Sharper version of uncertainty principles in the framework of quaternion Fourier transform

The quaternion Fourier Transform (QFT) finds extensive applications across various domains, such as signal processing and optics. This paper strengthens two important uncertainty principles for QFT. First, we proposed two different sharper versions of generalized Heisenberg’s uncertainty principle associated with quaternion Fourier transform in [Formula: see text] space for [Formula: see text]. Also a new version of Donoho–Stark’s uncertainty principle associated with QFT is discussed. Furthermore, in some particular case this new Donoho–Stark’s uncertainty principle is the sharper version than the existing one in quaternion sense.