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Integrated sensing and communications (ISAC) has been recognized as a keycomponent in the envisioned 6G communication systems. Understanding thefundamental performance tradeoff between sensing and communicationfunctionalities is essential for designing practical cost-efficient ISACsystems. In this paper, we aim for augmenting the current understanding of thedeterministic-random tradeoff (DRT) between sensing and communication, byanalyzing the sensing-optimal operating point of the fundamentalcapacity-distortion region. We show that the DRT exists for generic sensingperformance metrics that are in general not convex/concave in the ISACwaveform. Especially, we elaborate on a representative non-convex performancemetric, namely the detection probability for target detection tasks.

Generalized Deterministic-Random Tradeoff in Integrated Sensing and Communications: The Sensing-Optimal Operating Point