A novel approach to the design of filters for filter banks

In this paper a design technique is given for filters with certain constraints on their transition bands. Filters designed by the proposed procedure can be used in conventional polyphase filter banks as well as in quadrature mirror filter (QMF) banks for a unity transfer function (besides a linear phase term) of a cascaded analysis/synthesis system. Additional design criteria can be met approximately as the given technique leads to a usually large number of solutions with different phase characteristics for the subsystems. The described method is an analytical one, whereas up to now filter designs for these purposes were mostly based on optimization procedures or iterative algorithms.