In this article, we introduce the notion of linear canonical wave packet transform in quaternionic settings and we name it the quaternionic linear canonical wave packet transform (QLCWPT). Firstly, we establish the fundamental properties, viz. linearity, anti-linearity, parity, scaling, dilation and Parseval’s identity. Furthermore, some key harmonic analysis results like energy conservation, inversion formula, characterization of range and some bounds of QLCWPT are obtained. Towards the culmination of this paper, we established Heisenberg’s uncertainty principle and logarithmic uncertainty principle associated with the proposed transform (QLCWPT).

在本文中，我们介绍了四元数设置中的线性规范波包变换的概念，我们将其命名为四元数线性规范波包变换 (QLCWPT)。首先，我们建立基本属性，即。线性、反线性、奇偶校验、缩放、膨胀和 Parseval 的恒等式。此外，还得到了QLCWPT的能量守恒、反演公式、范围表征和一些界等关键谐波分析结果。在本文的高潮部分，我们建立了与提议的变换 (QLCWPT) 相关的海森堡不确定性原理和对数不确定性原理。