  The uncertainty principle is a fundamental principle in theoretical physics,
such as quantum mechanics and classical mechanics. It plays a prime role in
signal processing, including optics, where a signal is to be analyzed
simultaneously in both domains; for instance, in harmonic analysis, both time
and frequency domains, and in quantum mechanics, both time and momentum. On the
other hand, many mathematicians, physicists, and other related domain
researchers have paid more attention to the octonion-related integral
transforms in recent years. In this paper, we define important properties of
the windowed octonion linear canonical transform (WOCLCT), such as inversion,
linearity, parity, shifting, and the relationship between OCLCT and WOCLCT.
Further, we derived sharp Pitt's and sharp Young-Hausdorff inequalities for 3D
WOCLCT. We obtain the logarithmic uncertainty principle for the 3D WOCLCT.
Furthermore, Heisenberg's and Donoho-Stark's uncertainty principles are derived
for WOCLCT, and the potential applications of WOCLCT are also discussed.
