Multiplierless perfect reconstruction modulated filter banks with sum-of-powers-of-two coefficients

This paper proposes an efficient class of perfect reconstruction (PR) modul ated filter banks (MFB) using sum-of-powers-of-two (SOPOT) coefficients, Th is is based on a modified factorization of the DCT-IV matrix and the lossle ss lattice structure of the prototype filter, which allows the coefficients to be represented in SOPOT form without affecting the PR condition. A gene tic algorithm (GA) is then used to search for these SOPOT coefficients, Des ign examples show that SOPOT MFB with a good frequency characteristic can b e designed with very low implementation complexity. The usefulness of the a pproach is demonstrated with a 16-channel design example.