Scaling laws and phase transitions for target detection in MIMO radar

Lu Wei; Zhong Zheng; Alfred Hero; Vahid Tarokh

doi:10.1109/ITW.2016.7606853

Scaling laws and phase transitions for target detection in MIMO radar

Lu Wei, Zhong Zheng, Alfred Hero, Vahid Tarokh

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Citation (Scopus)

Abstract

The performance of MIMO radar has been a subject of intense study in the past decades. For such a system, however, the important phenomenon of phase transition has received little attention in the literature. In this paper, we study the phase transition on the target detection probability of a SNR maximizing detector. Such a detector declares a target to be present when the largest eigenvalue of the observed data matrix exceeds a threshold. In particular, we identify a critical value below and above which the limiting detection performance is described by the Tracy-Widom law and the Gaussian law, respectively. Under both laws, the scaling limits and asymptotic expansions of misdetection probability at the vanishing regime are derived using tools from random matrix theory.

Original language	English
Title of host publication	2016 IEEE Information Theory Workshop, ITW 2016
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	345-348
Number of pages	4
ISBN (Electronic)	9781509010905
DOIs	https://doi.org/10.1109/ITW.2016.7606853
Publication status	Published - 21 Oct 2016
Externally published	Yes
Event	2016 IEEE Information Theory Workshop, ITW 2016 - Cambridge, United Kingdom Duration: 11 Sept 2016 → 14 Sept 2016

Publication series

Name	2016 IEEE Information Theory Workshop, ITW 2016

Conference

Conference	2016 IEEE Information Theory Workshop, ITW 2016
Country/Territory	United Kingdom
City	Cambridge
Period	11/09/16 → 14/09/16

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10.1109/ITW.2016.7606853

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title = "Scaling laws and phase transitions for target detection in MIMO radar",

abstract = "The performance of MIMO radar has been a subject of intense study in the past decades. For such a system, however, the important phenomenon of phase transition has received little attention in the literature. In this paper, we study the phase transition on the target detection probability of a SNR maximizing detector. Such a detector declares a target to be present when the largest eigenvalue of the observed data matrix exceeds a threshold. In particular, we identify a critical value below and above which the limiting detection performance is described by the Tracy-Widom law and the Gaussian law, respectively. Under both laws, the scaling limits and asymptotic expansions of misdetection probability at the vanishing regime are derived using tools from random matrix theory.",

author = "Lu Wei and Zhong Zheng and Alfred Hero and Vahid Tarokh",

note = "Publisher Copyright: {\textcopyright} 2016 IEEE.; 2016 IEEE Information Theory Workshop, ITW 2016 ; Conference date: 11-09-2016 Through 14-09-2016",

year = "2016",

month = oct,

day = "21",

doi = "10.1109/ITW.2016.7606853",

language = "English",

series = "2016 IEEE Information Theory Workshop, ITW 2016",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "345--348",

booktitle = "2016 IEEE Information Theory Workshop, ITW 2016",

address = "United States",

}

Wei, L, Zheng, Z, Hero, A & Tarokh, V 2016, Scaling laws and phase transitions for target detection in MIMO radar. in 2016 IEEE Information Theory Workshop, ITW 2016., 7606853, 2016 IEEE Information Theory Workshop, ITW 2016, Institute of Electrical and Electronics Engineers Inc., pp. 345-348, 2016 IEEE Information Theory Workshop, ITW 2016, Cambridge, United Kingdom, 11/09/16. https://doi.org/10.1109/ITW.2016.7606853

Scaling laws and phase transitions for target detection in MIMO radar. / Wei, Lu; Zheng, Zhong; Hero, Alfred et al.
2016 IEEE Information Theory Workshop, ITW 2016. Institute of Electrical and Electronics Engineers Inc., 2016. p. 345-348 7606853 (2016 IEEE Information Theory Workshop, ITW 2016).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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T1 - Scaling laws and phase transitions for target detection in MIMO radar

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N2 - The performance of MIMO radar has been a subject of intense study in the past decades. For such a system, however, the important phenomenon of phase transition has received little attention in the literature. In this paper, we study the phase transition on the target detection probability of a SNR maximizing detector. Such a detector declares a target to be present when the largest eigenvalue of the observed data matrix exceeds a threshold. In particular, we identify a critical value below and above which the limiting detection performance is described by the Tracy-Widom law and the Gaussian law, respectively. Under both laws, the scaling limits and asymptotic expansions of misdetection probability at the vanishing regime are derived using tools from random matrix theory.

AB - The performance of MIMO radar has been a subject of intense study in the past decades. For such a system, however, the important phenomenon of phase transition has received little attention in the literature. In this paper, we study the phase transition on the target detection probability of a SNR maximizing detector. Such a detector declares a target to be present when the largest eigenvalue of the observed data matrix exceeds a threshold. In particular, we identify a critical value below and above which the limiting detection performance is described by the Tracy-Widom law and the Gaussian law, respectively. Under both laws, the scaling limits and asymptotic expansions of misdetection probability at the vanishing regime are derived using tools from random matrix theory.

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Y2 - 11 September 2016 through 14 September 2016

ER -

Scaling laws and phase transitions for target detection in MIMO radar

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