The generalization of the Poisson sum formula associated with the linear canonical transform

DOI10.1155/2012/102039zbMath1264.42001OpenAlexW2059407432WikidataQ58905687 ScholiaQ58905687MaRDI QIDQ1952737

Shou-Ping Hou, Junfang Zhang

Publication date: 3 June 2013

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/102039

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (5)

Linear canonical deformed Hankel transform and the associated uncertainty principles ⋮ Windowed special affine Fourier transform ⋮ Poisson summation formulae associated with the special affine Fourier transform and offset Hilbert transform ⋮ Array of line sources that produces preselected plane waves ⋮ Special affine wavelet transform and the corresponding Poisson summation formula

Cites Work

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• New sampling formulae related to linear canonical transform
• Sampling and discretization of the linear canonical transform
• The Poisson sum formulae associated with the fractional Fourier transform
• Extensions of the Poisson summation formula
• Dirac combs
• Spectral analysis of sampled signals in the linear canonical transform domain
• Parseval's relationship for nonuniform samples of signals with several variables
• Remarques sur la formule sommatoire de Poisson
• On Sampling of Band-Limited Signals Associated With the Linear Canonical Transform
• Relations between fractional operations and time-frequency distributions, and their applications
• An uncertainty principle related to the Poisson summation formula

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