Nonuniform sampling for random signals bandlimited in the linear canonical transform domain

被引：8
|
作者：
Huo, Haiye [1 ]
Sun, Wenchang [2 ,3 ]
机构：
[1] Nanchang Univ, Sch Sci, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
[2] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
[3] Nankai Univ, LPMC, Tianjin 300071, Peoples R China
来源：
MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING | 2020年 / 31卷 / 03期
关键词：
Nonuniform sampling; Linear canonical transform; Random signals; Approximate reconstruction; Sinc interpolation; UNCERTAINTY PRINCIPLES; RECONSTRUCTION; THEOREMS; ERROR; TARGET; JITTER;
D O I：
10.1007/s11045-019-00691-2
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, we mainly investigate the nonuniform sampling for random signals which are bandlimited in the linear canonical transform (LCT) domain. We show that the nonuniform sampling for a random signal bandlimited in the LCT domain is equal to the uniform sampling in the sense of second order statistic characters after a pre-filter in the LCT domain. Moreover, we propose an approximate recovery approach for nonuniform sampling of random signals bandlimited in the LCT domain. Furthermore, we study the mean square error of the nonuniform sampling. Finally, we do some simulations to verify the correctness of our theoretical results.
引用
收藏
页码：927 / 950
页数：24
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