Minimum Rate Sampling and Spectrum-Blind Reconstruction in Random Equivalent Sampling

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• 作者：Yijiu Zhao ; Li Wang ; Houjun Wang ; Changjian Liu
• 关键词：Compressive sampling ; Random equivalent sampling ; Spectrum ; blind reconstruction ; Minimum sampling rate ; Minimum description length
• 刊名：Circuits, Systems, and Signal Processing
• 出版年：2015
• 出版时间：August 2015
• 年：2015
• 卷：34
• 期：8
• 页码：2667-2680
• 全文大小：710 KB
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• 作者单位：Yijiu Zhao (1)
  Li Wang (1)
  Houjun Wang (1)
  Changjian Liu (1)
  
  1. School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, China
  
• 刊物类别：Engineering
• 刊物主题：Electronic and Computer Engineering
  
• 出版者：Birkh盲user Boston
• ISSN：1531-5878

文摘

The random equivalent sampling (RES) is a well-known sampling technique that can be used to capture a high-speed repetitive waveform with low sampling rate. In this paper, the feasibility of spectrum-blind multiband signal reconstruction for data sampled from RES is investigated. We propose a RES sampling pattern and its corresponding mathematical model that guarantees well-conditioned reconstruction of multiband signal with unknown spectral support. We give the minimum number of RES acquisitions that hold overwhelming probability to successfully reconstruct original signal. We demonstrate that for signal with specific spectral occupation, the minimum number of RES acquisitions and the minimum sampling rate could be approached. The signal reconstruction is studied in the framework of compressive sampling theory. The eigen-decomposition and minimum description length criteria are adopted to adaptively estimate the dimension of signal, and the number of unknowns of reconstruction problem is reduced. Experimental results are reported to indicate that, for a spectrum-blind sparse multiband signal, the proposed reconstruction algorithm for RES is feasible and robust.