Design of low‐delay perfect‐reconstruction filter banks using linear programming

In many applications of filter banks, a low-delay filter bank in which the system delay is small is desirable. In this paper, two new design methods are proposed for low-delay perfect-reconstruction filter banks. First, a design method is described for a two-channel perfect-reconstruction filter bank suitable for subband coding. In this method, a high-pass filter for perfect reconstruction is designed for an arbitrary low-pass filter. Next, a design method is described for an oversampling perfect-reconstruction DFT filter bank suitable for subband adaptive filter. In this method, a prototype filter for a perfect-reconstruction synthesizer is designed for the prototype filter for an arbitrary analyzer. The effectiveness of the present method is demonstrated by design examples. © 2001 Scripta Technica, Electron Comm Jpn Pt 2, 84(6): 30–39, 2001