The joint rate-distortion framework of Stavrou and Kountouris (IEEE Transactions on Communications 2023) characterises dual-fidelity tradeoffs for semantic communication on stochastic semantic sources. Many task-oriented communication systems instead use designed sources, where the semantic object is a deterministic oracle allocation $φ^(t)$ rather than a stochastic quantity given by nature. We isolate the subclass of designed sources under smooth concave utility with assumptions A1, A2 and Euclidean allocation codomain, and restrict the encoder class to deterministic common-category mappings. Within this subclass the SK exponential-tilting decoder and generalised Blahut--Arimoto iteration specialise to conditional-mean decoding and Lloyd--Max stationarity on $φ^(t)$. When the second fidelity is a monotone single-letter distortion, the joint problem stays inside the SK admissible class; the common-category SK rate is lower-bounded by the max of the corresponding Shannon rate-distortion functions, with equality only when the common-category reconstruction is compatible and RDF-optimal. When the second fidelity is aggregate verification, the joint problem leaves the SK single-letter class and admits a constrained-design feasibility band $R_{\min}(\varepsilon^) \leq R \leq R_{\max}(β^)$ of width $\log_2(K_{\max}/K_{\min})$ bits in partition cardinality. The reduction and the band are scope statements on the SK apparatus, not modifications to it. A smart-grid economic-dispatch example with a non-technical-loss-detection contrast illustrates the band.

翻译：Stavrou和Kountouris的联合率失真框架（IEEE通信学报，2023）刻画了随机语义源上语义通信的双保真权衡。许多面向任务的通信系统转而采用设计源，其中语义对象是确定性预言分配φ^(t)，而非自然赋予的随机量。我们在光滑凹效用函数及假设A1、A2与欧几里得分配陪域下，隔离出设计源的子类，并将编码器类限制为确定性公共范畴映射。在此子类中，SK指数倾斜译码器和广义Blahut-Arimoto迭代退化为条件均值译码和关于φ^(t)的Lloyd-Max平稳性。当第二保真度为单调单字母失真时，联合问题仍处于SK可容许类内；公共范畴SK率由相应香农率失真函数的最大值下界限制，仅当公共范畴重构兼容且满足RDF最优性时取等。当第二保真度为聚合验证时，联合问题脱离SK单字母类，并允许约束设计可行性区间R_min(ε*) ≤ R ≤ R_max(β*)，其宽度在划分基数下为log_2(K_max/K_min)比特。缩减与区间是SK装置的作用域陈述，而非对其的修改。以非技术损耗检测对比为特色的智能电网经济调度案例阐明了该区间。