Brain Signals Localization by Alternating Projections

We present a novel solution to the problem of localization of brain signals. The solution is sequential and iterative, and is based on minimizing the least-squares (LS) criterion by the alternating projection (AP) algorithm, well known in the context of array signal processing. Unlike existing solut...

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Main Authors: Adler, Amir, Wax, Mati, Pantazis, Dimitrios
Format: Technical Report
Published: Center for Brains, Minds and Machines (CBMM), arXiv 2019
Online Access:https://hdl.handle.net/1721.1/122034
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author Adler, Amir
Wax, Mati
Pantazis, Dimitrios
author_facet Adler, Amir
Wax, Mati
Pantazis, Dimitrios
author_sort Adler, Amir
collection MIT
description We present a novel solution to the problem of localization of brain signals. The solution is sequential and iterative, and is based on minimizing the least-squares (LS) criterion by the alternating projection (AP) algorithm, well known in the context of array signal processing. Unlike existing solutions belonging to the linearly constrained minimum variance (LCMV) and to the multiple-signal classification (MUSIC) families, the algorithm is applicable even in the case of a single sample and in the case of synchronous sources. The performance of the solution is demonstrated via simulations.
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institution Massachusetts Institute of Technology
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spelling mit-1721.1/1220342019-09-03T17:26:46Z Brain Signals Localization by Alternating Projections Adler, Amir Wax, Mati Pantazis, Dimitrios We present a novel solution to the problem of localization of brain signals. The solution is sequential and iterative, and is based on minimizing the least-squares (LS) criterion by the alternating projection (AP) algorithm, well known in the context of array signal processing. Unlike existing solutions belonging to the linearly constrained minimum variance (LCMV) and to the multiple-signal classification (MUSIC) families, the algorithm is applicable even in the case of a single sample and in the case of synchronous sources. The performance of the solution is demonstrated via simulations. This work was supported by the Center for Brains, Minds and Machines (CBMM), funded by NSF STC award CCF-1231216. 2019-09-03T17:26:45Z 2019-09-03T17:26:45Z 2019-08-29 Technical Report Working Paper Other https://hdl.handle.net/1721.1/122034 CBMM Memo;099 application/pdf Center for Brains, Minds and Machines (CBMM), arXiv
spellingShingle Adler, Amir
Wax, Mati
Pantazis, Dimitrios
Brain Signals Localization by Alternating Projections
title Brain Signals Localization by Alternating Projections
title_full Brain Signals Localization by Alternating Projections
title_fullStr Brain Signals Localization by Alternating Projections
title_full_unstemmed Brain Signals Localization by Alternating Projections
title_short Brain Signals Localization by Alternating Projections
title_sort brain signals localization by alternating projections
url https://hdl.handle.net/1721.1/122034
work_keys_str_mv AT adleramir brainsignalslocalizationbyalternatingprojections
AT waxmati brainsignalslocalizationbyalternatingprojections
AT pantazisdimitrios brainsignalslocalizationbyalternatingprojections