吉林大学学报(工学版) ›› 2014, Vol. 44 ›› Issue (4): 1209-1214.doi: 10.13229/j.cnki.jdxbgxb201404047

• • 上一篇    下一篇

下非均匀信息采集及重构

田文飚, 芮国胜, 张海波, 王林   

  1. 海军航空工程学院 信号与信息处理山东省重点实验室, 山东 烟台 264001
  • 收稿日期:2013-02-06 出版日期:2014-07-01 发布日期:2014-07-01
  • 作者简介:田文飚(1987-), 男, 博士研究生.研究方向:压缩感知.E-mail:twbi5si@gmail.com
  • 基金资助:
    “泰山学者”建设工程专项经费资助项目

Non-uniform information acquisition and reconstruction within compressed sensing framework

TIAN Wen-biao, RUI Guo-sheng, ZHANG Hai-bo, WANG Lin   

  1. Key Laboratory of Signal and Information Processing in Shandong Province, Naval Aeronautical and Astronautical University, Yantai 264001, China
  • Received:2013-02-06 Online:2014-07-01 Published:2014-07-01

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摘要： 为提高现有直接信息均匀压缩采样(Analog to information conversion, AIC)的观测效率和性能, 在能量准则下, 提出非均匀信息采集(Non-uniform information acquisition, NUIA), 充分利用信息的重要性先验, 即对信号随机调制后, 依据能量进行变速率的采集, 能量越大的信号段采样速率越高, 反之亦然。结合支撑域扩充、剪枝的思路提出变速匹配追踪(Variable rate matching pursuit, VRMP)算法, 通过引入非均匀观测的先验支撑集, 并在追踪过程中将其与迭代估计出的支撑集相并, 提高了重构精度。理论分析和实验结果表明了NUIA-VRMP的有效性。特别地, 相比于常规AIC的子空间追踪重构, NUIA-VRMP的组合能在低采样速率条件(如20%的Nyquist速率)下获得50 dB的重构增益。

关键词: 信息处理技术, 直接信息采样, 压缩感知, 重构算法, 非均匀采样

Abstract: The existing Analog to Information Conversation (AIC) is based on uniform-low-rate information measurement, and the importance prior information contained in the signal is underused. Under the energy criterion, a Non-Uniform Information Acquisition (NUIA) method is proposed. After random modulation, the signal is sampled at non-uniform-rate that the bigger the energy is the higher the sampling rate is and vice versa. Combing the idea of support merger with pruning, a Variable Rate Matching Pursuit (VRMP) algorithm is proposed. The prior support set, which is united with the set of signal appropriation support, is able to promote the recovery accuracy. Compared with the Subspace Pursuit (SP) reconstruction of conventional AIC, the combination of NUIA-VRMP can obtain 50dB reconstruction gain at ultra-low-rate, (e. g. 20% Nyquist Rate).

Key words: information processing technology, analog to information conversion, compressed sensing, reconstruction algorithm, non-uniform sampling

中图分类号: 

  • TN911.72
[1] Candès E J, Wakin M B. An introduction to compressive sampling[J]. IEEE Signal Processing Magazine, 2008, 25(2): 21-30.
[2] Donoho D L. Compressed sensing[J]. IEEE Trans on Information Theory, 2006, 52(4):1289-1306.
[3] Strohmer T. Measure what should be measured: progress and challenges in compressive sensing[J]. IEEE Signal Processing Letters, 2012, 19(12):887-893.
[4] Laska J, Kirolos S, Massoud Y, et al.Random sampling for analog-to-information conversion of wideband signals[C]∥IEEE Dallas Circuits and Systems Workshop (DCAS), Richardson, TX, 2006.
[5] Kirolos S, Laska J, Wakin M, et al. Analog-to-information conversion via random demodula-tion[C]∥IEEE Dallas Circuits and Systems Workshop (DCAS), Richardson, TX, 2006.
[6] Laska J, Kirolos S, Duarte M, et al. Theory and implementation of an analog-to-information converter using random demodulation[C]∥IEEE International Symposium on Circuits and Systems, ISCAS, New Orleans, LA, 2007.
[7] Tropp J A, Laska J N, Duarte M F, et al. Beyond Nyquist: efficient sampling of sparse bandlimited signals[J]. IEEE Trans on Information Theory, 2010, 56(1): 520-544.
[8] Taheri O, Vorobyov S A. Segmented compressed sampling for analog-to-information conversion: method and performance analysis[J]. IEEE Trans on Signal Processing, 2011, 59(2):554-572.
[9] Tropp J A, Gilbert A C. Signal recovery from random measurements via orthogonal matching pursuit[J]. IEEE Transactions on Information Theory, 2007, 53(12): 4655-4666.
[10] Dai W, Milenkovic O. Subspace pursuit for compressive sensing signal reconstruction[J]. IEEE Trans on Information Theory, 2009, 55(5):2230-2249.
[11] Chen S S, Donoho D L, Saunders M A. Atomic decomposition by basis pursuit[J]. SIAM Journal on Scientific Computing, 1998, 20(1): 33-61.
[12] Davenport M A, Wakin M B. Analysis of orthogonal matching pursuit using the restricted isometry property[J]. IEEE Trans on Information Theory, 2010, 56(9):4395-4401.
[13] Candès E J. The restricted isometry property and its implications for compressed sensing[J]. Compte Rendus de l'Academie des Sciences, 2008, Series I(346):589-592.
[14] 田文飚, 付争, 芮国胜.基于分治试探的盲自适应匹配追踪重构算法[J].通信学报, 2013, 34(4):180-186. Tian Wen-biao, Fu Zheng, Rui Guo-sheng. A blind adaptive matching pursuit algorithm for signal reconstruction based on sparsity trial and error[J]. Journal on Communications, 2013, 34(4):180-186.
[15] 杨海蓉, 张成, 丁大为, 等. 压缩传感理论与重构算法[J]. 电子学报, 2011, 39(1):142-148. Yang Hai-rong, Zhang Cheng, Ding Da-wei, et al.The theory of compressed sensing and reconstruction algorithm[J].Acta Electronica Sinica, 2011, 39(1):142-148.
[16] Grant M, Boyd S.CVX users' guide for CVX version 1.2[OL/DB].[2012-11-13].http://www.stanford.edu/~boyd/cvx.
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