Uncertainty Principles Associated with the Multi-dimensional Quaternionic Offset Linear Canonical Transform

Abstract

The paper is concerned with the definition, properties and uncertainty principles for the multi-dimensional quaternionic offset linear canonical transform. First, we define the multi-dimensional offset linear canonical transform based on matrices with symplectic structure. Then, we focus on the definition of the multi-dimensional quaternionic offset linear canonical transform and the corresponding convolution theorem. Finally, some uncertainty principles are established for the proposed multi-dimensional (quaternionic) offset linear canonical transform.