A Novel Semianalytic Algorithm for Cosine Transform in ATEM Measurement

作者：Yang, Shouwen^*; Shen, Shihan; Ma, Yugang; Wang, Hongnian

来源：IEEE Geoscience and Remote Sensing Letters, 2019, 16(2): 306-309.

DOI：10.1109/LGRS.2018.2871833

• Arbitrarily waveform in airborne transient electromagnetic (ATEM)
• cosine transform
• cube spline interpolation method

First, we directly introduce the cosine transform to compute the time-domain electromagnetic (EM) response excited by cause step turnoff. Then, we advance a novel semianalytic algorithm based on integration, summation, and cube spline interpolation (ISCSI) method to efficiently accomplish the cosine transform. The ISCSI method divides the integral into a sum of partial integrals, which can be solved by cube spline interpolation combined with Newton-Leibniz formula. On the basis, we apply a known convolution method to further compute the time-domain response by arbitrarily waveform in airborne transient EM measurement. Finally, numerical tests valid the ISCSI method is easier to implement and more efficient than the traditional digital filter method because the ISCSI method only requires less frequency sampling amount to accomplish the cosine transform.

• 出版日期2019-2
• 单位吉林大学