An Inequality for Linear Canonical Transform

In our previous work, we established some basic poverties of the linear canonical transform and obtained alternative form of convolution and correlation theorems. In this paper, we study essential properties of the linear canonical transform (LCT). The properties are modifications of the classical Fourier transform properties. They are very need in applying LCT in signal processing. In addition, we formulate an inequality associated with the LCT, which is different from the uncertainty principle in literature.