基于小波分析和密度估计的红移测速导航研究

基于光谱红移天文自主导航思路以及天文学领域求解红移值的方法，提出一种用小波分析和密度估计相结合的方法测飞行器红移值，进而求解速度的测速导航方法。首先采用小波变换滤除噪声并进行光谱归一化，然后采用整体阈值和局部阈值相结合的方法，提取特征谱线，用密度估计法求出红移值，最后结合天文测角信息，计算出飞行器相对于惯性坐标系的速度。采用实测的太阳光谱数据，进行了红移模拟与解算。实验证明该方法在高信噪比的情况下，计算速度快，求解结果精度高达96％，为基于光谱红移的天文导航提供一种新的速度计算方法。

Researcho n Measurement of Spectrum Redshift in Velocity Navigation Using Wavelet Analsy is and De nsiyt EstimationM teh od

Based on idea of spectrum redshift astronomical autonomous navigation and method for astron-omy solving a redshift, presents a velocity celestial navigation method, which measures a vehicle redshifts u-sing the method of wavelet analysis combined with density estimation, and solves the vehicle’ s speed.First, wavelet transform is used to filter the noise and normalize spectrum.Then the characteristic spectral lines are extracted by combining the global threshold and local threshold, and the redshift value is calculated using den-sity estimation method.Finally combining with the astronomical angle information, the speed of the vehicle rel-ative to inertial coordinate system is calculated.Using the observed data of the solar spectrum, simulation and calculation of the redshift are conducted.The experiments prove that in the high SNR, the method has features of fast calculation, high precision of solving results, the accuracy rate reached 96%, and provides a new speed calculation method for celestial navigation based on spectral redshift.