Multichannel Sampling and Reconstruction of Bandlimited Signals in Fractional Fourier Domain
Multichannel Sampling and Reconstruction of Bandlimited Signals in Fractional Fourier Domain
复制标题
DOI：
10.1109/lsp.2010.2071383
复制
发表时间：
2010-09
影响因子：
3.9
通讯作者：
Jun Shi;Yonggang Chi;Naitong Zhang
中科院分区：
文献类型：
--
作者：
Jun Shi;Yonggang Chi;Naitong Zhang
经典的多通道采样定理，为共同的带限信号已被不同地扩展到分数傅里叶变换（FRFT）相关的分数带限信号。然而，由于频谱泄漏和硬件复杂性的影响，这些现有扩展的实现是低效的。这封信的目的是介绍一个实用的分数带限信号的多通道采样定理。该定理是在时域中通过普通卷积构造的，可以减小频谱泄漏的影响，且易于实现。经典的多通道采样定理和著名的分数阶傅里叶变换采样定理都是它的特例，并给出了该定理的一些潜在应用。通过仿真验证了理论推导的正确性。
The classical multichannel sampling theorem for common bandlimited signals has been extended differently to fractional bandlimited signals associated with the fractional Fourier transform (FRFT). However, the implementation of those existing extensions is inefficient because of the effect of spectral leakage and hardware complexity. The purpose of this letter is to introduce a practical multichannel sampling theorem for fractional bandlimited signals. The theorem which is constructed by the ordinary convolution in the time domain can reduce the effect of spectral leakage and is easy to implement. The classical multichannel sampling theorem and the well-known sampling theorem for the FRFT are shown to be special cases of it. Some potential applications of this theorem are also presented. The validity of the theoretical derivations is demonstrated via simulations.