Two Channel Perfect Reconstruction Multirate Filter Bank Based on Linear Canonical Transform

The multirate digital signal processing (DSP) is required in digital system where more than one sampling rate is required. In this paper, we propose the two channel (2dimensional) perfect reconstruction multirate filter bank, which is based on the linear canonical transform. The main motivation is the fact that Linear Canonical Transform (LCT) provides a general mathematical tool with very broad applicability in many fields of science and engineering. Although it is not very much known, its special cases are widely used in various fields, often under different names. This type of filter banks are derived in terms of polyphase matrices & modulations (Alias component) matrices. The filter bank introduces various distortions like alias distortion, amplitude distortion and phase distortion into the signal. A Perfect Reconstruction filter bank (PRFB) is any filter bank whose reconstruction is the original signal, possibly delayed and possibly scaled by a constant. PRFB will be generated, when all distortion will be eliminated.