Designing constrained projections for compressed sensing: Mean errors and anomalies with coherence

Dhruv Shah, Alankar Kotwal, Ajit Rajwade

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Most existing work in designing sensing matrices for compressive recovery is based on optimizing some quality factor, such as mutual coherence, average coherence or the restricted isometry constant (RIC), of the sensing matrix. In this paper, we report anomalous results that show that such a design is not always guaranteed to improve reconstruction results. We also present a design method based on the minimum mean squared error (MMSE) criterion, imposing priors on signal and noise for natural images, and show that it yields results superior to results from coherence-based methods while taking into account physical constraints on the sensing matrix.

Original languageEnglish (US)
Title of host publication2018 IEEE Global Conference on Signal and Information Processing, GlobalSIP 2018 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages321-325
Number of pages5
ISBN (Electronic)9781728112954
DOIs
StatePublished - Jul 2 2018
Externally publishedYes
Event2018 IEEE Global Conference on Signal and Information Processing, GlobalSIP 2018 - Anaheim, United States
Duration: Nov 26 2018Nov 29 2018

Publication series

Name2018 IEEE Global Conference on Signal and Information Processing, GlobalSIP 2018 - Proceedings

Conference

Conference2018 IEEE Global Conference on Signal and Information Processing, GlobalSIP 2018
Country/TerritoryUnited States
CityAnaheim
Period11/26/1811/29/18

Keywords

  • Average coherence
  • Bayesian estimation
  • Compressed sensing
  • Projection design
  • Structured sparsity

ASJC Scopus subject areas

  • Information Systems
  • Signal Processing

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