Abstract
Quaternion signal processing is frequently used in color image processing. The quaternion windowed linear canonical transform (QWLCT), a generalization of the windowed linear canonical transform (WLCT), has a wide range of application domains, including signal processing and optics. In this paper, we study QWLCT-based characterization range, reproducing kernel, one-one map, Donoho-Stark inequality and Pitt’s inequality. Some useful uncertainty principles (UP) like Heisenberg UP, Lieb UP, and local UP are discussed. Moreover, some applications associated with QWLCT in linear time-varying (TV) systems are explained in detail.