Theory and implementation of arbitrary-length linear-phase cosine-modulated filter bank

In this paper, we propose an arbitrary-length linear-phase cosine-modulated filter bank (CMFB). It can be considered as an extension of the existing linear-phase CMFBs to arbitrary length. It is shown that the 2M-channel arbitrary-length linear-phase CMFB needs to satisfy the same conditions as the conventional M-channel arbitrary-length CMFB does for perfect reconstruction. By using the linear-phase property of a prototype filter, we obtain an efficient implementation structure in which 2×2 lossless lattices are used instead of 2×1 ones in the traditional implementation of the existing linear-phase CMFBs. The total number of the lattices is reduced by half.