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Author:

Bao, Y.-P. (Bao, Y.-P..) | Zhang, Y.-N. (Zhang, Y.-N..) | Song, Y.-E. (Song, Y.-E..) | Li, B.-Z. (Li, B.-Z..) | Dang, P. (Dang, P..)

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Scopus

Abstract:

With the rapid development of the offset linear canonical transform (OLCT) in the fields of optics and signal processing, it is necessary to consider the nonuniform sampling associated with the OLCT. Nowadays, the analysis and applications of the nonuniform sampling for deterministic signals in the OLCT domain have been well published and studied. However, none of the results about the reconstruction of nonuniform sampling for random signals in the OLCT domain have been proposed until now. In this paper, the nonuniform sampling and reconstruction of random signals in the OLCT domain are investigated. Firstly, a brief introduction to the fundamental knowledge of the OLCT and some special nonuniform sampling models are given. Then, the reconstruction theorems for random signals from nonuniform samples in the OLCT domain have been derived for different nonuniform sampling models. Finally, the simulation results are given to verify the accuracy of theoretical results. © 2017 IEEE.

Keyword:

Nonuniform sampling; Offset linear canonical transform; Power spectral density; Random signal; Recurrent nonuniform sampling

Author Community:

  • [ 1 ] [Bao, Y.-P.]School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, China
  • [ 2 ] [Zhang, Y.-N.]School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, China
  • [ 3 ] [Song, Y.-E.]School of Electrical and Information Engineering, Beijing Polytechnic College, Beijing, 100042, China
  • [ 4 ] [Li, B.-Z.]School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, China
  • [ 5 ] [Dang, P.]Faculty of Information Technology, Macau University of Science and Technology, Macau

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Source :

Proceedings - 9th Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA ASC 2017

Year: 2018

Volume: 2018-February

Page: 94-99

Language: English

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 2

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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