Affiliation:
1. Department of Mathematical Sciences, Islamic University of Science and Technology, Kashmir
Abstract
The quaternion offset linear canonical transform (QOLCT) which is
time-shifted and frequencymodulated version of the quaternion linear
canonical transform (QLCT) provides a more general framework of most
existing signal processing tools. For the generalized QOLCT, the classical
Heisenberg?s and Lieb?s uncertainty principles have been studied recently.
In this paper, we first define the short-time quaternion offset linear
canonical transform (ST-QOLCT) and derive its relationship with the
quaternion Fourier transform (QFT). The crux of the paper lies in the
generalization of several well known uncertainty principles for the
ST-QOLCT, including Donoho-Stark?s uncertainty principle, Hardy?s
uncertainty principle, Beurling?s uncertainty principle, and Logarithmic
uncertainty principle.
Publisher
National Library of Serbia
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