Title :
On fractional Fourier transform moments
Author :
Alieva, Tatiana ; Bastiaans, Martin J.
Author_Institution :
Faculteit Elektrotech., Eindhoven Univ. of Technol., Netherlands
Abstract :
Based on the relation between the ambiguity function represented in a quasipolar coordinate system and the fractional power spectra, the fractional Fourier transform (FT) moments are introduced. Important equalities for the global second order fractional FT moments are derived, and their applications for signal analysis are discussed. The connection between the local moments and the angle derivative of the fractional power spectra is established. This permits us to solve the phase retrieval problem if only two close fractional power spectra are known.
Keywords :
Fourier transforms; phase estimation; signal processing; spectral analysis; ambiguity function; angle derivative; equalities; fractional Fourier transform moments; fractional power spectra; global second order fractional FT moments; phase retrieval problem; quasipolar coordinate system; signal analysis; Fourier transforms; Gravity; Kernel; Power measurement; Signal analysis; Time measurement;
Journal_Title :
Signal Processing Letters, IEEE
