articleAug 15, 2016Closed access

1From Denoising to Compressed Sensing

Rice University · Columbia University

Abstract

A denoising algorithm seeks to remove perturbations or errors from a signal. The last three decades have seen extensive research devoted to this arena, and as a result, today’s denoisers are highly optimized algorithms that effectively remove large amounts of additive white Gaussian noise. A compressive sensing (CS) reconstruction algorithm seeks to recover a structured signal acquired using a small number of randomized measurements. Typical CS reconstruction algorithms can be cast as iteratively estimating a signal from a perturbed observation. This paper answers a natural question: How can one effectively employ a generic denoiser in a CS reconstruction algorithm? In response, in this paper, we develop a…

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Topics & keywords

Keywords
  • Compressed sensing
  • Additive white Gaussian noise
  • Noise reduction
  • Computer science
  • Message passing
  • Algorithm
  • Noise (video)
  • Signal reconstruction
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