Multichannel Consistent Sampling and Reconstruction associated with Linear Canonical Transform

Authors: Liyun Xu, Ran Tao, Feng Zhang

Abstract:

Authors:Liyun Xu, Ran Tao, Feng Zhang
Abstract:Multichannel sampling is fundamental in the theory of multichannel parallel analog-to-digital converters (ADC) and multiplexing wireless communication. This letter investigates the multichannel consistent sampling theory associated with the linear canonical transform (LCT), which can combine the reconstruction of the signal and the correction of sensor distortions. The consistency requests that a re-sampling of the reconstruction by the original sampling operation yields the same measurements as before. The consistent sampling is applicable to an arbitrary finite energy signal and without the constraint such as bandlimiting. Under this circumstance, two effective reconstruction methods based on the shift-invariant reconstruction space and the linear canonical basis functions space are developed. Finally, the reconstruction experiment of the radar echo signal is presented.

Multichannel Consistent Sampling and Reconstruction associated with Linear Canonical Transform

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Wed Sep 06 00:00:00 CST 2017