MIMO Radar Waveform-Filter Design for Extended Target Detection from a View of Games
Zhou Xu, Chongyi Fan, Xiaotao Huang

TL;DR
This paper models MIMO radar extended target detection as a Stackelberg game, deriving optimal waveform-filter strategies under various constraints and proving equilibrium existence through convex optimization and SDP relaxation.
Contribution
It introduces a game-theoretic framework for MIMO radar waveform-filter design against extended targets, with novel equilibrium analysis under energy and constant modulus constraints.
Findings
Stackelberg equilibrium aligns with Nash equilibrium under energy constraints.
Proposed algorithms effectively compute optimal waveform-filter pairs.
Theoretical proofs establish existence of equilibria for different constraints.
Abstract
This paper studies the Two-Person Zero Sum(TPZS) game between a Multiple-Input Multiple-Output(MIMO) radar and an extended target with payoff function being the output Signal-to-Interference-pulse-Noise Ratio(SINR) at the radar receiver. The radar player wants to maximize SINR by adjusting its transmit waveform and receive filter. Conversely, the target player wants to minimize SINR by changing its Target Impulse Response(TIR) from a scaled sphere centered around a certain TIR. The interaction between them forms a Stackelberg game where the radar player acts as a leader. The Stackelberg equilibrium strategy of radar, namely robust or minimax waveform-filter pair, for three different cases are taken into consideration. In the first case, Energy Constraint(EC) on transmit waveform is introduced, where we theoretically prove that the Stackelberg equilibrium is also the Nash equilibrium of…
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Taxonomy
TopicsRadar Systems and Signal Processing · Advanced SAR Imaging Techniques · Wireless Signal Modulation Classification
