Factorization of Filter Banks Through Lifting Scheme
Zhou Yu · Dianzi xuebao · 2003
The decomposition of the multi channel filter banks has been discussed.It is known that any discrete wavelet transform or two band subband filtering with finite filters can be decomposed into a finite sequence of simple lifting steps.The proof of this decomposition is provided using an algebraic method.It is also proved that multi channel filter does not have this decomposition.It proposes using lifting scheme and block factorization of the polyphase matrix to construct 2M channel FIR filter banks from M channel FIR filter banks. This method is easy to build non linear filter banks, such as integer-integer transforms.