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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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2009
Accession Number
ADA519734

Entities

People

  • Mark A. Davenport
  • Petros T. Boufounos
  • Richard G. Baraniuk

Organizations

  • Rice University

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Acquisition
  • Algorithms
  • Artificial Satellites
  • Cancellation
  • Compressed Sensing
  • Computational Complexity
  • Computers
  • Construction
  • Electrical Engineering
  • Engineering
  • Filters
  • Filtration
  • Gaussian Distributions
  • Measurement
  • Mobile Phones
  • Sampling
  • Signal Processing

Fields of Study

  • Engineering

Readers

  • Image Processing and Computer Vision.
  • Linear Algebra
  • Radio communications and signal processing.