Padé approximation for coverage probability in cellular networks

Hitoshi Nagamatsu, Naoto Miyoshi, Tomoyuki Shirai

Research output: Chapter in Book/Report/Conference proceedingConference contribution

7 Citations (Scopus)

Abstract

Coverage probability is one of the most important metrics for evaluating the performance of wireless networks. However, the spatial stochastic models for which a computable expression of the coverage probability is available are restricted (such as the Poisson based or α-Ginibre based models). Furthermore, even if it is available, the practical numerical computation may be time-consuming (in the case of α-Ginibre based model). In this paper, we propose the application of Padé approximation to the coverage probability in the wireless network models based on general spatial stationary point processes. The required Maclaurin coefficients are expressed in terms of the moment measures of the point process, so that the approximants are expected to be available for a broader class of point processes. Through some numerical experiments for the cellular network model, we demonstrate that the Padé approximation is effectively applicable for evaluating the coverage probability.

Original languageEnglish
Title of host publication2014 12th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, WiOpt 2014
PublisherIEEE Computer Society
Pages693-700
Number of pages8
ISBN (Print)9783901882630
DOIs
Publication statusPublished - Jan 1 2014
Event2014 12th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, WiOpt 2014 - Hammamet, Tunisia
Duration: May 12 2014May 16 2014

Publication series

Name2014 12th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, WiOpt 2014

Other

Other2014 12th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, WiOpt 2014
CountryTunisia
CityHammamet
Period5/12/145/16/14

Fingerprint

Coverage Probability
Cellular Networks
Point Process
Approximation
Network Model
Wireless Networks
Wireless networks
Spatial Model
Stationary point
Stochastic models
Stationary Process
Numerical Computation
Stochastic Model
Siméon Denis Poisson
Numerical Experiment
Model-based
Moment
Metric
Coefficient
Model

All Science Journal Classification (ASJC) codes

  • Computer Networks and Communications
  • Modelling and Simulation

Cite this

Nagamatsu, H., Miyoshi, N., & Shirai, T. (2014). Padé approximation for coverage probability in cellular networks. In 2014 12th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, WiOpt 2014 (pp. 693-700). [6850367] (2014 12th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, WiOpt 2014). IEEE Computer Society. https://doi.org/10.1109/WIOPT.2014.6850367

Padé approximation for coverage probability in cellular networks. / Nagamatsu, Hitoshi; Miyoshi, Naoto; Shirai, Tomoyuki.

2014 12th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, WiOpt 2014. IEEE Computer Society, 2014. p. 693-700 6850367 (2014 12th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, WiOpt 2014).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Nagamatsu, H, Miyoshi, N & Shirai, T 2014, Padé approximation for coverage probability in cellular networks. in 2014 12th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, WiOpt 2014., 6850367, 2014 12th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, WiOpt 2014, IEEE Computer Society, pp. 693-700, 2014 12th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, WiOpt 2014, Hammamet, Tunisia, 5/12/14. https://doi.org/10.1109/WIOPT.2014.6850367
Nagamatsu H, Miyoshi N, Shirai T. Padé approximation for coverage probability in cellular networks. In 2014 12th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, WiOpt 2014. IEEE Computer Society. 2014. p. 693-700. 6850367. (2014 12th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, WiOpt 2014). https://doi.org/10.1109/WIOPT.2014.6850367
Nagamatsu, Hitoshi ; Miyoshi, Naoto ; Shirai, Tomoyuki. / Padé approximation for coverage probability in cellular networks. 2014 12th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, WiOpt 2014. IEEE Computer Society, 2014. pp. 693-700 (2014 12th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, WiOpt 2014).
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