Optimal design on digital filter algorithm of Hankel transform

Abstract

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.