雷达通信一体化，即在同一射频架构上同时实现通信与雷达功能，是未来雷达与通信技术发展的一个重要趋势。在前期研究工作中，申请人提出了利用频率-斜率联合调制的多进制线性调频信号作为雷达与通信系统的共用波形，从而在确保通信容量的同时最大程度地抑制对雷达性能的恶化。该波形是一种非平稳信号，且调制信号间的非理想正交特性决定其信号空间呈现为非欧式的流形空间。有鉴于此，申请人提炼了限制多进制线性调频信号使用的核心理论问题：流形信号空间的几何表征；流形星座图的优化设计；系统及信道的非线性补偿，并利用流形学习算法对接收星座图进行聚类处理。以上问题的有效解决将能提出一个应用多进制线性调频信号的框架性解决方案；进而指导工程技术研究发展，推动下一代雷达在网络化作战中的大规模应用；并辐射水声通信、超宽带通信、短距无线定位在内的其他通信领域，拓展其研究空间与产业应用。

Radar-Communication Integration, which aims to achieve dual functions of both radar and communication on a single RF system, has been recognized as one of the most important trend for the future technology. Oriented from our prototype work on radar-communication system, an M-ary Chirp signal (MCrFSK) based modulation method has been proposed as the joint waveform, which is expected to maximize the communication capacity while minimizing the interference on radar. Under the understanding that the chirp waveform is essentially a non-stationary waveform, as well as the non-orthogonality among modulated signals that makes the signal space appear as a non-Euclidean manifold space, this proposal analyses the core theoretical problems that limit the usage of the MCrFSK signal: 1) The geometric representation of the MCrFSK signal space; 2) The optimization of the signal constellation on the non-Euclidean manifold space; 3) The nonlinearity compensation of the chirp signal, and the constellation clustering using manifold learning approach. The effective solutions of above problems will bring a well-defined framework to utilize MCrFSK signal, which will guide the development of the next generation radar-communication system, and promote the large-scale application of radar-communication system in the coming network-centric warfare. The research achievements will also benefit other communication areas with enlarged research space and industrial applications, including underwater acoustic communication, UWB communication, and short distance wireless positioning system.