Quantization of Sparse Representations

  • Authors:
  • Petros Boufounos;Richard Baraniuk

  • Affiliations:
  • Rice University;Rice University

  • Venue:
  • DCC '07 Proceedings of the 2007 Data Compression Conference
  • Year:
  • 2007

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Abstract

Compressive sensing (CS) is a new signal acquisition technique for sparse and com- pressible signals. Rather than uniformly sampling the signal, CS computes inner products with randomized basis functions; the signal is then recovered by a convex optimization. Random CS measurements are universal in the sense that the same acquisition system is sufficient for signals sparse in any representation. This paper examines the quantization of strictly sparse, power-limited signals and concludes that CS with scalar quantization uses its allocated rate inefficiently.