摘要
为获得高精度重力梯度数据,实现基准梯度数据库精确快速构建,研究利用数字高程模型正演重力梯度的频率域快速计算方法,推导出基于余弦变换的Parker正演重力梯度理论公式。数值试验结果表明,余弦变换频率域正演方法平均绝对误差可达到0.5 E左右精度要求,与傅里叶变换正演方法相比误差可减小3 dB左右,与棱柱法等空间域正演方法相比,该方法计算规模小,速度优势明显。
In order to obtain accurate gradient data and build the gravity gradient reference database quickly,the fast frequency method for digital elevation model forward gravity gradient is investigated in detail.A novel Parker＇s forward formula based on cosine transform has been deduced to calculate the full tensor gravity gradient,and then discusses accuracy and calculation time of the frequency method by numerical experiment.The simulation tests and analysis show that,the mean Abstract error of gradient data forwarded by our Parker＇s forward method is estimated to be less than 0.5 E precision.The errors of this solution decreased by 3 dB in comparison to Fourier transform Parker＇s forward method.Comparing with spatial domain rectangular prism numerical methods,it gives better apparent advantages over calculating scale and efficiency.
出处
《测绘学报》
EI
CSCD
北大核心
2013年第2期177-183,190,共8页
Acta Geodaetica et Cartographica Sinica
基金
国家自然科学基金(60834005)
