Gridless methods for underdetermined source estimation

作者: Piya Pal , P. P. Vaidyanathan

DOI: 10.1109/ACSSC.2014.7094408

关键词:

摘要: The performances of two gridless algorithms for direction arrival estimation are analyzed, when the number sources can be larger than array elements. One these is a hybrid scheme recently proposed by authors that uses low rank recovery techniques, and other based on total variation (TV) norm minimization scheme. It shown nested sensor used, source signals assumed to Gaussian, recover O(M2) using M sensors with overwhelming probability in time snapshots. 1

参考文章(26)
Carlos Fernandez-Granda, Support detection in super-resolution arXiv: Information Theory. pp. 145- 148 ,(2013)
Piya Pal, P. P. Vaidyanathan, Correlation-aware sparse support recovery: Gaussian sources international conference on acoustics, speech, and signal processing. pp. 5880- 5884 ,(2013) , 10.1109/ICASSP.2013.6638792
Piya Pal, P. P. Vaidyanathan, Pushing the Limits of Sparse Support Recovery Using Correlation Information IEEE Transactions on Signal Processing. ,vol. 63, pp. 711- 726 ,(2015) , 10.1109/TSP.2014.2385033
Piya Pal, P. P. Vaidyanathan, Correlation-aware techniques for sparse support recovery ieee signal processing workshop on statistical signal processing. pp. 53- 56 ,(2012) , 10.1109/SSP.2012.6319753
Piya Pal, P. P. Vaidyanathan, A Grid-Less Approach to Underdetermined Direction of Arrival Estimation Via Low Rank Matrix Denoising IEEE Signal Processing Letters. ,vol. 21, pp. 737- 741 ,(2014) , 10.1109/LSP.2014.2314175
Andrey A. Shabalin, Andrew B. Nobel, Reconstruction of a low-rank matrix in the presence of Gaussian noise Journal of Multivariate Analysis. ,vol. 118, pp. 67- 76 ,(2013) , 10.1016/J.JMVA.2013.03.005
W. Chen, K.M. Wong, J.P. Reilly, Detection of the number of signals: a predicted eigen-threshold approach IEEE Transactions on Signal Processing. ,vol. 39, pp. 1088- 1098 ,(1991) , 10.1109/78.80959
Piya Pal, P. P. Vaidyanathan, Nested Arrays: A Novel Approach to Array Processing With Enhanced Degrees of Freedom IEEE Transactions on Signal Processing. ,vol. 58, pp. 4167- 4181 ,(2010) , 10.1109/TSP.2010.2049264
D. Malioutov, M. Cetin, A.S. Willsky, A sparse signal reconstruction perspective for source localization with sensor arrays IEEE Transactions on Signal Processing. ,vol. 53, pp. 3010- 3022 ,(2005) , 10.1109/TSP.2005.850882
Jian-Feng Cai, Emmanuel J. Candès, Zuowei Shen, A Singular Value Thresholding Algorithm for Matrix Completion SIAM Journal on Optimization. ,vol. 20, pp. 1956- 1982 ,(2010) , 10.1137/080738970