Abstract
The Chirp signal has many advantages that widely applied in communication, sonar, radar and other information processing fields as a common pulse compressional signal. The paper brought out an expression of the kernel of the Linear Canonical Transform (LCT) using its eigenfunctions. According to new expression, LCT can be expressed in terms of a new definition. Based on principle of sampling in time and LCT domains, a new definition of Discrete Linear Canonical Transform (DLCT) was put forward. The paper then proposed how to calculate DLCT of chirp signal in accordance with this new definition. Compared with other algorithms presented recently, it has more approximate results of continuous LCT.
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