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Multi-Dimensional Bounds on Time-of-Arrival Statistics in Random Scattering Channels

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Abstract

Bounds on Gaussian and hyperbolic time-of-arrival (ToA) probability density functions (pdfs) in multi-path mobile environments are derived. The bounds are expressed as functions of the coverage distance D between a base station (BS) and a user equipment (UE), and the propagation time ratio τ n = τ/τ 0 where τ is the general time delay and τ 0 is the nominal time delay between the BS and the UE via the direct line-of-sight path. Detailed discussions on the variation of the ToA pdfs in 1-D and 3-D are given which are useful for system modelling in mobile environments.

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Authors and Affiliations

  1. School of Engineering, Building XB, College of Health and Science, University of Western Sydney, Locked Bag 1797, Penrith South DC, NSW, 1797, Australia

    Khoa N. Le

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  1. Khoa N. Le
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Correspondence to Khoa N. Le.

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Le, K.N. Multi-Dimensional Bounds on Time-of-Arrival Statistics in Random Scattering Channels. Wireless Pers Commun 57, 195–205 (2011). https://doi.org/10.1007/s11277-009-9852-7

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  • DOI: https://doi.org/10.1007/s11277-009-9852-7

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