Biquaternion Z Transform
Classical Analysis and ODEs
2021-08-09 v1 Complex Variables
Abstract
In this work, the biquaternion Z transformation method is proposed to solve a class of biquaternion recurrence relations. Biqueternion Z transform is an natural extension of the complex Z transform. In the design process, special norm presentation is employed to analyze the region of convergence of the biquaternion geometry sequence. In addition, some useful properties have been given. It is shown that the proposed properties is helpful to understand the biquaternion Z transform. Finally, several examples have been given to illustrate the effectiveness of the proposed design method.
Cite
@article{arxiv.2108.02975,
title = {Biquaternion Z Transform},
author = {Wenshan Bi and Zhen-Feng Cai and Kit Ian Kou},
journal= {arXiv preprint arXiv:2108.02975},
year = {2021}
}