Phase-space distributions in quasi-polar coordinates and the fractional Fourier transform.
The ambiguity function and Cohen's class of bilinear phase-space distributions are represented in a quasipolar coordinate system instead of in a Cartesian system. Relationships between these distributions and the fractional Fourier transform are derived; in particular, derivatives of the ambiguity function are related to moments of the fractional power spectra. A simplification is achieved for the description of underspread signals, for optical beam characterization, and for the generation of signal-adaptive phase-space distributions.
Alieva
T
T
Technische Universiteit Eindhoven, Faculteit Elektrotechniek, Eindhoven, The Netherlands.
Bastiaans
M J
MJ