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Compressive Domain Interference Cancellation

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.
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https://hal.inria.fr/inria-00369498
Contributor : Ist Rennes <>
Submitted on : Friday, March 20, 2009 - 10:16:05 AM
Last modification on : Monday, February 18, 2019 - 11:30:02 AM
Long-term archiving on: : Thursday, June 10, 2010 - 5:30:48 PM

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Mark A. Davenport, Petros T. Boufounos, Richard Baraniuk. Compressive Domain Interference Cancellation. SPARS'09 - Signal Processing with Adaptive Sparse Structured Representations, Inria Rennes - Bretagne Atlantique, Apr 2009, Saint Malo, France. ⟨inria-00369498⟩

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