Compressive Sensing and Its Applications

A special issue of Signals (ISSN 2624-6120).

Deadline for manuscript submissions: closed (30 June 2022) | Viewed by 4550

Special Issue Editors


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Guest Editor
Electrical and Computer Engineering Department, Utah State University, Logan, UT 84322, USA
Interests: statistical signal processing; digital communications; error correction coding; machine learning
Special Issues, Collections and Topics in MDPI journals

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Guest Editor
Electrical and Computer Engineering Department, Utah Valley University, Orem, UT 84058, USA
Interests: variational bayes; compressive sensing; statistical signal processing; machine learning

Special Issue Information

Dear Colleagues,

The advancement of compressive sensing and sparse signal processing has received a lot of attention in academia and industry over the last two decades. This technique allows efficient sub-Nyquist sampling with reasonable accuracy by smartly collecting the important information of the underlying sparse/compressible signal and reconstruct the signal using sparse recovery algorithms. There have been many works related to the theory of compressive sensing, including sampling methods, and the associated reconstruction algorithms via convex optimization, sparse Bayesian learning, and greedy algorithms. However, due to the wide applicability of compressive sensing, there is still room for advancements on the theoretical aspects of sensing methods and the reconstruction algorithms to make the overall processing more efficient and with higher accuracy.  There are also opportunities for developments which exploit the particular properties of underlying signal models.  With the wide applications of compressive sensing in areas such as imaging, biomedical engineering, mining engineering, civil engineering, and many more, various scientists and engineering have been attracted to the compressive sensing technique.

This special issue of Signals aims to be a forum for presentation of new, improved, and developing techniques in the general area of compressive sensing.

This Special Issue will accept unpublished original papers and comprehensive reviews with topics related to the following areas:


- The theory and advancement of compressive sensing

- Detection and estimation of signals using compressive sensing

- Sparse recovery using variational Bayes inference, MCMC method, etc.

- Compressive sensing using machine learning methods (supervised and unsupervised)

- Recent applications of compressive sensing

- Implementation of compressive sensing in real-world problems such as communications, Radar, camera, video, biomedical engineering, etc.

- Application of compressive sensing in big-data

- Statistical modeling techniques for compressive sensing and sparse signal recovery

- Review on the compressive sensing theory and applications

- Hardware implementation of compressive sensing

- Deep compressive sensing

Dr. Mohammad Shekaramiz
Prof. Dr. Todd K. Moon
Guest Editors

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Published Papers (2 papers)

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Research

13 pages, 520 KiB  
Article
Application of Compressive Sensing in the Presence of Noise for Transient Photometric Events
by Asmita Korde-Patel, Richard K. Barry and Tinoosh Mohsenin
Signals 2022, 3(4), 794-806; https://doi.org/10.3390/signals3040047 - 2 Nov 2022
Viewed by 1529
Abstract
Compressive sensing is a simultaneous data acquisition and compression technique, which can significantly reduce data bandwidth, data storage volume, and power. We apply this technique for transient photometric events. In this work, we analyze the effect of noise on the detection of these [...] Read more.
Compressive sensing is a simultaneous data acquisition and compression technique, which can significantly reduce data bandwidth, data storage volume, and power. We apply this technique for transient photometric events. In this work, we analyze the effect of noise on the detection of these events using compressive sensing (CS). We show numerical results on the impact of source and measurement noise on the reconstruction of transient photometric curves, generated due to gravitational microlensing events. In our work, we define source noise as background noise, or any inherent noise present in the sampling region of interest. For our models, measurement noise is defined as the noise present during data acquisition. These results can be generalized for any transient photometric CS measurements with source noise and CS data acquisition measurement noise. Our results show that the CS measurement matrix properties have an effect on CS reconstruction in the presence of source noise and measurement noise. We provide potential solutions for improving the performance by tuning some of the properties of the measurement matrices. For source noise applications, we show that choosing a measurement matrix with low mutual coherence can lower the amount of error caused due to CS reconstruction. Similarly, for measurement noise addition, we show that by choosing a lower expected value of the binomial measurement matrix, we can lower the amount of error due to CS reconstruction. Full article
(This article belongs to the Special Issue Compressive Sensing and Its Applications)
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18 pages, 1357 KiB  
Article
Compressive Sensing Based Space Flight Instrument Constellation for Measuring Gravitational Microlensing Parallax
by Asmita Korde-Patel, Richard K. Barry and Tinoosh Mohsenin
Signals 2022, 3(3), 559-576; https://doi.org/10.3390/signals3030034 - 15 Aug 2022
Cited by 1 | Viewed by 1634
Abstract
In this work, we provide a compressive sensing architecture for implementing on a space based observatory for detecting transient photometric parallax caused by gravitational microlensing events. Compressive sensing (CS) is a simultaneous data acquisition and compression technique, which can greatly reduce on-board resources [...] Read more.
In this work, we provide a compressive sensing architecture for implementing on a space based observatory for detecting transient photometric parallax caused by gravitational microlensing events. Compressive sensing (CS) is a simultaneous data acquisition and compression technique, which can greatly reduce on-board resources required for space flight data storage and ground transmission. We simulate microlensing parallax observations using a space observatory constellation, based on CS detectors. Our results show that average CS error is less than 0.5% using 25% Nyquist rate samples. The error at peak magnification time is significantly lower than the error for distinguishing any two microlensing parallax curves at their peak magnification. Thus, CS is an enabling technology for detecting microlensing parallax, without causing any loss in detection accuracy. Full article
(This article belongs to the Special Issue Compressive Sensing and Its Applications)
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