2021/12/15 by Mohd Younus Bhat, Bhat, Mohd Younus, Aamir H. Dar +2
Engineering · Mathematics · #FOS: Electrical engineering #Mathematical Analysis and Transform Methods #Signal Processing (eess.SP) #eess.SP #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.2202.00551
arXiv admin note: text overlap with arXiv:2111.11292
arxiv created 2021/12/15 · openalex publication_date 2021/12/15 · arxiv updated 2022/02/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.