Novel Uncertainty Principles Related to Quaternion Linear Canonical S-Transform

Abstract

In this work, we introduce the quaternion linear canonical S-transform, which is a generalization of the linear canonical S-transform using quaternion. We investigate its properties and seek the different types of uncertainty principles related to this transformation. The obtained results can be looked as an extension of the uncertainty principles for the quaternion linear canonical transform and the quaternion windowed linear canonical transform.

Keywords

• quaternion linear canonical transform
• S-transform
• Pitt inequality
• quaternion windowed linear canonical transform