A Committee Machine Approach for Compressed Sensing Signal Reconstruction

作者: Sooraj K. Ambat , Saikat Chatterjee , K. V. S. Hari

DOI: 10.1109/TSP.2014.2303941

关键词: Sparse approximationPattern recognitionSignal processingAlgorithm designSignal reconstructionComputer scienceCompressed sensingAlgorithmCommittee machineArtificial intelligence

摘要: Although many sparse recovery algorithms have been proposed recently in compressed sensing (CS), it is well known that the performance of any algorithm depends on parameters like dimension signal, level sparsity, and measurement noise power. It has observed a satisfactory requires minimum number measurements. This different for algorithms. In applications, measurements unlikely to meet this requirement scheme improve with fewer significant interest CS. Empirically, also underlying statistical distribution nonzero elements which may not be priori practice. Interestingly, can degradation these cases does always imply complete failure. paper, we study scenario show by fusing estimates multiple algorithms, work principles, signal recovery. We present theoretical analysis derive sufficient conditions improvement schemes. demonstrate advantage methods through numerical simulations both synthetic real signals.

参考文章(39)
Michael P. Friedlander, Hassan Mansour, Rayan Saab, Özgür Yilmaz, Recovering Compressively Sampled Signals Using Partial Support Information IEEE Transactions on Information Theory. ,vol. 58, pp. 1122- 1134 ,(2012) , 10.1109/TIT.2011.2167214
D.P. Wipf, B.D. Rao, Bayesian learning for sparse signal reconstruction international conference on acoustics, speech, and signal processing. ,vol. 6, pp. 601- 604 ,(2003) , 10.1109/ICASSP.2003.1201753
A. Maleki, D.L. Donoho, Optimally Tuned Iterative Reconstruction Algorithms for Compressed Sensing IEEE Journal of Selected Topics in Signal Processing. ,vol. 4, pp. 330- 341 ,(2010) , 10.1109/JSTSP.2009.2039176
E.J. Candes, M.B. Wakin, An Introduction To Compressive Sampling IEEE Signal Processing Magazine. ,vol. 25, pp. 21- 30 ,(2008) , 10.1109/MSP.2007.914731
A.S. Dalalyan, A.B. Tsybakov, Sparse regression learning by aggregation and Langevin Monte-Carlo Journal of Computer and System Sciences. ,vol. 78, pp. 1423- 1443 ,(2012) , 10.1016/J.JCSS.2011.12.023
Jean-Luc Starck, David L. Donoho, Emmanuel J. Candes, Very high quality image restoration by combining wavelets and curvelets Wavelets : applications in signal and image processing. Conference. ,vol. 4478, pp. 9- 19 ,(2001) , 10.1117/12.449693
Joel A. Tropp, Anna C. Gilbert, Signal Recovery From Random Measurements Via Orthogonal Matching Pursuit IEEE Transactions on Information Theory. ,vol. 53, pp. 4655- 4666 ,(2007) , 10.1109/TIT.2007.909108
M.J. Fadili, J.-L. Starck, L. Boubchir, Morphological Diversity and Sparse Image Denoising international conference on acoustics, speech, and signal processing. ,vol. 1, pp. 589- 592 ,(2007) , 10.1109/ICASSP.2007.365976
Emmanuel J. Candes, Terence Tao, Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies? IEEE Transactions on Information Theory. ,vol. 52, pp. 5406- 5425 ,(2006) , 10.1109/TIT.2006.885507
Saikat Chatterjee, Dennis Sundman, Mikko Vehkapera, Mikael Skoglund, Projection-Based and Look-Ahead Strategies for Atom Selection IEEE Transactions on Signal Processing. ,vol. 60, pp. 634- 647 ,(2012) , 10.1109/TSP.2011.2173682