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The existence of principal component filter banks (PCFBs) has been proved for the class of one-dimensional (1D), two-channel finite impulse response (FIR) filter banks. The existence issues of two-dimensional (2D), two-channel PCFBs are studied. The support of the filters will vary with the subsampling matrix used. It is seen that the quincunx matrix is optimum in most of the natural images. Moreover,...
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