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 H₀(z), the proposed method finds a complete parameterization such that the resulting M - 1 bandpass/highpass filters Hi(z) and the given filter Ho(z) form an LPPUFB. Results from completion of a general PUFB are used in combination with the LP-generating dyadic-based structure, so that the scaling filter H₀(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.