The discrete fractional Fourier transform based on the DFT matrix
DOI10.1016/j.sigpro.2010.05.007zbMath1203.94051OpenAlexW1978432871MaRDI QIDQ612646
Lutfiye Durak-Ata, Ahmet Serbes
Publication date: 29 December 2010
Published in: Signal Processing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.sigpro.2010.05.007
DFT matrixdiscrete fractional Fourier transformeigentransform matricesHermite-Gauss functionsrotation property
Fractional derivatives and integrals (26A33) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Numerical methods for discrete and fast Fourier transforms (65T50) Application of orthogonal and other special functions (94A11)
Related Items (1)
Cites Work
- Unnamed Item
- Efficient computation of DFT commuting matrices by a closed-form infinite order approximation to the second differentiation matrix
- Time delay estimation using fractional Fourier transform
- Tuning of FIR filter transition bandwidth using fractional Fourier transform
- Shift-invariance of short-time Fourier transform in fractional Fourier domains
- Signal compression using discrete fractional Fourier transform and set partitioning in hierarchical tree
- The eigenvectors of the discrete Fourier transform: A version of the Hermite functions
- Joint time-frequency offset detection using the fractional Fourier transform
- Discrete fractional Fourier transform based on orthogonal projections
- The discrete fractional Fourier transform
- Eigenvectors and functions of the discrete Fourier transform
- Discrete Fractional Fourier Transform Based on New Nearly Tridiagonal Commuting Matrices
- Hermite–Gaussian-Like Eigenvectors of the Discrete Fourier Transform Matrix Based on the Singular-Value Decomposition of Its Orthogonal Projection Matrices
- Short-time fourier transform: two fundamental properties and an optimal implementation
This page was built for publication: The discrete fractional Fourier transform based on the DFT matrix
