Ville distribution; cross-Teager-Kaiser energy operator; frequency modulation; instantaneous frequency estimation; non-stationary signals analysis; nonlinear energy tracking operator;
Journal_Title :
Electronics Letters
DOI :
10.1049/el.2011.0586