Modeling Asymmetric Aggregate Interference by Symmetric Structures
In this chapter, the circular model from Chap. 11 is extended by non-uniform power profiles along the circles. The enhanced model enables to aggregate given interferer deployments such that the original interference statistics are accurately preserved wh
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Modeling Asymmetric Aggregate Interference by Symmetric Structures Markus Rupp, Stefan Schwarz and Martin Taranetz
In this chapter, the circular model from Chap. 11 is extended by non-uniform power profiles along the circles. The enhanced model enables to aggregate given interferer deployments such that the original interference statistics are accurately preserved while the amount of relevant interferers is reduced considerably. Scaling up the number of base stations per unit area is one of the major trends in mobile cellular systems of the fourth (4G)- and fifth generation (5G) [1], making it increasingly difficult to characterize aggregate interference statistics with system models of low complexity. Tractable interference statistics have mainly been reported in the field of stochastic geometry. When closed-form expressions are desired, this mathematical framework imposes its own particular limitations, typically including spatial stationarity and isotropy of the scenario [2–4]. Hence, the potential to consider an asymmetric interference impact is very limited and notions such as cell-center and cell-edge are, in general, not accessible. Based on [5, 6], the contributions of this chapter outline as follows: • A new circular interference model is introduced. The key idea is to map arbitrary out-of-cell interferer deployments onto circles of uniformly spaced nodes such that the original aggregate interference statistics can accurately be reproduced. The model greatly reduces complexity as the number of participating interferers is significantly reduced. • A mapping scheme that specifies a procedure for determining the power profiles of arbitrary interferer deployments is proposed. Its performance is evaluated by means of Kolmogorov–Smirnov (KS) statistics. The test scenarios are modeled by M. Rupp (B) · S. Schwarz · M. Taranetz Institute of Telecommunications, TU Wien, Vienna, Austria e-mail: [email protected] S. Schwarz e-mail: [email protected] M. Taranetz e-mail: [email protected] © Springer Science+Business Media Singapore 2016 M. Rupp et al., The Vienna LTE-Advanced Simulators, Signals and Communication Technology, DOI 10.1007/978-981-10-0617-3_12
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Poisson Point Processes (PPPs) so as to confront the regular circular structure with complete spatial randomness. It is shown that the individual spatial realizations exhibit largely diverging power profiles. • A new finite sum representation for the Probability Density Function (PDF) of the sum of Gamma Random Variables (RVs) with integer-valued shape parameter is introduced to further enhance and validate interference analysis with the circular model. Its restriction to integer-valued shape parameters is driven by relevant use cases for wireless communication engineering and the availability of exact solutions. The key strength of the proposed approach lies in the ability to decompose the interference distribution into the contributions of the individual interferers. • Statistics of aggregate interference with asym
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