Lieb^s Inequality for Quaternion Linear Canonical S-Transform
Dahnial Damang, Mawardi Bahri, Nasrullah Bahtiar, Syamsuddin Toaha

Hasanuddin University

Abstract

In this work, we introduce the quaternion linear canonical S-transform, which is a generalization ofthe linear canonical S-transform using quaternion. We collect its properties. We then present the relation between QLCT and QLCST. We utilize properties and relation for establishing lieb^s inequality for the quaternion linear canonical S-Transform.

Keywords: quaternion linear canonical transform, S-transform, lieb^s inequality, quaternion

Topic: Complex Analysis