具有多普勒容忍性的通感一体化波形设计

Doppler-Tolerant Integrated Sensing and Communication Waveform Design

摘要: 针对现有通感一体化波形对运动目标探测性能不足的问题，本文提出基于p-范数的加权积分旁瓣电平优化的多普勒容忍通感一体化波形设计方案。首先，在脉冲串模糊函数下，推导了多普勒容忍波形设计问题可等价于单个具有低相关区的波形设计问题并且具有较低的积分旁瓣电平。在满足约束条件下，建立最小化一体波形的p-范数加权峰积分旁瓣电平为优化准则，从而实现具有多普勒容忍性的通感一体化波形设计。由于优化目标是高阶非凸问题，基于优化最小化框架提出了p-WPISL算法进行求解。通过数值实验表明，所设计的一体化波形可以实现更低的符号错误率，实现雷达与通信功能的融合；同时能够显著抑制距离自相关旁瓣，通过改变p实现ISL与PSL之间的权衡，并且优化后的波形在不同多普勒频移下均可保持较低距离旁瓣，对运动目标具备良好的多普勒容忍性能。

Abstract: Aiming at the insufficient detection performance of existing integrated sensing and communication (ISAC) waveforms for moving targets, this paper proposes a Doppler-tolerant ISAC waveform design scheme based on the weighted integrated sidelobe level optimization with p -norm. First, under the ambiguity function of pulse trains, we derive that the Doppler-tolerant waveform design problem can be equivalent to designing a single waveform with a low correlation region and low integrated sidelobe level. Subject to the constraints, an optimization criterion is established to minimize the p -norm weighted peak integrated sidelobe level of the integrated waveform, so as to realize the design of Doppler-tolerant ISAC waveforms. Since the optimization objective is a high-order nonconvex problem, a p-WPISL algorithm is proposed to solve it under the majorization-minimization (MM) framework. Numerical experiments demonstrate that the designed integrated waveform achieves a lower symbol error rate and realizes the fusion of radar and communication functions. Meanwhile, it can significantly suppress the range autocorrelation sidelobes. The tradeoff between ISL and PSL can be achieved by adjusting the parameter, Moreover, the optimized waveform maintains low range sidelobes under different Doppler shifts and exhibits favorable Doppler tolerance for moving targets.