It will be great if we can minimize the multiplication errors and perhaps do away with the errors altogether by utilizing quaternion based operations describes

It will be great if we can minimize the multiplication errors and perhaps do away with the errors altogether by utilizing quaternion based operations describes in the OP article [1],[2],[3]. [1] One-Dimensional Quaternion Discrete Fourier Transform and an Approach to Its Fast Computation: https://www.mdpi.com/2079-9292/12/24/4974 https://www.mdpi.com/2079-9292/12/24/4974 [2] Convolution Theorems for Quaternion Fourier Transform: Properties and Applications: https://onlinelibrary.wiley.com/doi/10.1155/2013/162769 https://onlinelibrary.wiley.com/doi/10.1155/2013/162769 [3] On the Matrix Form of the Quaternion Fourier Transform and Quaternion Convolution: https://arxiv.org/abs/2307.01836 https://arxiv.org/abs/2307.01836