Detecting Signal Structure from Randomly-Sampled Data

  • Authors:
  • Frank A. Boyle;Jarvis Haupt;Gerald L. Fudge;Chen-Chu A. Yeh

  • Affiliations:
  • L-3 Communications, Integrated Systems, 10001 Jack Finney Blvd., Greenville TX 75402;Department of Electrical and Computer Engineering, University of Wisconsin-Madison, Madison WI 53706;L-3 Communications, Integrated Systems, 10001 Jack Finney Blvd., Greenville TX 75402;L-3 Communications, Integrated Systems, 10001 Jack Finney Blvd., Greenville TX 75402

  • Venue:
  • SSP '07 Proceedings of the 2007 IEEE/SP 14th Workshop on Statistical Signal Processing
  • Year:
  • 2007

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Abstract

Recent theoretical results in Compressive Sensing (CS) show that sparse (or compressible) signals can be accurately reconstructed from a reduced set of linear measurements in the form of projections onto random vectors. The associated reconstruction consists of a nonlinear optimization that requires knowledge of the actual projection vectors. This work demonstrates that random time samples of a data stream could be used to identify certain signal features, even when no time reference is available. since random sampling suppresses aliasing a small (sub-Nyquist) set of samples can represent high-bandwidth signals. Simulations were carried out to explore the utility of such a procedure for detecting and classifying signals of interest.