由于线性调频(LFM)信号的幅度谱不是标准的矩形形状,常用的窗函数有时无法将脉压旁瓣降得足够低,因此提出了LFM 信号低旁瓣脉压窗函数的优化设计方法。首先,将频域窗函数的求解表示为一个最优化问题,即在保证设计窗函数下的脉压主瓣与期望主瓣的差别小于给定值的条件下,使设计窗函数下的脉压旁瓣尽可能低;然后,将问题表示为标准二阶锥规划形式并求解。仿真实例表明,设计窗的脉压旁瓣显著低于海明窗的脉压旁瓣,设计窗脉压主瓣的无约束部分有所展宽,两个窗函数下脉压信噪比相同。

The sidelobes of pulse compression (PC) of linear frequency- modulated (LFM) signal sometimes cannot be lowered sufficiently via the usual window functions because the amplitude spectrum of LFM signal is not of the standard rectangular shape. An optimal design approach to the window function of LFM signal low-sidelobe PC is presented in this paper. In this approach the window function making the PC sidelobes as low as possible is found via the standard second-order cone programming under the constraint that the difference between the PC mainlobe of designed window and that of the desired window is less than some given value. The simulation example shows that the PC sidelobes of designed window are remarkably lower than those of Hamming window,the constrained part of PC mainlobe of designed window is widened, and the PC SNRs of two window functions are almost same.

TN957

金陵科技学院科研基金资助项目