Abstract
In this chapter, we discuss mathematical approaches to the two most fundamental questions about spatial telecommunication models:
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Coverage: How much of the area can be reached by the signals emitted from the users, respectively the base stations?
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Connectivity: How far can a message travel through the system in a multihop-functionality?
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Notes
- 1.
Fekete’s lemma states that, for any subadditive sequence \((a_n)_{n\in \mathbb {N}}\) of real numbers (i.e., a n+m ≤ a n + a m for any \(n,m\in \mathbb {N}\)), \(\lim _{n\to \infty }\frac 1n a_n\) exists in [−∞, ∞) and is equal to \(\inf _{n\in \mathbb {N}}\mathbb {E}[W_n]^{1/n}\).
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Jahnel, B., König, W. (2020). Coverage and Connectivity: Boolean Models. In: Probabilistic Methods in Telecommunications. Compact Textbooks in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-36090-0_4
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DOI: https://doi.org/10.1007/978-3-030-36090-0_4
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