Machine Learning Methods for Super-Resolution in Sparse Sensor Arrays

Due to their robustness to weather and environmental conditions, radars are an important sensor in automotive and industrial applications. However, their utility in more advanced applications is increasingly limited by their resolution, which increases linearly with the number of radar elements in a...

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Main Author: Jin, Mumin
Other Authors: Wornell, Gregory
Format: Thesis
Published: Massachusetts Institute of Technology 2022
Online Access:https://hdl.handle.net/1721.1/139026
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author Jin, Mumin
author2 Wornell, Gregory
author_facet Wornell, Gregory
Jin, Mumin
author_sort Jin, Mumin
collection MIT
description Due to their robustness to weather and environmental conditions, radars are an important sensor in automotive and industrial applications. However, their utility in more advanced applications is increasingly limited by their resolution, which increases linearly with the number of radar elements in a uniform linear array (ULA). In this work, neural networks are trained to approximate the signals from a large aperture array from the signals obtained from smaller aperture sub-arrays. The training set consists of simulated radar responses to ideal point reflectors in noiseless vacuum, and the network is trained to minimize the squared error between the network output and the normalized log-magnitude of the large aperture array signal in its Fourier Transform domain. In general, given signals from two sets of 12-element sub-arrays, the neural network can reproduce results more than 10 times closer to the signals of the 1024-element array than signals from either of the input sub-array in terms of squared error in the Transform domain. The outputs of the neural network have over 91.97% probabilityof detection, 𝑃𝐷, with 1.02% probability of false alarm, 𝑃𝐹𝐴, compared to 67.53% 𝑃𝐷 and 5.57% 𝑃𝐹𝐴 with data from either sub-array. The results show the possibility for extracting more information by exploiting structure in real-world data with inexpensive, small sensors, and have major implications for the use of radar sensors in the automotive and industrial applications.
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spelling mit-1721.1/1390262022-01-15T04:10:46Z Machine Learning Methods for Super-Resolution in Sparse Sensor Arrays Jin, Mumin Wornell, Gregory Yellepeddi, Atulya Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Due to their robustness to weather and environmental conditions, radars are an important sensor in automotive and industrial applications. However, their utility in more advanced applications is increasingly limited by their resolution, which increases linearly with the number of radar elements in a uniform linear array (ULA). In this work, neural networks are trained to approximate the signals from a large aperture array from the signals obtained from smaller aperture sub-arrays. The training set consists of simulated radar responses to ideal point reflectors in noiseless vacuum, and the network is trained to minimize the squared error between the network output and the normalized log-magnitude of the large aperture array signal in its Fourier Transform domain. In general, given signals from two sets of 12-element sub-arrays, the neural network can reproduce results more than 10 times closer to the signals of the 1024-element array than signals from either of the input sub-array in terms of squared error in the Transform domain. The outputs of the neural network have over 91.97% probabilityof detection, 𝑃𝐷, with 1.02% probability of false alarm, 𝑃𝐹𝐴, compared to 67.53% 𝑃𝐷 and 5.57% 𝑃𝐹𝐴 with data from either sub-array. The results show the possibility for extracting more information by exploiting structure in real-world data with inexpensive, small sensors, and have major implications for the use of radar sensors in the automotive and industrial applications. M.Eng. 2022-01-14T14:45:24Z 2022-01-14T14:45:24Z 2021-06 2021-06-17T20:13:24.377Z Thesis https://hdl.handle.net/1721.1/139026 In Copyright - Educational Use Permitted Copyright MIT http://rightsstatements.org/page/InC-EDU/1.0/ application/pdf Massachusetts Institute of Technology
spellingShingle Jin, Mumin
Machine Learning Methods for Super-Resolution in Sparse Sensor Arrays
title Machine Learning Methods for Super-Resolution in Sparse Sensor Arrays
title_full Machine Learning Methods for Super-Resolution in Sparse Sensor Arrays
title_fullStr Machine Learning Methods for Super-Resolution in Sparse Sensor Arrays
title_full_unstemmed Machine Learning Methods for Super-Resolution in Sparse Sensor Arrays
title_short Machine Learning Methods for Super-Resolution in Sparse Sensor Arrays
title_sort machine learning methods for super resolution in sparse sensor arrays
url https://hdl.handle.net/1721.1/139026
work_keys_str_mv AT jinmumin machinelearningmethodsforsuperresolutioninsparsesensorarrays