区域地磁场的连续傅里叶分析建模方法

摘要

The foundation of the regional geomagnetic anomaly field model using fast Fourier series was researched, and the detail computing method was presented. The expression of the model is seriate and the format is concise, which are propitious to using in geomagnetic matching aided INS. Last, one actual application in regional geomagnetic field was presented, regional geomagnetic field was modeled by using FFT fitting and compared with the traditional Taylor polynomial fitting. The simulation results indicated that FFT fitting had better precision compared with Taylor polynomial fitting, and was able to fulfil the demand of the geomagnetic matching aided INS to regional geomagnetic field.%研究了利用快速傅里叶(FFT)拟合方法建立连续局部地磁场模型,给出了详细的计算方法.建立的局部地磁场表达式是连续的且形式十分简明,有利于地磁匹配辅助惯性导航的实现.最后,给出了某一地磁异常场的实例,用FFT拟合方法建立了局部地磁异常场模型并与传统的Taylor多项式建模方法进行了比较.仿真结果表明,FFT拟合建模方法精度明显高于Taylor多项式建模方法,可以满足地磁匹配辅助惯导对区域地磁场的要求.