An alternate cascade factorization for para-unitary matrices

A cascade factorization procedure is derived for paraunitary matrices, resulting in a structure consisting of constant unitary matrices and diagonal matrices of scalar all-pass functions. The factorization is canonic in the number of internal states and includes FIR (finite-impulse-response) lattice and wave lattice filters as particular instances. The procedure exploits the special pole-zero properties of paraunitary matrices and gives greater insight into the structure of such matrices.<
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