Optics and Precision Engineering, Volume. 30, Issue 10, 1240(2022)

High frequency signal reconstruction based on compressive sensing and equivalent-time sampling

Ning JING1,2, Dingyi YAO1, Zhibin WANG2,3, Minjuan ZHANG1、*, and Rui ZHANG1,3
Author Affiliations
  • 1School of Information and Communication, North University of China, Taiyuan03005, China
  • 2Shanxi Provincial Research Center for Optical-Electric Information and Instrument Engineering Technology, Taiyuan030051, China
  • 3Academy for Advanced Interdisciplinary Research, North University of China, Taiyuan00051, China
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    A simple harmonic wave with frequency 10–100 GHz is collected by a domestic equivalence time optical sampling oscilloscope to measure and recover high-frequency signals in undersampling situations. There is a trigger sequence with a 5 ps delay resolution and 10 μs dynamic range in the oscilloscope. The trigger sequence, generated by two steps of coarse and fine delayers, is used to drive the high band-wide sampler, and the sampling value is output by an ADC with a frequency of 50 kHz. In this advancement, the high-frequency signal is sampled with an increasing 5 ps delay every 20 μs. The compress ratio is approximately 106, and the sampling rate is far below the Nyquist law. With compressive sensing theory, the measurement matrix is constructed by Fourier translation and equivalence time sampling sequence and sparsify the signal measurement process. The measurement signal is reconstructed by solving an Ll-norm minimum problem. The results demonstrate that the signal with a frequency of 100 GHz can be undersampled and reconstructed with a mean square error below 5×10-5, implying that the dynastic range of the sampling oscilloscope should be expanded.

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    Ning JING, Dingyi YAO, Zhibin WANG, Minjuan ZHANG, Rui ZHANG. High frequency signal reconstruction based on compressive sensing and equivalent-time sampling[J]. Optics and Precision Engineering, 2022, 30(10): 1240

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    Paper Information

    Category: Information Sciences

    Received: Dec. 29, 2021

    Accepted: --

    Published Online: Jun. 1, 2022

    The Author Email: ZHANG Minjuan (zmj7745@163.com)

    DOI:10.37188/OPE.20223010.1240

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