Time-bandwidth product (TBP), peak side-lobe level (PSL), integrated side-lobe level (ISL), and relative main-lobe width are considered important performance parameters in pulse compression (PC) radar for the selection of transmitting waveforms. In radar system, linear frequency modulated (LFM) waveforms are popular for transmission. LFM waveforms suffer from the range side-lobes problem which affects accurate detection of the target. This paper describes a new transmitting waveform based on Legendre orthogonal polynomial (LOP) for bandwidth optimization and side-lobe levels reduction in PC radar. PC provides the benefits of long duration pulse for better range resolution and detection. Different order LOPs are examined with varying optimizing parameter (γ), and the polynomial giving optimum performance is chosen. Further, different windowing methods are added in cascade to decrease the side-lobes but with the limitation of wider relative main-lobe width. Simulation results indicate that the proposed LOP gives better side-lobe reduction than LFM and Chebyshev chaotic sequences.

时间带宽乘积（TBP），峰值旁瓣电平（PSL），积分旁瓣电平（ISL）和相对主瓣宽度被认为是脉冲压缩（PC）雷达中用于选择发射波形的重要性能参数。在雷达系统中，线性调频（LFM）波形很流行用于传输。LFM波形存在范围旁瓣问题，这会影响目标的精确检测。本文介绍了一种基于Legendre正交多项式（LOP）的新发射波形，用于PC雷达的带宽优化和旁瓣电平降低。PC提供了长持续时间脉冲的优势，可以实现更好的范围分辨率和检测。使用不同的优化参数（γ），然后选择给出最佳性能的多项式。此外，级联添加了不同的加窗方法以减小旁瓣，但受限于较宽的相对主瓣宽度。仿真结果表明，所提出的LOP比LFM和Chebyshev混沌序列具有更好的旁瓣减小效果。