基于KKT最优性条件的频点可控FSK-PSK波形设计算法

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中图分类号：TN911.7 文献标志码：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

频移键控-相移键控（frequencyshiftkeying-phaseshiftkeying，FSK-PSK）波形作为一种复合调制波形，兼具FSK波形良好的低截获特性以及PSK波形良好的相关特性，不仅具有高距离分辨力和优良的抗噪声性能，而且可以通过波形的编码序列优化，增强抗干扰能力1。（剩余19057字）