title: Phase-space distributions in quasi-polar coordinates and the fractional Fourier transform.
abstract: 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.
authors.affiliation: Technische Universiteit Eindhoven, Faculteit Elektrotechniek, Eindhoven, The Netherlands.
authors.forename: T
authors.initials: T
authors.lastname: Alieva
authors.forename: M J
authors.initials: MJ
authors.lastname: Bastiaans