Spatial Interpolation of Optical Wireless Impulse Responses

Abstract

In this paper, spatial interpolation is proposed as a time-saving technique for the estimation of the different Optical Wireless Impulse Responses which result from the nodes' position changes in the mobility modeling of wireless optical communications. Typically, in this kind of analysis, the time-dependent impulse response is calculated numerically at each point of the path. However, this approach may result prohibitive due to the computation time. In this work, a support domain distributed on the moving area is defined, and accurate impulse responses for the domain's points are obtained using a Monte Carlo Ray Tracing algorithm. Then, using this support, Lagrange interpolation method is applied for quick calculation out-of-the-support positions' impulse responses. In this way, the impulse response for those points included in nodes' path can be obtained without a high time and computational cost. The Lagrange interpolants were essayed with successful results, suggesting that the proposed technique may become relevant in upcoming statistical modeling in mobility situations.