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Fast Discrete Linear Canonical Transform Based on CM-CC-CM Decomposition and FFT

Fast Discrete Linear Canonical Transform Based on CM-CC-CM Decomposition and FFT

In this paper, a discrete LCT (DLCT) irrelevant to the sampling periods and without oversampling operation is developed. This DLCT is based on the well-known CM-CC-CM decomposition, that is, implemented by two discrete chirp multiplications (CMs) and one discrete chirp convolution (CC). This decomposition doesn't use any scaling operation which …