Abstract: A novel design for a two-channel IIR quadrature mirror filter (QMF) bank with near-perfect reconstruction was presented in this thesis. The analysis filter bank was given by an efficient poly-phase network implementation based on all-pass filters. The arising phase distortions were almost compensated by the synthesis filter bank. Based on the theorry of the perfect reconstruction of QMF , the synthesis filter bank was also given by the stable all-pass filters, designed via analytical closed-form expressions, so the design of IIR QMF was transformed into the design of the phase equalizer. The simulation results show that the abasing and amplitude distortions are completely canceled, and phase distordons minimized at the expense of an additional signal delay. The proposed IIR QMF banks have a lower algorithmic complexity and are always stable.

Key words: QMF bank, IIR filter, All-pass filter, Poly-phase network