基于二次约束二次规划的窗函数设计方法A window function design method via QCQP approach
刘金;宋红军;
摘要(Abstract):
为降低高功率雷达系统中脉冲压缩后输出的高峰值旁瓣进而提高成像质量,通常的方法是在接收端进行加窗处理,在信噪比损失、积分旁瓣和主瓣宽度上做出一定权衡。为了进一步提升窗函数的成像性能,以不同的目标函数和约束条件构建能够高效准确求解的凸优化模型来设计优化窗函数。建立了以优化峰值旁瓣为目标的二次约束二次规划的凸优化模型,并给出了优化积分旁瓣能量的凸优化模型。通过线性加权求和,对峰值旁瓣、信噪比损失和积分旁瓣能量的线性组合得到的结果作为目标函数建立了多目标凸优化模型。通过对凸优化问题求解,得到的优化窗函数在峰值旁瓣、积分旁瓣、信噪比损失和主瓣宽度上均优于或不劣于在雷达系统中常用的性能优良的Taylor窗函数。仿真结果表明,优化窗函数能够比Taylor窗函数提供更好的性能。
关键词(KeyWords): 雷达信号处理;凸优化;多目标优化;窗函数设计;成像质量
基金项目(Foundation): 国家重点研发计划(2017YFB0502700)
作者(Author): 刘金;宋红军;
Email:
DOI: 10.13800/j.cnki.xakjdxxb.2020.0311
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