The Generalization of the Poisson Sum Formula Associated with the Linear Canonical Transform

Joint Authors

Zhang, Jun-Fang
Hou, Shou-Ping

Source

Journal of Applied Mathematics

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-9, 9 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-12-23

Country of Publication

Egypt

No. of Pages

9

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Zhang, Jun-Fang& Hou, Shou-Ping. 2012. The Generalization of the Poisson Sum Formula Associated with the Linear Canonical Transform. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-9.
https://search.emarefa.net/detail/BIM-992945

Modern Language Association (MLA)

Zhang, Jun-Fang& Hou, Shou-Ping. The Generalization of the Poisson Sum Formula Associated with the Linear Canonical Transform. Journal of Applied Mathematics No. 2012 (2012), pp.1-9.
https://search.emarefa.net/detail/BIM-992945

American Medical Association (AMA)

Zhang, Jun-Fang& Hou, Shou-Ping. The Generalization of the Poisson Sum Formula Associated with the Linear Canonical Transform. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-9.
https://search.emarefa.net/detail/BIM-992945

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-992945