Eigenfunctions of Fourier and Fractional Fourier Transforms With Complex Offsets and Parameters

DOI10.1109/TCSI.2007.900182zbMath1374.42012MaRDI QIDQ4590226

Soo-Chang Pei, Jian-Jiun Ding

Publication date: 20 November 2017

Published in: IEEE Transactions on Circuits and Systems I: Regular Papers (Search for Journal in Brave)

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (9)

Uncertainty principles for the windowed offset linear canonical transform ⋮ The properties of generalized offset linear canonical Hilbert transform and its applications ⋮ Convolution theorems for the free metaplectic transformation and its application ⋮ Uncertainty principle for the short-time special affine Fourier transform ⋮ Fractional Laplace transform ⋮ An integral transform and its applications in parameter estimation of LFM signals ⋮ Poisson summation formulae associated with the special affine Fourier transform and offset Hilbert transform ⋮ Spectral analysis of sampled band-limited signals in the offset linear canonical transform domain ⋮ Nonuniform sampling theorems for bandlimited signals in the offset linear canonical transform

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