线性正则变换域带限随机信号的非均匀采样
Nonuniform Sampling for Random Signals Bandlimited in the Linear Canonical Transform Domain
摘要：
本文主要研究线性正则变换域中带限随机信号的非均匀采样问题。本文证明了在LCT域中对带限随机信号的非均匀采样在二阶统计量意义下等价于在LCT域中经过预滤波后的均匀采样。此外，我们提出了一种近似恢复方法的非均匀采样的随机信号带限在LCT域。此外，我们还研究了非均匀抽样的均方误差。最后，我们做了一些模拟来验证我们的理论结果的正确性。
英文摘要：
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.
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