Probability of Resolution of Partially Relaxed DML an Asymptotic Approach
The Partial Relaxation approach has recently been proposed to solve the Direction-of-Arrival estimation problem [1], [2]. In this paper, we investigate the outlier production mechanism of the Partially Relaxed Deterministic Maximum Likelihood (PR-DML) Direction-of-Arrival estimator using tools from...
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ftzenodo:oai:zenodo.org:3673909 2023-05-15T16:01:12+02:00 Probability of Resolution of Partially Relaxed DML an Asymptotic Approach Schenck, David Mestre, Xavier Pesavento, Marius 2019-12-15 https://zenodo.org/record/3673909 https://doi.org/10.5281/zenodo.3673909 eng eng doi:10.5281/zenodo.3673908 https://zenodo.org/record/3673909 https://doi.org/10.5281/zenodo.3673909 oai:zenodo.org:3673909 info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by/4.0/legalcode NO KEYWORDS info:eu-repo/semantics/conferencePaper publication-conferencepaper 2019 ftzenodo https://doi.org/10.5281/zenodo.367390910.5281/zenodo.3673908 2023-03-11T02:56:16Z The Partial Relaxation approach has recently been proposed to solve the Direction-of-Arrival estimation problem [1], [2]. In this paper, we investigate the outlier production mechanism of the Partially Relaxed Deterministic Maximum Likelihood (PR-DML) Direction-of-Arrival estimator using tools from Random Matrix Theory. Instead of applying a single source approximation to multi-source estimation criteria, which is the case for the MUSIC algorithm, the conventional beamformer, or the Capon beamformer, the Partial Relaxation approach accountsfor the existence of multiple sources using a non-parametric modification of the signal model. In this paper, an accurate description of the probability of resolution for the PR-DML estimator is provided by analyzing the asymptotic behavior of the PR-DML cost function, assuming that both the number of antennas and the number of snapshots increase without bound at the same rate. The finite dimensional distribution of the PR-DML cost function is shown to be Gaussian in this asymptotic regime and this result is used to compute the probability of resolution. Grant numbers : This work was supported in part by the Catalan Government under grant 2017-SGR-01479. Conference Object DML Zenodo |
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NO KEYWORDS Schenck, David Mestre, Xavier Pesavento, Marius Probability of Resolution of Partially Relaxed DML an Asymptotic Approach |
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The Partial Relaxation approach has recently been proposed to solve the Direction-of-Arrival estimation problem [1], [2]. In this paper, we investigate the outlier production mechanism of the Partially Relaxed Deterministic Maximum Likelihood (PR-DML) Direction-of-Arrival estimator using tools from Random Matrix Theory. Instead of applying a single source approximation to multi-source estimation criteria, which is the case for the MUSIC algorithm, the conventional beamformer, or the Capon beamformer, the Partial Relaxation approach accountsfor the existence of multiple sources using a non-parametric modification of the signal model. In this paper, an accurate description of the probability of resolution for the PR-DML estimator is provided by analyzing the asymptotic behavior of the PR-DML cost function, assuming that both the number of antennas and the number of snapshots increase without bound at the same rate. The finite dimensional distribution of the PR-DML cost function is shown to be Gaussian in this asymptotic regime and this result is used to compute the probability of resolution. Grant numbers : This work was supported in part by the Catalan Government under grant 2017-SGR-01479. |
format |
Conference Object |
author |
Schenck, David Mestre, Xavier Pesavento, Marius |
author_facet |
Schenck, David Mestre, Xavier Pesavento, Marius |
author_sort |
Schenck, David |
title |
Probability of Resolution of Partially Relaxed DML an Asymptotic Approach |
title_short |
Probability of Resolution of Partially Relaxed DML an Asymptotic Approach |
title_full |
Probability of Resolution of Partially Relaxed DML an Asymptotic Approach |
title_fullStr |
Probability of Resolution of Partially Relaxed DML an Asymptotic Approach |
title_full_unstemmed |
Probability of Resolution of Partially Relaxed DML an Asymptotic Approach |
title_sort |
probability of resolution of partially relaxed dml an asymptotic approach |
publishDate |
2019 |
url |
https://zenodo.org/record/3673909 https://doi.org/10.5281/zenodo.3673909 |
genre |
DML |
genre_facet |
DML |
op_relation |
doi:10.5281/zenodo.3673908 https://zenodo.org/record/3673909 https://doi.org/10.5281/zenodo.3673909 oai:zenodo.org:3673909 |
op_rights |
info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by/4.0/legalcode |
op_doi |
https://doi.org/10.5281/zenodo.367390910.5281/zenodo.3673908 |
_version_ |
1766397164780519424 |