Title :
The Finite Fractional Zak Transform
Author_Institution :
Dept. of Math., Univ. of North Carolina at Wilmington, Wilmington, NC, USA
Abstract :
We give a matrix form of the Zak transform in the finite setting and show it can be diagonalized with eigenvectors of the two variable time-independent Schröedinger difference equation. Using this diagonalization we produce a fractional Zak transform and illustrate the effect that it has on constant frequencies.
Keywords :
Fourier transforms; difference equations; eigenvalues and eigenfunctions; eigenvectors; finite fractional Zak transform; variable time independent Schroedinger difference equation; Discrete Fourier transforms; Eigenvalues and eigenfunctions; Modulation; Time-frequency analysis; Vectors; Fractional Fourier transform; Zak transform;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2014.2324495
