Design of unequal order analysis and synthesis filterbanks

Classical design of filterbanks results in equal order inverses, thus resulting in filterbanks with equal analysis and synthesis filter length. Literature shows that there does not exist a simple, systematic method to design a p^th order analysis and q^th order synthesis filterbank where p ≠ q. In this work, we use non diagonal matrix polynomial structure for the design of unequal order analysis and synthesis filters.