基于Tau域奇异值分解的航空电磁数据解卷积计算  

Airborne Electromagnetic Data De-Convolution Based on Singular Value Decomposition of the Tau Domain

作　　者：王亚冉[1] 王凌群 尹大伟[1] 朱凯光[1] 

机构地区：[1]吉林大学仪器科学与电气工程学院,吉林长春130061

出　　处：《测控技术》2014年第1期47-50,共4页Measurement & Control Technology

基　　金：国家自然科学基金资助项目(41274076);国家重大科研装备研制资助项目(ZDYZ2012-1-03);国家高技术研究发展计划(863计划)资助项目(2013AA063904)

摘　　要：目前很多国际先进公司的AEM系统都具有不同的发射波形,给后续数据处理带来不便。为去除不同发射电流波形对电磁数据响应的影响,利用SVD分解法,以e指数为基函数,将时域航空电磁响应数据展开成Tau域参数T_i及其系数A_i形式,通过选取有效个数的Tau值,将基函数与发射电流进行卷积,形成新基底函数。通过对相应发射电流的响应以新基底展开,将新基底系数B_i与原基底结合,实现解卷积计算,得到阶跃波形发射电流情况下的电磁响应。仿真实例计算结果表明,经奇异值分解的Tau域分解方法保证了计算的精度和稳定性,基于奇异值分解的解卷积计算方法能够获得原阶跃电流响应,相对误差为1.61%。Nowadays, advanced AEM systems of many international companies have different transmitter wave- forms, which make inconvenience for the subsequent data processing. To remove the influence of transmitter waveforms to the electromagnetic response, the singular value decomposition（SVD） method, and based on e ex- ponential function, the parameters τi and their coefficients Ai of time-domain airborne electromagnetic response data of Tau-domain are extracted. By choosing effective number of Taus, the pre-eonvolution between the basis functions and the emission current is done to form a new basis function. By expanding the response of the rela- tive emission current with a new base, and combining the coefficient Bi of the new base with the original base, the de-convolution calculation is realized, and the electromagnetic response of step emission current is ob- tained. The simulation results show that the Tau-domain decomposition method reduced by rank SVD ensures the accuracy and stability of the calculations. By using de-convolution calculation method based on SVD, the o- riginal step current response is gotten, and the relative,, error is about 1.61%.

关 键 词：Tau域分解 SVD奇异值分解法 解卷积 

分 类 号：P631[天文地球—地质矿产勘探]