The MIMO Radar and Jammer Games

Song, Xiufeng; Willett, Peter; Zhou, Shengli; Luh, Peter B.

doi:10.1109/tsp.2011.2169251

Cited by 171 publications

(130 citation statements)

References 38 publications

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“…As a Hermitian matrix is determined by its eigenvectors and eigenvalues, the TPZS game actually implies two parts: eigenspace selection (where to play) and eigenvalue optimization (how to allocate power). Conservatively, if one player could not precisely infer the other's power allocation, staying at the eigenspace defined by Rw would be a secure choice [2].…”

Section: Mimo Radar Vs Jammer Under MI Criterionmentioning

confidence: 99%

“…Proof: Proof can be found in [2] The existence of a NE depends on K, nt, Pn, and P b . As for K > nt, it may not always exist.…”

Section: Games With Symmetric Informationmentioning

confidence: 99%

“…A MIMO radar emphasizes spatial complementarity and waveform cooperation, and it may outperform a monostatic one on detection, estimation, and information extraction [1][2][3][4]. Current works prefer to investigate the interaction between a smart radar and a dumb target, where the former has some knowledge of the latter such as radar cross section distribution, while the latter is incapable of interfering with the former.…”

Section: Introductionmentioning

confidence: 99%

“…This paper focuses on selected parts of [2]; the remaining sections are as follows. Section 2 introduces the MIMO radar signal model, and specifies the game criterion.…”

Section: Introductionmentioning

confidence: 99%

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The power game between a MIMO radar and jammer

Song

Willett

Zhou

et al. 2012

2012 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)

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The interaction between a smart target and a smart MIMO radar is investigated from a game theory perspective. Since the target and the radar form an adversarial system, their interaction is modeled as a two-person zero-sum game. The mutual information criterion is used to formulate the utility functions. The unilateral, hierarchical, and symmetric games are studied, and the equilibria solutions are derived.

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Section: Mimo Radar Vs Jammer Under MI Criterionmentioning

confidence: 99%

“…Proof: Proof can be found in [2] The existence of a NE depends on K, nt, Pn, and P b . As for K > nt, it may not always exist.…”

Section: Games With Symmetric Informationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…This paper focuses on selected parts of [2]; the remaining sections are as follows. Section 2 introduces the MIMO radar signal model, and specifies the game criterion.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

The power game between a MIMO radar and jammer

Song

Willett

Zhou

et al. 2012

2012 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)

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“…In recent years, multiple-input multiple-output (MIMO) radar techniques [2][3][4][5][6][7] have been applied to the OTH radar. In [8], a novel technique is developed for altitude estimation of a maneuvering target using a MIMO-OTH radar.…”

Section: Introductionmentioning

confidence: 99%

Performance bounds for joint estimation of ionospheric and target parameters in MIMO-OTH radar

et al. 2014

2014 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)

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Ionospheric information is required when estimating target parameters in skywave over-the-horizon (OTH) radar. Unlike the traditional OTH radar which uses only the measurements of ionospheric parameters obtained from an ionosonde to estimate the target parameters, the multiple-input multipleoutput skywave OTH (MIMO-OTH) radar studied in this paper estimates the ionospheric and target parameters jointly by exploiting the data received by both the ionosonde and the radar receivers. Two scenarios where the prior distribution of the ionospheric parameters is either known or unknown are considered. For the case when ionospheric parameter prior distribution is unknown, the joint maximum likelihood (JML) estimator is investigated and the Cramér-Rao bound (CRB) is derived. For the case when the ionospheric parameter prior distribution is known, the hybrid maximum likelihood and the maximum a posteriori (ML/MAP) estimator is studied and the hybrid Cramér-Rao bound (HCRB) is developed.

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Power allocation for target detection in radar networks based on low probability of intercept: A cooperative game theoretical strategy

et al. 2017

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Distributed radar network systems have been shown to have many unique features. Due to their advantage of signal and spatial diversities, radar networks are attractive for target detection. In practice, the netted radars in radar networks are supposed to maximize their transmit power to achieve better detection performance, which may be in contradiction with low probability of intercept (LPI). Therefore, this paper investigates the problem of adaptive power allocation for radar networks in a cooperative game‐theoretic framework such that the LPI performance can be improved. Taking into consideration both the transmit power constraints and the minimum signal to interference plus noise ratio (SINR) requirement of each radar, a cooperative Nash bargaining power allocation game based on LPI is formulated, whose objective is to minimize the total transmit power by optimizing the power allocation in radar networks. First, a novel SINR‐based network utility function is defined and utilized as a metric to evaluate power allocation. Then, with the well‐designed network utility function, the existence and uniqueness of the Nash bargaining solution are proved analytically. Finally, an iterative Nash bargaining algorithm is developed that converges quickly to a Pareto optimal equilibrium for the cooperative game. Numerical simulations and theoretic analysis are provided to evaluate the effectiveness of the proposed algorithm.

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The MIMO Radar and Jammer Games

Cited by 171 publications

References 38 publications

The power game between a MIMO radar and jammer

The power game between a MIMO radar and jammer

Performance bounds for joint estimation of ionospheric and target parameters in MIMO-OTH radar

Power allocation for target detection in radar networks based on low probability of intercept: A cooperative game theoretical strategy

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