Zak-OTFS provides a framework for integrated sensing & communication (ISAC) in high delay and Doppler spread environments. Pulse shaping filter design enables joint optimization of sensing and communication performance. For sensing, a localized pulse shaping filter enables input-output (I/O) relation estimates close to the physical scattering channel. For communication, orthogonality of the pulse shape on the information lattice prevents inter-symbol interference, and no time and bandwidth expansion enables full spectral efficiency. A filter simultaneously meeting all three objectives is ideal for ISAC. Existing filter designs achieve two, but not all three objectives. In this work, we design pulse shaping filters meeting all three objectives via the Isotropic Orthogonal Transform Algorithm. The proposed filters have improved spectral efficiency, data detection and sensing performance over existing filter choices.

翻译：Zak-OTFS为高时延与多普勒扩展环境下的集成感知与通信提供了一个框架。脉冲成形滤波器设计能够实现感知与通信性能的联合优化。对于感知，一个局部化的脉冲成形滤波器可使输入输出关系估计接近物理散射信道。对于通信，脉冲形状在信息格点上的正交性可防止符号间干扰，且无时间和带宽扩展能够实现完全的频谱效率。同时满足所有三个目标的滤波器是ISAC的理想选择。现有的滤波器设计实现了其中两个目标，但未能同时满足全部三个。在本工作中，我们通过各向同性正交变换算法设计了满足所有三个目标的脉冲成形滤波器。与现有滤波器选择相比，所提出的滤波器在频谱效率、数据检测和感知性能方面均有所提升。