线性调频信号低旁瓣脉压窗函数的优化设计

• 作 者: 时维元 林正英 陈希信
• 机 构: 金陵科技学院机电工程学院,福州大学机械工程及自动化学院,南京电子技术研究所,
• 出 处: 现代雷达
• 发表日期: 2015年10期
• 关键词: linear frequency-modulated signal pulse compression window function second-order

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。

Since the amplitude spectrum of the LFM signal is not a standard rectangular shape, the common window function sometimes can not lower the pulse sidelobe sufficiently low. Therefore, an optimal design method for the low sidelobe pulse window function of the LFM signal is proposed. First of all, the solution of the frequency domain window function is presented as an optimization problem. Under the condition that the difference between the main lobe and the expected main lobe under the guaranteed design window function is less than a given value, the pulse pressure under the design window function The sidelobes are as low as possible; then the problem is expressed as a standard second-order cone programming and solved. The simulation results show that the pulse pressure sidelobes of the designed window are significantly lower than those of the Hamming window, and the unconstrained part of the designed main lobe of the pulse pressure is widened. The pulse pressure signal to noise ratio is the same under both window functions.