New sampling formulae associated with the linear canonical transform

Bing Zhao Li*, Ran Tao, Yue Wang

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Citation (Scopus)

Abstract

Linear canonical transform play an important role in many fields of optics and signal processing society. Well known transforms in these fields such as the Fourier transform, the fractional Fourier transform, and the Fresnel transform can be looked at as special cases of the linear canonical transform. In this paper we obtain new sampling formulae for reconstructing signals that are band-limited or time-limited in the linear canonical transform sense. In the new sampling formulae, we use samples from both the signal and its Hilbert transform, but each taken at half the Nyquist rate of linear canonical transform domain.

Original languageEnglish
Title of host publication8th International Conference on Signal Processing, ICSP 2006
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Print)0780397371, 9780780397378
DOIs
Publication statusPublished - 2006
Event8th International Conference on Signal Processing, ICSP 2006 - Guilin, China
Duration: 16 Nov 200620 Nov 2006

Publication series

NameInternational Conference on Signal Processing Proceedings, ICSP
Volume1

Conference

Conference8th International Conference on Signal Processing, ICSP 2006
Country/TerritoryChina
CityGuilin
Period16/11/0620/11/06

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