A Simplified Proof of Uncertainty Principle for Quaternion Linear Canonical Transform

By Mawardi Bahri, Ryuichi Ashino. 2016

61 citations recorded by the source corpus.

We provide a short and simple proof of an uncertainty principle associated with the quaternion linear canonical transform (QLCT) by considering the fundamental relationship between the QLCT and the quaternion Fourier transform (QFT). We show how this relation allows us to derive the inverse transform and Parseval and Plancherel formulas associated with the QLCT. Some other properties of the QLCT are also studied.

Subfields: Applied Mathematics, Astronomy and Astrophysics

View Paper: https://www.semanticscholar.org/paper/a82fbf331f9432817ff464957cae4cd89faf1ddf