Deep Unfolding of Iteratively Reweighted ADMM for Wireless RF Sensing

We address the detection of material defects, which are inside a layered material structure using compressive sensing-based multiple-input and multiple-output (MIMO) wireless radar. Here, strong clutter due to the reflection of the layered structure’s surface often makes the detection of the defects...

Full description

Bibliographic Details
Main Authors: Udaya S. K. P. Miriya Thanthrige, Peter Jung, Aydin Sezgin
Format: Article
Language:English
Published: MDPI AG 2022-04-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/22/8/3065
_version_ 1797443716421517312
author Udaya S. K. P. Miriya Thanthrige
Peter Jung
Aydin Sezgin
author_facet Udaya S. K. P. Miriya Thanthrige
Peter Jung
Aydin Sezgin
author_sort Udaya S. K. P. Miriya Thanthrige
collection DOAJ
description We address the detection of material defects, which are inside a layered material structure using compressive sensing-based multiple-input and multiple-output (MIMO) wireless radar. Here, strong clutter due to the reflection of the layered structure’s surface often makes the detection of the defects challenging. Thus, sophisticated signal separation methods are required for improved defect detection. In many scenarios, the number of defects that we are interested in is limited, and the signaling response of the layered structure can be modeled as a low-rank structure. Therefore, we propose joint rank and sparsity minimization for defect detection. In particular, we propose a non-convex approach based on the iteratively reweighted nuclear and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mo>ℓ</mo><mn>1</mn></msub></mrow></semantics></math></inline-formula>-norm (a double-reweighted approach) to obtain a higher accuracy compared to the conventional nuclear norm and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mo>ℓ</mo><mn>1</mn></msub></mrow></semantics></math></inline-formula>-norm minimization. To this end, an iterative algorithm is designed to estimate the low-rank and sparse contributions. Further, we propose deep learning-based parameter tuning of the algorithm (i.e., algorithm unfolding) to improve the accuracy and the speed of convergence of the algorithm. Our numerical results show that the proposed approach outperforms the conventional approaches in terms of mean squared errors of the recovered low-rank and sparse components and the speed of convergence.
first_indexed 2024-03-09T13:02:03Z
format Article
id doaj.art-bf0867e5a0134d1b81a19a8fd9ca465d
institution Directory Open Access Journal
issn 1424-8220
language English
last_indexed 2024-03-09T13:02:03Z
publishDate 2022-04-01
publisher MDPI AG
record_format Article
series Sensors
spelling doaj.art-bf0867e5a0134d1b81a19a8fd9ca465d2023-11-30T21:53:42ZengMDPI AGSensors1424-82202022-04-01228306510.3390/s22083065Deep Unfolding of Iteratively Reweighted ADMM for Wireless RF SensingUdaya S. K. P. Miriya Thanthrige0Peter Jung1Aydin Sezgin2Institute of Digital Communication Systems, Ruhr University Bochum, 44801 Bochum, GermanyInstitute of Communications and Information Theory, Technical University Berlin, 10587 Berlin, GermanyInstitute of Digital Communication Systems, Ruhr University Bochum, 44801 Bochum, GermanyWe address the detection of material defects, which are inside a layered material structure using compressive sensing-based multiple-input and multiple-output (MIMO) wireless radar. Here, strong clutter due to the reflection of the layered structure’s surface often makes the detection of the defects challenging. Thus, sophisticated signal separation methods are required for improved defect detection. In many scenarios, the number of defects that we are interested in is limited, and the signaling response of the layered structure can be modeled as a low-rank structure. Therefore, we propose joint rank and sparsity minimization for defect detection. In particular, we propose a non-convex approach based on the iteratively reweighted nuclear and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mo>ℓ</mo><mn>1</mn></msub></mrow></semantics></math></inline-formula>-norm (a double-reweighted approach) to obtain a higher accuracy compared to the conventional nuclear norm and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mo>ℓ</mo><mn>1</mn></msub></mrow></semantics></math></inline-formula>-norm minimization. To this end, an iterative algorithm is designed to estimate the low-rank and sparse contributions. Further, we propose deep learning-based parameter tuning of the algorithm (i.e., algorithm unfolding) to improve the accuracy and the speed of convergence of the algorithm. Our numerical results show that the proposed approach outperforms the conventional approaches in terms of mean squared errors of the recovered low-rank and sparse components and the speed of convergence.https://www.mdpi.com/1424-8220/22/8/3065algorithm unfoldingclutter suppressiondefects detectioncompressive sensingreweighted norm
spellingShingle Udaya S. K. P. Miriya Thanthrige
Peter Jung
Aydin Sezgin
Deep Unfolding of Iteratively Reweighted ADMM for Wireless RF Sensing
Sensors
algorithm unfolding
clutter suppression
defects detection
compressive sensing
reweighted norm
title Deep Unfolding of Iteratively Reweighted ADMM for Wireless RF Sensing
title_full Deep Unfolding of Iteratively Reweighted ADMM for Wireless RF Sensing
title_fullStr Deep Unfolding of Iteratively Reweighted ADMM for Wireless RF Sensing
title_full_unstemmed Deep Unfolding of Iteratively Reweighted ADMM for Wireless RF Sensing
title_short Deep Unfolding of Iteratively Reweighted ADMM for Wireless RF Sensing
title_sort deep unfolding of iteratively reweighted admm for wireless rf sensing
topic algorithm unfolding
clutter suppression
defects detection
compressive sensing
reweighted norm
url https://www.mdpi.com/1424-8220/22/8/3065
work_keys_str_mv AT udayaskpmiriyathanthrige deepunfoldingofiterativelyreweightedadmmforwirelessrfsensing
AT peterjung deepunfoldingofiterativelyreweightedadmmforwirelessrfsensing
AT aydinsezgin deepunfoldingofiterativelyreweightedadmmforwirelessrfsensing