Two-dimensional hyper-complex (Quaternion) quadratic-phase Fourier transforms (Q-QPFT) have gained much popularity in recent years because of their applications many areas, including color image and signal processing. At the same time, Wigner–Ville distribution (WVD) analysis processing cannot be ruled out. In this paper, we study two-dimensional associated with transform (WVD-QQPFT) by employi...