华中科技大学学报（自然科学版）2013，Vol.41Issue(8)：68-73,6.
基于离散余弦变换的全张量磁梯度计算方法
Full tensor magnetic gradient calculation method based on discrete cosine transform
摘要
Abstract
To obtain accurate full tensor magnetic gradient data,a fast method based on discrete cosine transform was proposed.There was the edge effect in computing higher order derivatives of magnetic field using common method of fast Fourier transform(FFT)algorithm.Thus,a solution based on π/2 phase-shifted cosine transform time-differentiation was presented.Using the potential field theory,a unified formula was deduced in order to calculate the full tensor magnetic gradient from the preexisting magnetic anomaly data,and the key algorithms in the computation was also introduced.Numerical analysis demonstrates that most value and characteristics of the estimated data by the novel method compare favorably with reference magnetic gradient data,and the average error is less than 0.05 nT/m precision in the central area.In addition,the influence of edge effect caused by the Fourier transform method can be reduced in the boundary area.关键词
磁异常/全张量磁梯度/边界效应/离散余弦变换/快速傅里叶变换Key words
magnetic anomaly/ full tensor magnetic gradient/ edge effect/ discrete cosine transform (DCT)/ fast Fourier transform(FFT)分类
天文与地球科学引用本文复制引用
刘繁明,张迎发,钱东,荆心..基于离散余弦变换的全张量磁梯度计算方法[J].华中科技大学学报（自然科学版）,2013,41(8):68-73,6.基金项目
国家自然科学基金重点资助项目(60834005). （60834005）
