IEEE SIGNAL PROCESSING LETTERS, vol.14, no.10, pp.699-702, 2007 (SCI-Expanded)
Article / Article
IEEE SIGNAL PROCESSING LETTERS
Science Citation Index Expanded (SCI-EXPANDED), Scopus
commuting matrices, fractional Fourier transforms, Hermite-Gaussian functions, EIGENVECTORS, MATRICES
Middle East Technical University Affiliated:
Discrete equivalents of Hermite-Gaussian functions play a critical role in the definition of a discrete fractional Fourier transform. The discrete equivalents are typically calculated through the eigendecomposition of a commutator matrix. In this letter, we first characterize the space of DFT-commuting matrices and then construct matrices approximating the Hermite-Gaussian generating differential equation and use the matrices to accurately generate the discrete equivalents of Hermite-Gaussians.