A method of designing filter banks with alias‐free characteristics at equally spaced frequency points
Hitoshi Kiya, Hirotatsu Yamazaki, Yoji Yamada · Electronics and Communications in Japan (Part III Fundamental Electronic Science) · 1995
Abstract It is known that the quadrature mirror filter (QMF) bank used for subband coding cannot avoid the aliasing effect for adaptive signal processing or spectral estimation, etc. A new class of filter banks is desired for these applications where the effect of aliasing should also be considered. In this paper, a new class of filter bank is reported which has alias‐free characteristics at equally spaced frequency points. This filter bank is called frequency sampling filter bank, and it consists of nonrecursive FIR filters. This paper also reports design methods for two types of the filter banks, keeping in mind the reduction in amount of calculation for practical implementation. In one method, all channel filters of the filter bank are determined by complex exponential modulation of a prototype filter. the other method determines the channel filters by cosine or sine modulation of a prototype filter. Both designs have the forementioned aliasing characteristics, and an efficient structure based on polyphase configuration is possible.