Biquaternion Z Transform

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.

Theories and applications associated with biquaternion linear canonical transform

“…In this paper [22], some general properties of BiQFT were exploited, and the Hermitian symmetries of the BiQFT and their relation to the geometric nature of a biquaternion-valued function were investigated. Recently, Bi et al [27] proposed the biquaternion Z transformation, and using the transform to solve a class of biquaternion recurrence relations.…”