线性完整变换（LCT）域的Hilbert变换

he Hilbert Transform is an important signal processing tool, it is used in many applications, such as modulations, edge detection and the filter design in signal processing, an analytic signal and its original signal are connected by HT. At the same time, the Linear Canonical Transform is the generalized form of Fourier Transform and the Fractional Fourier Transform., it can be considered as a general linear transform. This paper proposed the definition and properties of Hilbert Transform in Linear Canonical Transform Domain. Some important properties of this kind of Hilbert transform are given, and we also show that the newly defined Hilbert transform has some similar properties with the Hilbert Transform in Fourier Transform Domain.