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针对包络约束条件下扩展目标最优检测波形设计,提出了峰均功率比约束条件下最优检测波形优化方法。首先,建立了扩展目标信号模型;然后,通过将恒定包括约束转换成峰均功率比约束,推导出该约束下扩展目标最优检测波形优化模型;并将该非凸模型转换成易于求解的凸优化模型,由此获得了恒定包络和低起伏包络条件下的最优检测波形;最后,以某典型扩展目标为例,仿真对比了不同约束参数下波形的检测性能,验证了优化所得恒定包络、低起伏包络波形相比于传统Barker码波形具有更好的检测性能。
Aiming at the design of the optimal detection waveform of extended target under the condition of envelope constraint, an optimal detection waveform optimization method under the condition of peak-to-average power ratio constraint is proposed. First, the extended target signal model is established. Then, the constrained optimization algorithm is derived by converting the constant constraint constraint into the peak-to-average power ratio constraint. Then, the non-convex model is transformed into an easily convex solution Optimize the model and obtain the optimal detection waveforms under the condition of constant envelope and low fluctuation envelope. Finally, taking a typical expansion target as an example, the performance of the waveform under different constraint parameters is simulated and compared, Envelope, low-profile envelope waveform compared to the traditional Barker code waveform has better detection performance.