This paper analyzes the outage probability of orthogonal time frequency space (OTFS) modulation under a lossy communication scenario. First of all, we introduce the channel model and the vector form representation of OTFS this paper uses. Then, we derive an exact expression of the OTFS outage probability in lossy communication scenarios, using Shannon's lossy source-channel separation theorem. Because the channel is time-varying, calculating the exact outage probability is computationally expensive. Therefore, this paper aims to derive a lower bound of the outage probability, which can relatively easily be calculated. Thus, given the distortion requirement and number of the resolvable paths, we can obtain a performance limit under the optimal condition as a reference. Finally, the experimental results of outage probability are obtained by Monte-Carlo method, and compared with the theoretical results calculated by the closed-from expression of the lower bound.

翻译：本文分析了损耗通信场景下正交时频空间（OTFS）调制的中断概率。首先，我们介绍了本文所使用的信道模型及OTFS的向量形式表示。随后，利用香农的损耗信源-信道分离定理，推导了损耗通信场景下OTFS中断概率的精确表达式。由于信道具有时变性，精确计算中断概率的计算开销较大。因此，本文旨在推导一个相对易于计算的中断概率下界。由此，在给定失真要求与可分辨路径数量的条件下，我们可以获得最优条件下的性能极限作为参考。最后，通过蒙特卡洛方法获得了中断概率的实验结果，并与利用下界闭式表达式计算的理论结果进行了对比。