基于模拟退火的傅里叶变换成像光谱仪干涉图相位修正

Simulated Annealing Based Phase Correction of Interferogram in Fourier Transform Imaging Spectrometer

相位修正是傅里叶变换成像光谱仪光谱复原的关键技术之一,针对现有算法对带有噪声的干涉图相位修正不足的问题,文章提出了一种基于模拟退火算法求解相位误差的修正方法。该方法通过控制相位下降函数,利用相位区间内产生的随机相位值修正干涉图数据得到目标函数值,依据Metropolis准则判断目标函数增量以确定相位最优解。该算法仿真结果表明,优化出的相位误差小于0.5%,光谱复原的相对光谱误差精度和稳定性均小于1%,较现有算法有显著提高。

Phase correction is one of the key technologies in the spectrum recovery of the Fourier transform imaging spectrometer.The present paper proposes a correction method based on simulated annealing algorithm to calculate phase error,which overcomes the disadvantage of the existing methods that can not correct the interferogram with noise.The method determines the phase optimum solution by controlling the phase decrease function,attaining objective function value by correcting interferogram data with random phase value generated in the phase range,and determining the objective function increment in accordance with the Metropolis criterion.The simulation result of the algorithm indicates that the optimized phase error is less than 0.5%,and both the error accuracy and stability of the spectrum-recovered relative spectrum is less than 1%,which is a great improvement compared with the existing algorithm.