Orthonormal filter banks with linear phase filters
A.K. Soman, Palghat P. Vaidyanathan, T.Q. Nguyen · 2003
Maximally decimated perfect-reconstruction filter banks which are used to decompose signals into subbands are discussed. Paraunitary systems in which each individual filter in the analysis and synthesis banks has linear phase are described. Several theoretical questions pertaining to linear phase paraunitary systems are answered. A factorization for such systems that is minimal as well as complete is presented. The number of parameters in the optimization process is reduced by structurally imposing the additional condition that the filters satisfy pairwise mirror-image symmetry in the frequency domain. Examples of M-band linear phase orthonormal wavelets are also presented.>