Optimal design on digital filter algorithm of Hankel transform

2017 3rd International Conference on Energy, Environment and Materials Science

能源学;生态环境科学;材料科学

Zhao, Yun-Wei^1 ; Zhu, Zi-Qiang^1 ; Lu, Guang-Yin^1 ; Li, Jian-Hui^2

School of Geosciences and Info-Physics, Central South University, ChangSha

410083, China^1

Institute of Geophysics and Geomatics, China University of Geosciences, Wuhan

430074, China^2

关键词: Digital filtering;    Filter algorithm;    Hankel Transform;    ITS applications;    Optimal design;    Optimal sampling;    Optimal selection;    Sampling interval;   

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/94/1/012080/pdf
DOI  :  10.1088/1755-1315/94/1/012080

来源: IOP

【 摘 要 】

This study investigates the influence of the parameter c of Hankel transform pairs and sampling interval s on the digital filter of Hankel transform based on the idea of Hankel digital filtering algorithm proposed by Kong. The results show that the selection of the parameter c highly influence the precision of digital filter algorithm, i.e., an inappropriate c can induce algorithm errors. Upon the optimal selection of the parameter c and the constant length of the digital filter, it is found that an optimal sampling interval s also exists to achieve the best precision of digital filter algorithm. Finally, this study proposes six groups of 0-, 1-order Hankel transform digital filters with different length and promote its application.