光学学报, 2010, 30 (9): 2536, 网络出版: 2014-05-15
一种通用白光LED数学发光模型研究
Research on Generalized Mathematic Radiation Model for White LED
室内可见光通信 白光LED 通用数学发光模型 非线性回归估计 indoor visible light communications white LED generalized mathematic radiation model nonlinear regression
摘要
白光LED发光模型是室内可见光通信系统设计与分析的重要基础。在对白光LED的光子出射机理进行分析和分类的基础上,提出了一种通用白光LED的数学发光模型。该模型以朗伯模式为基础,叠加不同分量的高斯模式,白光LED的结构和材质参数决定了模式的数量、权重和方向性。通过基于高斯-牛顿迭代的非线性回归估计算法,估算出各种类型白光LED发光模型的具体参数。仿真结果表明:该数学发光模型便于计算,适用于不同厂商生产的商用白光LED,模型数值与厂商数值之间相似度系数均大于95%,具有较高的准确性。
Abstract
The white LED radiation model is an important foundation for the design and analysis of indoor visible light communications. Based on the research of the mechanism of photon radiation for white LED, a generalized white LED mathematic radiation model is proposed, which is composed of Lambert pattern and Gauss pattern. And the quantities, weights and directions of patterns are determined by the structure and material of white LED. Using nonlinear regression estimation based on GaussNewton iterative algorithm, the parameters of model matching with all kinds of white LEDs are estimated. Simulation results show that this mathematic model suitable to commercial white LEDs from different manufacturers is easy to calculate, and that all the coefficients of similarity between values of model and those of LED manufacturers are larger than 95%, and that the mathematic radiation model has a high accuracy.
丁德强, 柯熙政. 一种通用白光LED数学发光模型研究[J]. 光学学报, 2010, 30(9): 2536. Ding Deqiang, Ke Xizheng. Research on Generalized Mathematic Radiation Model for White LED[J]. Acta Optica Sinica, 2010, 30(9): 2536.