基于KKT最優(yōu)性條件的頻點(diǎn)可控FSK-PSK波形設(shè)計(jì)算法

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中圖分類號：TN911.7 文獻(xiàn)標(biāo)志碼：A DOI：10.12305/j.issn.1001-506X.2025.05.12

Abstract：In response to the degradation of correlation performance in frequency shift keying-phase shift keying（FSK-PSK）waveform due to random frequency point encoding sequences，a model for frequency controllableFSK-PSK waveform optimization is developed.Starting from the Karush-Kuhn-Tucker（KKT） optimalitycondition，anoptimal subproblem iterative algorithm is designed to minimize theautocorrelation integrated sidelobe level（ISL）as the objective function.Finally，through simulation experiments and comparison with the FSK-PSK waveform optimized by multi-objective quantum genetic algorithm（MoQGA），it is verified that the designed frequency controllableFSK-PSK waveform improved the autocorrelation sidelobe performance by an average of 4.47 dB at different sub pulse frequency point ratios，and further reduced the cross-correlation sidelobes.

Keywords：low-sidelobe waveform；KKT（Karush-Kuhn-Tucker） conditions；frequency shift keying-phase shift keying（FSK-PSK）waveform；frequency controllable

0 引言

頻移鍵控-相移鍵控（frequencyshiftkeying-phaseshiftkeying，F(xiàn)SK-PSK）波形作為一種復(fù)合調(diào)制波形，兼具FSK波形良好的低截獲特性以及PSK波形良好的相關(guān)特性，不僅具有高距離分辨力和優(yōu)良的抗噪聲性能，而且可以通過波形的編碼序列優(yōu)化，增強(qiáng)抗干擾能力1。（剩余19057字）