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Optimization of the frequency offset increment of FDA-MIMO based on cuckoo search algorithm
Wang BoZhao YuLi YonglinYang RennongXue Junjie
Keywords:RadarVectorsCouplingsArray signal processingOptimizationTime-frequency analysisFrequency diversityFrequency controlMixersBeam steeringSearch AlgorithmCuckoo SearchCuckoo Search AlgorithmOptimization ProblemTarget LocationMultiple-input Multiple-outputBeamformingConvex Optimization ProblemBeam DirectionInherent IssuesArray OutputLogarithmOptimization AlgorithmNonlinear FunctionWeight VectorElectric Field StrengthLinear ArrayArray ElementsElement SpacingAdjacent ElementsLinear FrequencyNumber Of NestsBeam SteeringLevy FlightOne-dimensional ArraySteering VectorReceiver EndBird HostsNarrow-band FilterReference Elementfrequency diverse array multiple-input multiple-output (FDA-MIMO)convex optimizationcuckoo search algorithmbeampattern
Abstracts:Frequency diverse array multiple-input multiple-output (FDA-MIMO) radar has gained considerable research attention due to its ability to effectively counter active repeater deception jamming in complex electromagnetic environments. The effectiveness of interference suppression by FDA-MIMO is limited by the inherent range-angle coupling issue in the FDA beampattern. Existing literature primarily focuses on control methods for FDA-MIMO radar beam direction under the assumption of static beampatterns, with insufficient exploration of techniques for managing nonstationary beam directions. To address this gap, this paper initially introduces the FDA-MIMO signal model and the calculation formula for the FDA-MIMO array output using the minimum variance distortionless response (MVDR) beamformer. Building on this, the problem of determining the optimal frequency offset for the FDA is rephrased as a convex optimization problem, which is then resolved using the cuckoo search (CS) algorithm. Simulations confirm the effectiveness of the proposed approach, showing that the frequency offsets obtained through the CS algorithm can create a dot-shaped beam direction at the target location while effectively suppressing interference signals within the mainlobe.
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