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Zhang, Jun-Fang; Hou, Shou-Ping

The generalization of the Poisson sum formula associated with the linear canonical transform. (English) Zbl 1264.42001

J. Appl. Math. 2012, Article ID 102039, 9 p. (2012).
Summary: The generalization of the classical Poisson sum formula, by replacing the ordinary Fourier transform by the canonical transformation, has been derived in the linear canonical transform sense. Firstly, a new sum formula of Chirp-periodic property has been introduced, and then the relationship between this new sum and the original signal is derived. Secondly, the generalization of the classical Poisson sum formula to the linear canonical transform sense has been obtained.

Cited in 5 Documents

MSC:

42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
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\textit{J.-F. Zhang} and \textit{S.-P. Hou}, J. Appl. Math. 2012, Article ID 102039, 9 p. (2012; Zbl 1264.42001)
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