发表机构
Colorado State University; Nvidia; DSTG, Australia; Melbourne University, Australia（科罗拉多州立大学; 英伟达; 澳大利亚国防科学技术局; 墨尔本大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文提出线性代数框架协调D进制发射调度与接收权重，实现参数幺正MIMO雷达多普勒置零，通过模态分解和子空间投影优化信噪比，数值验证四波形配置的全程多普勒抑制。
AI 中文摘要
互补波形库在零多普勒下产生类似脉冲的聚合延迟响应，但脉冲相关的多普勒相位会削弱其旁瓣消除能力。本文针对参数幺正MIMO波形库，提出了一种线性代数框架，用于协调D进制发射调度和慢时间接收权重。通过对CPI模糊矩阵进行模态分解，将(D-1)个非零模态的规定阶多普勒置零条件表示为固定调度下接收权重的齐次线性约束。该表示通过子空间投影给出信噪比最优的固定调度权重，并将剩余设计简化为离散调度搜索。自由度与模态增长分析将设计与CPI长度、置零阶数和波形维度相关联。数值示例将所得设计与已有的二进制构造进行比较，并展示了四波形配置在整个模糊矩阵上的多普勒抑制效果。
英文摘要
Complementary waveform libraries yield impulse-like aggregate delay responses at zero Doppler, but pulse-dependent Doppler phases degrade their sidelobe cancellation. This paper develops a linear-algebraic formulation for coordinating a (D)-ary transmission schedule and slow-time receive weights for paraunitary MIMO waveform libraries. Using a modal decomposition of the CPI ambiguity matrix, prescribed-order Doppler-nulling conditions for the (D-1) nonzero modes are expressed as homogeneous linear constraints on the receive weights for a fixed schedule. This representation gives the SNR-optimal fixed-schedule weights by subspace projection and reduces the remaining design to a discrete schedule search. Degrees-of-freedom and modal-growth analyses relate the design to the CPI length, null order, and waveform dimension. Numerical examples compare the resulting designs with established binary constructions and demonstrate Doppler suppression across the full ambiguity matrix of a four-waveform configuration.
