Schenck, David ; Mestre, Xavier ; Pesavento, Marius (2022)
Probability of Resolution of MUSIC and g-MUSIC: An Asymptotic Approach.
In: IEEE Transactions on Signal Processing, 70
doi: 10.1109/TSP.2022.3178820
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
In this article, the outlier production mechanism of the conventional Multiple Signal Classification (MUSIC) and the g-MUSIC Direction-of-Arrival (DoA) estimation technique is investigated using tools from Random Matrix Theory (RMT). A general Central Limit Theorem (CLT) is derived that allows to analyze the asymptotic stochastic behavior of eigenvector-based cost functions in the asymptotic regime where the number of snapshots and the number of antennas increase without bound at the same rate. Furthermore, this CLT is used to provide an accurate prediction of the resolution capabilities of the MUSIC and the g-MUSIC DoA estimation method. The finite dimensional distribution of the MUSIC and the g-MUSIC cost function is shown to be asymptotically jointly Gaussian distributed in this asymptotic regime.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2022 |
| Autor(en): | Schenck, David ; Mestre, Xavier ; Pesavento, Marius |
| Art des Eintrags: | Bibliographie |
| Titel: | Probability of Resolution of MUSIC and g-MUSIC: An Asymptotic Approach |
| Sprache: | Englisch |
| Publikationsjahr: | 30 Mai 2022 |
| Verlag: | IEEE |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | IEEE Transactions on Signal Processing |
| Jahrgang/Volume einer Zeitschrift: | 70 |
| DOI: | 10.1109/TSP.2022.3178820 |
| URL / URN: | https://ieeexplore.ieee.org/document/9784869 |
| Kurzbeschreibung (Abstract): | In this article, the outlier production mechanism of the conventional Multiple Signal Classification (MUSIC) and the g-MUSIC Direction-of-Arrival (DoA) estimation technique is investigated using tools from Random Matrix Theory (RMT). A general Central Limit Theorem (CLT) is derived that allows to analyze the asymptotic stochastic behavior of eigenvector-based cost functions in the asymptotic regime where the number of snapshots and the number of antennas increase without bound at the same rate. Furthermore, this CLT is used to provide an accurate prediction of the resolution capabilities of the MUSIC and the g-MUSIC DoA estimation method. The finite dimensional distribution of the MUSIC and the g-MUSIC cost function is shown to be asymptotically jointly Gaussian distributed in this asymptotic regime. |
| Zusätzliche Informationen: | DFG-PRIDE |
| Fachbereich(e)/-gebiet(e): | 18 Fachbereich Elektrotechnik und Informationstechnik 18 Fachbereich Elektrotechnik und Informationstechnik > Institut für Nachrichtentechnik 18 Fachbereich Elektrotechnik und Informationstechnik > Institut für Nachrichtentechnik > Nachrichtentechnische Systeme |
| Hinterlegungsdatum: | 13 Jun 2022 09:43 |
| Letzte Änderung: | 22 Jul 2024 13:16 |
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