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he octonion offset linear canonical transform can be defined as a timeshifted and frequency modulated version of the octonion linear canonicaltransform, a more general framework of most existing signal processing tools.In this paper, we first define the and provide its closed-form representation.Based on this fact, we study some fundamental properties of proposed transformincluding inversion formula, norm split and energy conservation. The crux ofthe paper lies in the generalization of several well known uncertaintyrelations for the that include Pitts inequality, logarithmic uncertaintyinequality, Hausdorff Young inequality and local uncertainty inequalities.

Uncertainty Inequalities for 3D Octonionic-valued Signals Associated with Octonion Offset Linear Canonical Transform