Time-varying and support preservative filter banks: Design of optimal transition and boundary filters via SVD

In this paper, methods for switching filter coefficients and filter bank structures and methods for processing finite length signals will be studied. The problem of designing optimal boundary and transition filters will be solved directly via singular value decomposition (SVD) while the optimality criterion is based on the subband statistics. The optimized filters provide a good match between the subband statistics in transition regions (and at the boundaries) to the statistics in steady state. The filter banks considered are maximally decimated M-channel linear and non-linear phase (biorthogonal and paraunitary) filter banks with real filter coefficients.