Non-standard Analysis Filter Bank Design Applied to Hybrid Filter Bank Architecture

The paper presents the possibility of mapping complex amplitude-phase characteristics of an analog analysis filter bank defined on the imaginary axis of a complex S plane on the unit circle of a complex Z plane. This way an equivalent discrete filter bank can be developed and next, used to calculate a discrete synthesis filter bank. The proposed method allows one to maintain stability in the BIBO sense of equivalent discrete filters and allows to reduce the error of mapping of amplitude phase characteristic below an arbitrarily set threshold. In the paper non-standard analog filters has been proposed. Theirs amplitude-phase characteristics at the ends of the HFB system transfer band have real values. As the consequence proposed non-standard filters improves the properties of HFB systems.