Compressive domain interference cancellation

TitleCompressive domain interference cancellation
Publication TypeConference Paper
AuthorsM. A. Davenport, P. T. Boufounos, and R. G. Baraniuk
Abstract

In this paper we consider the scenario where a compressive sensing system acquires a signal of interest corrupted by an interfering signal. Under mild sparsity and orthogonality conditions on the signal and interference, we demonstrate that it is possible to efficiently filter out the interference from the compressive measurements in a manner that preserves our ability to recover the signal of interest. Specifically, we develop a filtering method that nulls out the interference while maintaining the restricted isometry property (RIP) on the set of potential signals of interest. The construction operates completely in the compressive domain and has computational complexity that is polynomial in the number of measurements.

Acknowledgements

The authors would like to thank Michael Wakin for his valuable comments on the manuscript. The authors can be contacted at fmd, richbg@rice.edu and petrosb@merl.com. This work was supported by the grants NSF CCF-0431150, CCF-0728867, CNS-0435425, and CNS-0520280, DARPA/ONR N66001-08-1-2065, ONR N00014-07-1-0936, N00014-08-1-1067, N00014-08-1-1112, and N00014-08-1-1066, AFOSR FA9550-07-1-0301, ARO MURI W911NF-07-1-0185, and the Texas Instruments Leadership University Program. Petros Boufounos performed this work while with the Rice University ECE Department.

Year of Publication2009
MonthApr.
Conference NameWorkshop on Signal Processing with Adaptive Sparse Structured Representations (SPARS)
Conference LocationSaint-Malo, France
Publication File: 

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