Name
Title | ||
|---|---|---|
On Higher Order Approximations for Hermite–Gaussian Functions and Discrete Fractional Fourier Transforms |
Abstract | ||
|---|---|---|
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 ... |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1109/LSP.2007.898354 | IEEE Signal Processing Letters |
Keywords | Field | DocType |
Fourier transforms,Discrete Fourier transforms,Differential equations,Boundary conditions,Character generation,Kernel,Sampling methods,Difference equations,Image sampling,Transform coding | Non-uniform discrete Fourier transform,Mathematical optimization,Mathematical analysis,Matrix (mathematics),Discrete frequency domain,Discrete Fourier series,Fourier transform,Discrete Fourier transform (general),Discrete sine transform,Fractional Fourier transform,Mathematics | Journal |
Volume | Issue | ISSN |
14 | 10 | 1070-9908 |
Citations | PageRank | References |
15 | 1.01 | 4 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Çağatay Candan | 1 | 126 | 11.13 |
| FOURIER TRANSFORM | 2 | 15 | 1.01 |