Functional Covering of Point Processes

Autor: Nirmal V. Shende, Aaron B. Wagner
Rok vydání: 2023
Předmět:
Zdroj: ISIT
ISSN: 2641-8770
DOI: 10.1109/jsait.2023.3279194
Popis: 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.
Databáze: OpenAIRE