Asymptotic Stochastic Analysis of Partially Relaxed DML
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:3994467 2023-05-15T16:01:08+02:00 Asymptotic Stochastic Analysis of Partially Relaxed DML Schenck, David Mestre, Xavier Pesavento, Marius 2020-05-04 https://zenodo.org/record/3994467 https://doi.org/10.1109/ICASSP40776.2020.9053259 eng eng https://zenodo.org/record/3994467 https://doi.org/10.1109/ICASSP40776.2020.9053259 oai:zenodo.org:3994467 info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by/4.0/legalcode info:eu-repo/semantics/conferencePaper publication-conferencepaper 2020 ftzenodo https://doi.org/10.1109/ICASSP40776.2020.9053259 2023-03-11T01:44:55Z 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. An accurate description of the probability of resolution for the PR-DML estimator is provided by analyzing the asymptotic stochastic 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. NO ACK. Conference Object DML Zenodo ICASSP 2020 - 2020 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) 4920 4924 |
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English |
description |
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. An accurate description of the probability of resolution for the PR-DML estimator is provided by analyzing the asymptotic stochastic 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. NO ACK. |
format |
Conference Object |
author |
Schenck, David Mestre, Xavier Pesavento, Marius |
spellingShingle |
Schenck, David Mestre, Xavier Pesavento, Marius Asymptotic Stochastic Analysis of Partially Relaxed DML |
author_facet |
Schenck, David Mestre, Xavier Pesavento, Marius |
author_sort |
Schenck, David |
title |
Asymptotic Stochastic Analysis of Partially Relaxed DML |
title_short |
Asymptotic Stochastic Analysis of Partially Relaxed DML |
title_full |
Asymptotic Stochastic Analysis of Partially Relaxed DML |
title_fullStr |
Asymptotic Stochastic Analysis of Partially Relaxed DML |
title_full_unstemmed |
Asymptotic Stochastic Analysis of Partially Relaxed DML |
title_sort |
asymptotic stochastic analysis of partially relaxed dml |
publishDate |
2020 |
url |
https://zenodo.org/record/3994467 https://doi.org/10.1109/ICASSP40776.2020.9053259 |
genre |
DML |
genre_facet |
DML |
op_relation |
https://zenodo.org/record/3994467 https://doi.org/10.1109/ICASSP40776.2020.9053259 oai:zenodo.org:3994467 |
op_rights |
info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by/4.0/legalcode |
op_doi |
https://doi.org/10.1109/ICASSP40776.2020.9053259 |
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ICASSP 2020 - 2020 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) |
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4920 |
op_container_end_page |
4924 |
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1766397124156588032 |