How to complete paraunitary filter banks and simultaneously preserve linear phase?

In this paper, the completion of linear-phase paraunitary filter banks (LPPUFBs) is presented. Given an M-band LPPUFB-admissible scaling filter H-0(z), the proposed method finds a complete parameterization such that the resulting M - 1 bandpass/highpass filters H-i(z) and the given filter H-0(z) form a LPPUFB. Results from completion of a general PUFB will be used in combination with the LP-generating dyadic-based structure, so that the scaling filter H-0(z) of the resulting LPPUFB is as prescribed and linear phase of the filter bank is guaranteed. The design procedure is demonstrated by an example.