Revisit of uncertainty principles via OPS method approach in the framework of quaternion quadratic phase Fourier transform

In this paper, we explore various uncertainty principles within the framework of the quaternion quadratic phase Fourier transform (QQPFT), which is the quaternion extension of the quadratic phase Fourier transform (QPFT). First, using the orthogonal plane split (OPS) method of quaternions, we observe the relation between QPFT and QQPFT. Later, using the OPS method, we formulate sharp Young–Hausdorff inequality, Pitt’s inequality, logarithmic uncertainty principle, entropy uncertainty principle, Heisenberg uncertainty principle, and Nazarov’s uncertainty principle for QQPFT.