The Fractional Fourier Transform: With Applications in Optics and Signal Processing
The discovery of the Fractional Fourier Transform and its role in optics and data management provides an elegant mathematical framework within which to discuss diffraction and other fundamental aspects of optical systems. This book explains how the fractional Fourier transform has allowed the generalization of the Fourier transform and the notion of the frequency transform. It will serve as the standard reference on Fourier transforms for many years to come.
What people are saying - Write a review
We haven't found any reviews in the usual places.
Signals Systems and Transformations
Wigner Distributions and Linear Canonical Transforms
The Fractional Fourier Transform
10 other sections not shown
ambiguity function amplitude distribution angle applications approximation arbitrary ath domain ath order fractional basis set chapter characterized chirp multiplication coefficients complex configurations consider coordinate correlation corresponding defined definition denote derivative dimensions discrete fractional Fourier discussed distribution of light eigenfunctions eigensignals eigenvalue eigenvectors fa(u figure focal length Fourier domain filtering Fourier optical Fourier transform operator fractional Fourier domain fractional Fourier transform fractional transform free space frequency domain Gaussian beam Gaussian function given in equation Hamilton's equations Hermite-Gaussian functions integral interpreted invariance inverse kernel Kutay lenses linear canonical transforms linear system Lohmann matrix obtain optical systems optimal order fractional Fourier ordinary Fourier domain ordinary Fourier transform orthonormal phase space propagation properties quadratic graded-index media quadratic-phase system radius rotation scale parameter section of free signal simply space-frequency spherical reference surfaces thin lens time-frequency representations time-order representation two-dimensional values variable vector Wigner distribution Zalevsky zero