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Nonuniform Sampling for Random Signals Bandlimited in the Linear Canonical Transform Domain
HUO Haiye,SUN Wenchang *
School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071
*Correspondence author
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Funding: Research Fund for the Doctoral Programof Higher Education （No.20120031110023）, National Natural Science Foundation of China （No.11525104 and 11531013）
Opened online:27 May 2016
Accepted by: none
Citation: HUO Haiye,SUN Wenchang.Nonuniform Sampling for Random Signals Bandlimited in the Linear Canonical Transform Domain[OL]. [27 May 2016] http://en.paper.edu.cn/en_releasepaper/content/4690388
 
 
The nonuniform sampling for random signals which are bandlimited in the linear canonical transform (LCT) domain is studied in this paper.It was shown that the nonuniform sampling for a random signal bandlimited in the LCT domainis equal to the uniform sampling in the sense of second order statistic characters after a pre-filter in the LCTdomain. Moreover, an approximate recovery approach for nonuniform sampling of random signals bandlimited in the LCT domain is proposed.Finally, the mean square error of the nonuniform sampling is studied.
Keywords:Approximation theory, linear canonical transform, random signals, nonuniform sampling, approximation error.
 
 
 

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