Abstract

We present a comparison between the modified Monte Carlo algorithm (MMCA) and a recently proposed ray-tracing algorithm named as photon-tracing algorithm. Both methods are compared exhaustively according to error analysis and computational costs. We show that the new photon-tracing method offers a solution with a slightly greater error but requiring from considerable less computing time. Moreover, from a practical point of view, the solutions obtained with both algorithms are approximately equivalent, demonstrating the goodness of the new photon-tracing method.

Highlights

  • In the last years, indoor wireless optical communications have drawn the interest of researchers due to the need of high-speed and inexpensive data links, overall in environments where radio frequency links are not always viable

  • In modified Monte Carlo-based ray-tracing algorithm (MMCA), when a ray impinges on a surface, the reflection point is converted into a new optical source, a new ray is generated with a probability distribution provided by the reflection pattern of that surface, RS (θ, θ )

  • The main advantage of Monte Carlo ray-tracing algorithms is that they allow for the evaluation of the impulse response for rooms of complex geometries [7], in contrast to other methods [2,5], without a meaningful increase in the computational cost

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Summary

Introduction

Indoor wireless optical communications have drawn the interest of researchers due to the need of high-speed and inexpensive data links, overall in environments where radio frequency links are not always viable. In order to evaluate the impulse response on indoor wireless optical channels, several deterministic methods were firstly proposed [2]. These methods can only be implemented to determine the impulse response until the third reflection due to their computational complexity. A modified Monte Carlo-based ray-tracing algorithm (MMCA) was introduced, which presents a lower computational cost and without limit in the number of reflections to consider [3, 4]. A new ray-tracing method, which has been denominated photon-tracing algorithm (PTA), has been proposed [8] This method is based on the MMCA but the rays are not always propagated after reflection.

Algorithms description
LOS impulse response
Multiple-bounce impulse response
Computational complexity
Error estimation
Simulation results
Findings
Conclusions
Full Text
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