Abstract
Controlling the polarization states of transmit waveforms can improve the performance of radar systems, especially for main lobe jamming suppression applications. In this paper, we consider the design of optimal transmit polarizations for deceptive jamming suppression in the main lobe using a game theory framework. We propose a co-located polarization multiple-input multiple-output (MIMO) radar system that combines the advantages of MIMO radar and those offered by optimally choosing the transmit polarization to improve the jamming suppression performance. In the polarization MIMO radar, polarization diversity is employed in the transmit array, and 2-D vector sensors are adopted in the receive array to separately measure the horizontal and vertical components of the received signals. Furthermore, based on the concepts and advantages of game theory, we formulate a polarization design problem for this radar system as a two-player zero-sum (TPZS) game between the radar and jammers. Additionally, we propose two design methods for different cases: a unilateral game for dumb jammers, and a strategic game for smart jammers. The optimal strategy and Nash equilibrium solution for two cases are presented. The simulation results demonstrate that jamming can be effectively suppressed with the proposed radar configuration and that improved jamming suppression performance can be achieved when the transmit polarization scheme is designed using the game theory approach.
Highlights
With the rapid development of digital radio frequency memory (DRFM) technology [1], a DRFM repeated jammer can intercept radar transmit waveforms and generate replicas in random range bins and Doppler cells to confuse the radar system
To further enhance the deceptive jamming suppression performance, we proposed a special polarization and frequencydiverse MIMO (PFD-MIMO) radar system in [17] that combines the advantages of the traditional MIMO radar system and polarization-range domain coupling; the system exhibited better performance in deceptive jamming suppression than did a frequency-diverse array MIMO (FDA-MIMO) radar system [18] and a polarization MIMO radar
We propose a co-located polarization MIMO radar system that combines the advantages of a MIMO radar system with the advantages offered by optimizing the transmitting waveform polarization for main lobe deceptive jamming suppression
Summary
With the rapid development of digital radio frequency memory (DRFM) technology [1], a DRFM repeated jammer can intercept radar transmit waveforms and generate replicas (false targets) in random range bins and Doppler cells to confuse the radar system. A polarization optimization method based on oblique projection for main lobe interference suppression in a co-located polarization MIMO radar system was proposed in [16], and improved jamming suppression performance was achieved with the optimal transmitter and receiver polarizations. A game theory design approach for distributed polarization MIMO radar target detection was proposed in [22], and the performance advantage of this approach was demonstrated using numerical simulations. We present the solution methods of the optimal strategy and the Nash equilibrium for two cases in this paper Based on this game theory design for the transmit polarization, an improved jamming suppression performance can be achieved in the polarization MIMO radar system. Σn and I2MN represent the noise power and a 2MN dimensional identity matrix, respectively
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