The Zak-OTFS input/output (I/O) relation is predictable and non-fading when the delay and Doppler periods are greater than the effective channel delay and Doppler spreads, a condition which we refer to as the crystallization condition. The filter taps can simply be read off from the response to a single Zak-OTFS pilot pulsone, and the I/O relation can be reconstructed for a sampled system that operates under finite duration and bandwidth constraints. In previous work we had measured BER performance of a baseline system where we used separate Zak-OTFS subframes for sensing and data transmission. In this Letter we demonstrate how to use turbo signal processing to match BER performance of this baseline system when we integrate sensing and communication within the same Zak-OTFS subframe. The turbo decoder alternates between channel sensing using a noise-like waveform (spread pulsone) and recovery of data transmitted using point pulsones.

翻译：当延迟周期和多普勒周期大于有效信道的延迟扩展和多普勒扩展时（我们称此条件为结晶条件），Zak-OTFS的输入/输出关系是可预测且无衰落的。滤波器抽头可直接从对单个Zak-OTFS导频脉冲音（pulsone）的响应中读取，并且对于在有限持续时间和带宽约束下运行的采样系统，可以重建其输入/输出关系。在先前的工作中，我们测量了一个基线系统的误码率性能，其中我们使用独立的Zak-OTFS子帧进行感知和数据传输。在本通信中，我们展示了如何在感知与通信集成于同一Zak-OTFS子帧内时，利用turbo信号处理来匹配该基线系统的误码率性能。Turbo解码器交替使用类噪声波形（扩展脉冲音）进行信道感知，以及恢复通过点脉冲音传输的数据。