Journal of Russian Laser Research

Fractional Fourier transform in information processing, tomography of optical signal, and Green function of harmonic oscillator

Margarita A. Man’ko

Published May 1, 1999• 29 citations

Publisher

DOI: 10.1007/bf02508542

Related papers

A simple realization of fractional Fourier transform and relation to harmonic oscillator Green's function

G. S. Agarwal, R. Simon

Optics CommunicationsAug 1, 199455 citations

Quasidistributions, tomography, and fractional Fourier transform in signal analysis

Margarita A. Man’ko

Journal of Russian Laser ResearchSep 1, 200028 citations

On fractional fourier transform and the schrodinger equation of harmonic oscillation

Roxana Gathogo

Jan 1, 20050 citations

Quantum Tomography Approach in Signal Analysis

Margarita A. Man’ko

Some properties of the fractional Fourier transform, which is used in information processing, are presented in connection with the tomography transform of optical signals. Relation of the Green function of the quantum harmonic oscillator to the fractional Fourier transform is elucidated.

arXiv:quant-ph/9906010Jun 2, 19993 citations

Quantum Theory of Optical Fractional Fourier Transform

张科 Ke ZHANG, 李兰兰 Lan-lan LI, 余海军 Hai-jun YU +2 more

ACTA PHOTONICA SINICAJan 1, 20202 citations

Quantum-Tomography Method in Information Processing

Margarita A. Man’ko

Analogy of time-dependent analytic signal to the wave function is used to apply in signal analysis the new tomographic approach developed recently in quantum mechanics and quantum optics. The tomographic probability and analytic signal are shown to be connected by the integral transform with a kernel related to the fractional Fourier transform.

Kluwer Academic Publishers eBooksFeb 24, 20065 citations