Low sidelobe level is required for pulse compression (PC) radar systems since it can reduce false alarm triggered by the high sidelobe and improve the ability to detect weak targets nearby strong scattering points. In most of the existing literature, sidelobe suppression is achieved by either transmit waveform design at the transmitter or mismatched filter optimization at the receiver. Joint design of waveform and filter is an approach with limited discussion. Thus, this paper aims to jointly design transmit waveform and mismatched filter to achieve low sidelobe level. We first formulate an $L_p$-norm metric for PC model which suits for either the integrated sidelobe level or peak sidelobe level (PSL) minimization (only with different initializations of $p$). Then we present a new iterative method to deal with the problem by using Dinkelbach’s scheme and majorization minimization method. The proposed method is shown to be convergent and the computational complexity is also analyzed. Numerical examples demonstrate that waveforms and filters designed by using the proposed method produce lower PSL than the existing techniques.

脉冲压缩（PC）雷达系统需要低旁瓣电平，因为它可以减少高旁瓣触发的误报，提高检测强散射点附近弱目标的能力。在大多数现有文献中，旁瓣抑制是通过发射机的发射波形设计或接收机的失配滤波器优化来实现的。波形和滤波器的联合设计是一种讨论有限的方法。因此，本文旨在联合设计发射波形和失配滤波器以实现低旁瓣电平。我们首先制定一个${升}_{磷}$- 适用于集成旁瓣电平或峰值旁瓣电平 (PSL) 最小化的 PC 模型的范数度量（仅具有不同的初始化 $磷$）。然后我们提出了一种新的迭代方法来解决这个问题，即使用丁克尔巴赫方案和专业化最小化方法。所提出的方法被证明是收敛的，并且还分析了计算复杂度。数值例子表明，使用所提出的方法设计的波形和滤波器产生的 PSL 低于现有技术。