Nonuniform sampling theorems for random signals in the offset linear canonical transform domain - 文章详情页

作者：

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

摘要：

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.

关键词：

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

作者机构：

[ 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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