Game-Theoretic Power Allocation and the Nash Equilibrium Analysis for a Multistatic MIMO Radar Network
| Autor: | Anastasia Panoui, Sangarapillai Lambotharan, Anastasios Deligiannis, Jonathon A. Chambers |
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| Rok vydání: | 2017 |
| Předmět: |
Computer Science::Computer Science and Game Theory
020301 aerospace & aeronautics Mathematical optimization Computer science 020206 networking & telecommunications 02 engineering and technology symbols.namesake 0203 mechanical engineering Nash equilibrium Best response Signal Processing Convex optimization 0202 electrical engineering electronic engineering information engineering symbols Electrical and Electronic Engineering Game theory |
| Zdroj: | IEEE Transactions on Signal Processing. 65:6397-6408 |
| ISSN: | 1941-0476 1053-587X |
| Popis: | We investigate a game-theoretic power allocation scheme and perform a Nash equilibrium analysis for a multistatic multiple-input multiple-output radar network. We consider a network of radars, organized into multiple clusters, whose primary objective is to minimize their transmission power, while satisfying a certain detection criterion. Since there is no communication between the distributed clusters, we incorporate convex optimization methods and noncooperative game-theoretic techniques based on the estimate of the signal-to-interference-plus-noise ratio (SINR) to tackle the power adaptation problem. Therefore, each cluster egotistically determines its optimal power allocation in a distributed scheme. Furthermore, we prove that the best response function of each cluster regarding this generalized Nash game belongs to the framework of standard functions. The standard function property together with the proof of the existence of the solution for the game guarantees the uniqueness of the Nash equilibrium. The mathematical analysis based on Karush–Kuhn–Tucker conditions reveals some interesting results in terms of the number of active radars and the number of radars that over satisfy the desired SINRs. Finally, the simulation results confirm the convergence of the algorithm to the unique solution and demonstrate the distributed nature of the system. |
| Databáze: | OpenAIRE |
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