# On higher order approximations for hermite-gaussian functions and discrete fractional Fourier transforms

2007-10-01
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.
IEEE SIGNAL PROCESSING LETTERS

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Citation Formats
Ç. Candan, “On higher order approximations for hermite-gaussian functions and discrete fractional Fourier transforms,” IEEE SIGNAL PROCESSING LETTERS, pp. 699–702, 2007, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/47829. 