Abstract
The normal operations of radar systems and communication systems under the condition of spectrum coexistence are facing a huge challenge. This paper uses game theory to study power allocation problems between multistatic multiple-input multiple-output (MIMO) radars and downlink communication. In the case of spectrum coexistence, radars, base station (BS) and multi-user (MU) have the working state of receiving and transmitting signals, which can cause unnecessary interferences to different systems. Therefore, when they work together, they should try to suppress mutual interferences. Firstly, the signal from BS is considered as interference when radar detects and tracks targets. A supermodular power allocation game (PAG) model is established and the existence and uniqueness of the Nash equilibrium (NE) in this game are proved. In addition, the power allocation problem from BS to MU is also analyzed, and two Stackelberg PAG models are constructed. It is proved that the NE of each game exists and is unique. Simultaneously, two Stackelberg power allocation iterative algorithms converge to the NEs. Finally, numerical results verify the convergence of the proposed PAG algorithms.
Highlights
Both radar systems and communication systems work with radio signals
It is assumed that each radar has the same number of transmit and receive antennas, and the distance between adjacent elements is half wavelength in the multistatic multiple-input multiple-output (MIMO) radar system
This paper studies the game problem between a multistatic MIMO radar system and an MU
Summary
Both radar systems and communication systems work with radio signals. Due to the lack of radio spectrum resources, radar and communication usually have to work under the same spectrum resources at the same time. In [21], a Stackelberg game is used to study the power allocation problem of multistatic radar and communication system under spectrum coexistence. With regard to the power control problem of time of arrival (TOA), the authors of [34] establish a supermodular game They propose a distributed power allocation algorithm based on the supermodular game and prove that there is a unique NE solution. The authors of [37] use cooperative game theory to study an optimal power allocation problem of distributed MIMO radar network under target tracking, and verify that the cooperative game power allocation method is superior to random power allocation and uniform power allocation.
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