Effects of densification and randomness of infrastructure deployment in cellular networks

Effects of densification and randomness of infrastructure deployment in cellular networks

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This chapter examined the effects of densification and randomness of infrastructure in future cellular networks by employing analytical tools from stochastic geometry. Various operational scenarios were investigated, including uplink and downlink transmissions, multi-tier networks, and variable traffic load, as well as parameters and metrics of interest such as SIR, user rate, degrees of freedom, and multiple access schemes. It was shown that randomness of AP positions introduces an unavoidable but moderate performance degradation compared to a regular placement pattern. Surprisingly enough, densification of randomly placed infrastructure does not (statistically) degrade performance in terms of SIR or user rate, even under the worst case scenario where all nodes are transmitting. Taking into account inactive transmitters (due to having no associated receivers), densification results in performance improvements. Performance gains were explicitly quantified with simple closed-form expressions in most cases.

Chapter Contents:

  • 5.1 Introduction
  • 5.1.1 Infrastructure densification in future cellular networks
  • 5.1.2 Analytical modeling of future cellular networks
  • 5.1.3 Purpose and organization of the chapter
  • 5.2 Review of homogeneous Poisson point processes
  • 5.2.1 Fundamental properties
  • 5.2.2 Computation of functionals
  • 5.2.3 Conditioning, stationarity, and ergodicity
  • 5.3 System model and performance metrics
  • 5.3.1 System model
  • Distribution of access points and users
  • Path-loss and small-scale fading
  • Multiple access scheme and signal decoding
  • Summary of system model
  • 5.3.2 System performance metrics
  • Signal-to-interference ratio
  • Link spectral efficiency
  • UE rate
  • 5.3.3 AP-UE association schemes
  • 5.4 SIR performance analysis
  • 5.4.1 Fully loaded network: downlink
  • Single tier - nearest AP association
  • Multiple tiers - maximum average received power association
  • Maximum SIR association
  • 5.4.2 Fully loaded network: uplink
  • 5.4.3 Lightly loaded network
  • Activity probability of APs
  • Coverage probability
  • 5.5 User rate performance analysis
  • 5.5.1 Degrees of freedom distribution
  • 5.5.2 User rate CDF and system design issues
  • 5.5.3 System design
  • Downlink scheduling in time and frequency
  • Infrastructure density requirements
  • 5.6 Conclusion
  • Appendix A
  • A.1 Derivation of (5.18)
  • A.2 Derivation of (5.24)
  • References

Inspec keywords: geometry; stochastic processes; cellular radio

Other keywords: closed-form expressions; densification effect; AP positions; cellular networks; stochastic geometry; analytical tools; infrastructure deployment randomness; downlink transmissions; variable traffic load; performance degradation; inactive transmitters; uplink transmissions; multitier networks

Subjects: Combinatorial mathematics; Other topics in statistics; Mobile radio systems

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