Transmit sequence design plays a significant role in multiple-input multiple-output (MIMO) radar to suppress correlation function side-lobe levels. This paper investigates two practical constraints, namely, constant envelope constraint to reduce the effect of nonlinear amplifiers, and low side-lobe levels to reduce the effect of interference among various transmitting sequences. To facilitate this, new Legendre sequences (L-seq) are designed that uses Legendre orthogonal polynomial (LOP). Superiority of the proposed L-seq is proven for peak side-lobe level (PSL) and cross-correlation level (CCL) performance parameters. Further, the signal cross-interference in MIMO radar is minimized by generating orthogonal L-seq. The impact of designed L-seq on the delay-Doppler plane is observed using the ambiguity function (AF). Simulation results show that the proposed L-seq has a constant envelope and suppressed side-lobe levels compared to the existing popular methods.

发射序列设计在多输入多输出（MIMO）雷达中发挥着重要作用，以抑制相关函数旁瓣电平。本文研究了两个实际约束，即恒定包络约束以减少非线性放大器的影响，以及低旁瓣电平以减小各种发射序列之间的干扰的影响。为方便起见，设计了新的Legendre序列（L-seq），该序列使用Legendre正交多项式（LOP）。对于峰值旁瓣电平（PSL）和互相关电平（CCL）性能参数，已证明了所提出的L-seq的优越性。此外，通过生成正交的L-seq，可以最大程度地降低MIMO雷达中的信号交叉干扰。使用歧义函数（AF）可以观察到设计的L-seq对延迟多普勒平面的影响。