Sparsity order estimation for sub-Nyquist sampling and recovery of sparse multiband signals
Lavrenko A, Romer F, Del Galdo G, Thoma RS (2015)
Publication Type: Conference contribution
Publication year: 2015
Journal
Publisher: Institute of Electrical and Electronics Engineers Inc.
Book Volume: 2015-September
Pages Range: 4907-4912
Conference Proceedings Title: IEEE International Conference on Communications
Event location: London, GBR
ISBN: 9781467364324
Abstract
The application of the Compressed Sensing (CS) paradigm to the sampling of sparse wireless signals allows a significant reduction of the sampling rate compared to the one dictated by the Nyquist sampling theorem. The majority of the theoretical results derived within CS are expressed in terms of the known sparsity order of the signal. In this work we address the problem of sparsity order estimation of multiband signals with unknown sparse spectral supports. We show that it can be estimated directly in the compressed domain as the dimension of the signal subspace of the observations' covariance matrix. We analyze how the results of the sparsity estimation can be utilized during the reconstruction step and which requirements it imposes on the performance of the subspace estimation algorithms. The results of the numerical study demonstrate that the reconstruction step is particularly sensitive to type II errors. This in turn indicates that the classical non-parametric model order selection algorithms might be unfavorable for this application since they tend to underestimate model order in the low SNR regime. As a remedy we propose to apply parametric approaches that allow to compromise resulting probabilities of over- and underestimation.
Involved external institutions
Germany (DE)How to cite
APA:
Lavrenko, A., Romer, F., Del Galdo, G., & Thoma, R.S. (2015). Sparsity order estimation for sub-Nyquist sampling and recovery of sparse multiband signals. In IEEE International Conference on Communications (pp. 4907-4912). London, GBR: Institute of Electrical and Electronics Engineers Inc..
MLA:
Lavrenko, Anastasia, et al. "Sparsity order estimation for sub-Nyquist sampling and recovery of sparse multiband signals." Proceedings of the IEEE International Conference on Communications, ICC 2015, London, GBR Institute of Electrical and Electronics Engineers Inc., 2015. 4907-4912.
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