Due to their nice properties, unimodular sequences possessing low autocorrelation sidelobes have already been employed as transmit waveforms in numerous radar systems. It could also be desired to have a transmit waveform which avoids certain frequency bands allocated for specific communication applications. Hence, adaptation and specific design of the waveform spectrum might also be essential. Accordingly, in this manuscript, we propose two alternative algorithms for designing radar transmit sequences satisfying simultaneous temporal integrated sidelobe level (ISL) and spectral stopband constraints. The proposed algorithms utilize the majorization-minimization (MM) method for directly minimizing ISL by first proposing a majorizing function in place of the objective function of the minimization problem. Then, solution of the minimization problem is obtained in an iterative manner. Accelerated versions of the newly proposed algorithms are also derived to facilitate their fast convergence. We also present numerical examples for comparing performances of our newly proposed methods against some existing methods from the literature in terms of computation time, number of iterations, and level of suppression in stopbands.

由于其良好的特性，具有低自相关旁瓣的单模序列已被用作众多雷达系统的发射波形。还期望具有避免分配给特定通信应用的某些频带的发射波形。因此，波形频谱的自适应和特定设计也可能是必不可少的。因此，在本手稿中，我们提出了两种替代算法，用于设计满足同时时间积分旁瓣电平（ISL）和频谱阻带约束的雷达发射序列。所提出的算法利用主要最小化（MM）方法通过首先提出一个主要函数来代替最小化问题的目标函数来直接最小化ISL。然后，以迭代方式获得最小化问题的解。还推导了新提出的算法的加速版本，以促进其快速收敛。我们还提供了一些数值示例，用于在计算时间，迭代次数和阻带抑制水平方面，将我们新提出的方法与文献中的某些现有方法的性能进行比较。