基于高斯径向基的子区域优化温度场重建算法

摘要

In the application environment where measuring the temperature in the process of industrial heating,the reconstruc-tion algorithm is the key to realize the measurement of temperature field by using ultrasonic.In order to solve the problem,this paper developed a reconstruction optimization algorithm without changing the number of effective ultrasonic wave.It used the perfect function approximation ability of Gaussian radial basis function to implement the mapping relations between the sound wave propagation velocity and the temperature distribution,then reconstructed the measured temperature field through the ma-trix singular value decomposition.The algorithm had reconstructed four kinds of typical model of temperature field:unimodal skewed,unimodal symmetric,bimodal deflection and bimodal symmetrical under different Gaussian noise interference in the simulation experiments.The simulation results have proved that the algorithm has the advantages of high reconstruction preci-sion,strong anti-jamming capability and fast response speed.%在采用超声波进行工业加热过程中的温度场测量时，重建算法是实现被测温度场重建的关键。针对这一问题，提出一种基于高斯径向基函数的子区域优化温度场重建算法，不改变有效声线数，细化子区域，运用高斯径向基函数，逼近超声波传播速度与温度分布的映射关系，通过矩阵奇异值分解重建被测温度场。针对单峰偏斜／对称、双峰偏斜／对称四种典型模型温度场，在不同高斯噪声干扰下进行温度场重建仿真实验，结果表明：该算法重建精度高、抗干扰能力强、响应速度快。