Uncertainty principles for the biquaternion offset linear canonical transform

Abstract

In this paper, the offset linear canonical transform associated with biquaternion is defined, which is called the biquaternion offset linear canonical transforms (BiQOLCT). Then, the inverse transform and Plancherel formula of the BiQOLCT are obtained. Next, Heisenberg uncertainty principle and Donoho-Stark’s uncertainty principle for the BiQOLCT are established. Finally, as an application, we study signal recovery by using Donoho-Stark’s uncertainty principle associated with the BiQOLCT.