激光测高仪高斯回波分解算法

Algorithm of laser altimeter reflecting waveform based on Gaussian decomposition

地球表面地形的复杂多样可对激光测高仪回波波形产生显著影响,造成多峰叠加形状,该波形通过经典的阈值比较或重心点等算法很难精确得到激光足印内每个反射面的海拔高度。通过高斯分解法把测高回波波形分解成一系列连续的高斯波形,通过拟合得到每个高斯波形的宽度、中心点、幅度等基本参数来估计激光足印内起伏地形的不同反射面的海拔高度。将该算法应用于激光测高仪原理样机,并通过采集不同地形的多模回波数据对该算法进行了验证。

The reflecting waveform will interact with complex terrain on the earth and cause superposition peak shape.The classic algorithm of threshold comparison or focus point is difficult to accurately obtain the desired reflecting surface elevation.To decompose a return waveform into a series of Gaussian components,the number of the Gaussian components and the position,half-width and amplitude of each Gaussian component were obtained.From these basic parameters,the topographic information as the elevations and distributions,the surface slope and roughness,and the albedos of distinct reflecting surfaces within the laser footprint were got by fitting.At last,the Gaussian decomposition method by a prototype of laser altimeter which was used to collect the signal in the country was validated.The results show that this method is adapted to fit the echo signal of laser altimeter on different earth surface.