DESIGN OF LINEAR-PHASE FILTER BANKS WITH MULTIPLIER-LESS LATTICE STRUCTURES

摘要

In this paper, a new multiplier-less algorithm is proposed for the design of perfect-reconstruction linear-phase (PR LP) filter banks by using multiplier-less lattice structures. Thecoefficients in the multiplication operations have been replaced with limited number of additionsand the computational complexity is reduced significantly. The property of perfectionreconstruction, however, is preserved regardless the multiplier-less approximation of latticestructures in the factorization of polyphase matrix. The coefficients in the 2x2 rotation matrices ofthe lattice structures are expressed as sum-of-powers-of-two (SOPOT) coefficients in theparameterization processes. By using the multiplier-less rotation matrices, the unitary matrices areconstructed for the lattice factorization of perfect-reconstruction linear-phase filter banks. Design examples of 5-channel and 8-channel multiplier-less linear-phase filter banks are included tovalidate the algorithm and implementation.