We extend the results of Ghourchian et al. [IEEE JSAIT-2021], to joint source-channel coding with eavesdropping. Our work characterizes the sequential encoding process using the cumulative rate distribution functions (CRDF) and includes a security constraint using the cumulative leakage distribution functions (CLF). The information leakage is defined based on the mutual information between the source and the output of the wiretap channel to the eavesdropper. We derive inner and outer bounds on the achievable CRDF for a given source and CLF, and show that the bounds are tight when the distribution achieving the capacity of the wiretap channel is the same as the one achieving the capacity of the channel.

翻译：我们将Ghourchian等人[IEEE JSAIT-2021]的研究结果扩展到存在窃听的联合信源信道编码场景。本工作利用累积速率分布函数（CRDF）刻画顺序编码过程，并通过累积泄露分布函数（CLF）纳入安全约束。信息泄露定义为信源与窃听者收到的窃听信道输出之间的互信息。我们推导了在给定信源和CLF条件下可实现CRDF的内界和外界，并证明当达到窃听信道容量的分布与达到信道容量的分布相同时，这些界是紧的。