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Information Theory and Coding by Example by Yuri Suhov, Mark Kelbert

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4.4 Spatial point processes and network information theory

For a discussion of capacity of distributed systems and construction of random codebooks based on point processes we need some background. Here we study the spatial Poisson process in imaged, and some more advanced models of point process are introduced with a good code distance. This section could be read independently of PSE II, although some knowledge of its material may be very useful.

Definition 4.4.1 (cf. PSE II, p. 211) Let μ be a measure on image with values μ(A) for measurable subsets A⊆ ...

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