Functional Covering of Point Processes

Nirmal V. Shende; Aaron B. Wagner

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arXiv · 2204.09188

Functional Covering of Point Processes

Nirmal V. Shende·Aaron B. Wagner

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Abstract

We introduce a new distortion measure for point processes called functional-covering distortion. It is inspired by intensity theory and is related to both the covering of point processes and logarithmic loss distortion. We obtain the distortion-rate function with feedforward under this distortion measure for a large class of point processes. For Poisson processes, the rate-distortion function is obtained under a general condition called constrained functional-covering distortion, of which both covering and functional-covering are special cases. Also for Poisson processes, we characterize the rate-distortion region for a two-encoder CEO problem and show that feedforward does not enlarge this region.

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Nirmal V. Shende, Aaron B. Wagner. 2022-04-20. Functional Covering of Point Processes. https://arxiv.org/abs/2204.09188

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