McClellan transformation and the construction of biorthogonal wavelet bases of L2R2

Bidimensional wavelet bases are constructed by means of McClellanʹs transformation applied to a pair of one-dimensional biorthogonal wavelet filters. It is shown that under some conditions on the transfer function F(ω1,ω2) associated to the McClellan transformation and on the dilation matrix D, it is possible to construct symmetric compactly supported biorthogonal wavelet bases of L2(R2). Finally, the construction method is illustrated by means of numerical examples.