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Designing Constrained Projections for Compressed Sensing: Mean Errors and Anomalies with Coherence

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.

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Paper Details

Authors:
Dhruv Shah, Alankar Kotwal, Ajit Rajwade
Submitted On:
20 November 2018 - 2:42am
Short Link:
Type:
Poster
Event:
Presenter's Name:
Ajit Rajwade
Paper Code:
1087
Document Year:
2018
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Document Files

globalsip2018_poster_v3.pdf

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[1] Dhruv Shah, Alankar Kotwal, Ajit Rajwade, "Designing Constrained Projections for Compressed Sensing: Mean Errors and Anomalies with Coherence", IEEE SigPort, 2018. [Online]. Available: http://sigport.org/3670. Accessed: Dec. 16, 2018.
@article{3670-18,
url = {http://sigport.org/3670},
author = {Dhruv Shah; Alankar Kotwal; Ajit Rajwade },
publisher = {IEEE SigPort},
title = {Designing Constrained Projections for Compressed Sensing: Mean Errors and Anomalies with Coherence},
year = {2018} }
TY - EJOUR
T1 - Designing Constrained Projections for Compressed Sensing: Mean Errors and Anomalies with Coherence
AU - Dhruv Shah; Alankar Kotwal; Ajit Rajwade
PY - 2018
PB - IEEE SigPort
UR - http://sigport.org/3670
ER -
Dhruv Shah, Alankar Kotwal, Ajit Rajwade. (2018). Designing Constrained Projections for Compressed Sensing: Mean Errors and Anomalies with Coherence. IEEE SigPort. http://sigport.org/3670
Dhruv Shah, Alankar Kotwal, Ajit Rajwade, 2018. Designing Constrained Projections for Compressed Sensing: Mean Errors and Anomalies with Coherence. Available at: http://sigport.org/3670.
Dhruv Shah, Alankar Kotwal, Ajit Rajwade. (2018). "Designing Constrained Projections for Compressed Sensing: Mean Errors and Anomalies with Coherence." Web.
1. Dhruv Shah, Alankar Kotwal, Ajit Rajwade. Designing Constrained Projections for Compressed Sensing: Mean Errors and Anomalies with Coherence [Internet]. IEEE SigPort; 2018. Available from : http://sigport.org/3670