Sampling in the Linear Canonical Transform Domain

Joint Authors

Xu, Tian-Zhou
Li, Bing-Zhao

Source

Mathematical Problems in Engineering

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-13, 13 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-07-08

Country of Publication

Egypt

No. of Pages

13

Main Subjects

Civil Engineering

Abstract EN

This paper investigates the interpolation formulae and the sampling theorem for bandpass signals in the linear canonical transform (LCT) domain.

Firstly, one of the important relationships between the bandpass signals in the Fourier domain and the bandpass signals in the LCT domain is derived.

Secondly, two interpolation formulae from uniformly sampled points at half of the sampling rate associated with the bandpass signals and their generalized Hilbert transform or the derivatives in the LCT domain are obtained.

Thirdly, the interpolation formulae from nonuniform samples are investigated.

The simulation results are also proposed to verify the correctness of the derived results.

American Psychological Association (APA)

Li, Bing-Zhao& Xu, Tian-Zhou. 2012. Sampling in the Linear Canonical Transform Domain. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-1029603

Modern Language Association (MLA)

Li, Bing-Zhao& Xu, Tian-Zhou. Sampling in the Linear Canonical Transform Domain. Mathematical Problems in Engineering No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-1029603

American Medical Association (AMA)

Li, Bing-Zhao& Xu, Tian-Zhou. Sampling in the Linear Canonical Transform Domain. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-1029603

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1029603