Factorizations and construction of linear phase paraunitary filter banks and higher multiplicity wavelets

@article{Turcajov1994FactorizationsAC,
  title={Factorizations and construction of linear phase paraunitary filter banks and higher multiplicity wavelets},
  author={Radka Turcajov{\'a}},
  journal={Numerical Algorithms},
  year={1994},
  volume={8},
  pages={1-25}
}
It is known that paraunitary matrices can be factorized into shift products of orthogonal matrices or linear factors. When the number of rows of such a matrix (i.e. the number of channels of a paraunitary filter bank) is even, the symmetry constraints corresponding to the linear phase property of the filter bank can be expressed as restrictions on factors — except the very first one, all must be centrosymmetric. For odd numbers of rows the situation is more complicated. It turns out that… CONTINUE READING

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