论文标题
3D短时间LCT信号的八元光谱
Octonion Spectrum of 3D Short time LCT Signals
论文作者
论文摘要
这项工作致力于Gao and Li在2021年提出的八元线性规范变换（OLCT）理论的发展，该理论已被指定为信号处理方案中的新兴工具。这项工作的目的是引入实价函数的八元线性典型变换。进一步牢记不同的频率，我们使用了所提出的转换来产生一种称为短时八元线性规范变换（Stolct）的新变换。本文的结果集中于线性，重建公式以及与3D短期线性典范变换（3D-STLCT）的关系。本文的关键在于为拟议的转换建立众所周知的不确定性不平等和卷积定理。
This work is devoted to the development of the octonion linear canonical transform (OLCT) theory proposed by Gao and Li in 2021 that has been designated as an emerging tool in the scenario of signal processing. The purpose of this work is to introduce octonion linear canonical transform of real-valued functions. Further more keeping in mind the varying frequencies, we used the proposed transform to generate a new transform called short-time octonion linear canonical transform (STOLCT). The results of this article focus on the properties like linearity, reconstruction formula and relation with 3D short-time linear canonical transform (3D-STLCT). The crux of this paper lie in establishing well known uncertainty inequalities and convolution theorem for the proposed transform.
