Research Article
Formulation Of The Convolution On The Reduced Linear Biquaternion Canonic Transformation
@INPROCEEDINGS{10.4108/eai.16-11-2022.2326138, author={Junaedi Junaedi and Eva Fachria}, title={Formulation Of The Convolution On The Reduced Linear Biquaternion Canonic Transformation}, proceedings={Proceedings of the First Jakarta International Conference on Multidisciplinary Studies Towards Creative Industries, JICOMS 2022, 16 November 2022, Jakarta, Indonesia}, publisher={EAI}, proceedings_a={JICOMS}, year={2022}, month={12}, keywords={theorem convolution linear canonical transformation biquaternion}, doi={10.4108/eai.16-11-2022.2326138} }- Junaedi Junaedi
Eva Fachria
Year: 2022
Formulation Of The Convolution On The Reduced Linear Biquaternion Canonic Transformation
JICOMS
EAI
DOI: 10.4108/eai.16-11-2022.2326138
Abstract
This study aims to formulate convolution for reduced biquaternion linear canonical transform (RBLCT). The research method used in this research was conducted as a library research at the PSDKU Makassar Graphic Engineering Study Program, Graphic Engineering Department, Creative Media State Polytechnic, Makassar. Research results obtained through the definition of RBLCT was obtained by determining the definition of reduced biquaternion Fourier transform (RBFT), and by analyzing the properties. The analysis of properties was conducted by replacing the FT kernel with the RBFT kernel is the definition of LCT. The proposed convolution for RBLCT are the extensions of LCT convolution over the domain of RBLCT domain. This study also reveals an evidence is much simpler since it uses the conjugation properties of RBLCT kernel. As the application of results, the RBLCT convolutions theorems are discussed to analyze the frequency-swift filter in general.