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基于停滞检测粒子群算法的阵列天线方向图综合
Abstract
Inthispaper,anovelapproachofusingthestagnationdetectionparticleswarmoptimizationalgorithmforthesynthesisofantennaarraydirectionaldiagramisproposed.Theproposedmethodaimstooptimizethearrayfactoroftheantennawhiletakingintoaccountthelimitationsofthephysicalarchitectureofthesystem.Acomprehensiveanalysisoftheadvantagesandlimitationsoftheproposedmethodispresented,followedbyexperimentalresultsandconclusions.
Introduction
Theuseofantennaarraystotransmitorreceivesignalshasbecomeincreasinglypopularovertheyearsduetotheadvancementsincommunicationtechnology.Theabilitytosteertheantennabeaminaspecificdirectionisparamountinachievingbettersignalquality,reliabilityandcoverage.Thesynthesisofthedirectionaldiagramoftheantennaarrayisacriticalaspectofachievingtheseobjectives.
Variousmethodshavebeenproposedforthesynthesisofantennaarraydirectionaldiagrams,includinggeneticalgorithms,simulatedannealing,particleswarmoptimization(PSO),anddifferentialevolution.However,thesetraditionaloptimizationmethodssufferfromsomedrawbacks,includingslowconvergencerates,beingstuckinlocalminima,andaninabilitytohandleconstraints.
Inrecentyears,anewtypeofPSOalgorithm,calledthestagnationdetectionPSOalgorithm,hasbeenproposed.Thealgorithmhasshownsignificantimprovementsinoptimizationefficiencywhenappliedtolarge-scaleoptimizationproblems.Therefore,inthispaper,weproposeusingthestagnationdetectionPSOalgorithmforthesynthesisofantennaarraydirectionaldiagrams.
Methodology
Inthisstudy,weusealinearantennaarraycomposedofN+1equallyspacedisotropicradiators.Thearrayfactorisdefinedas:
AF(θ)=∑_(n=0)^Nw_ncos(nθ+φ_n)
Wherew_nistheweightcoefficientofthenthradiator,φ_nisthephaseshift,andθistheangleofarrival.
Theobjectiveofthesynthesisofthedirectionaldiagramistomaximizethepeaksidelobelevel(PSLL)whilemaintaininganullinaspecificangleofarrival.ThePSLLisgivenby:
PSLL=20log_10{max(∣AF(θ)∣^2)/∣AF(θ=0)∣^2}
Totakeintoaccountthephysicallimitationsofthesystem,weintroduceconstraintsintheoptimizationproblem.Theseco
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