New structures for adaptive filtering in subbands based on transmultiplexers

A maximally decimated (MD) structure is presented for adaptive filtering based on perfect reconstruction (PR) transmultiplexers (TMUXs) and a system representation that results from their dual filter banks (FBs). The structure is computationally very efficient adapting at the low data rate a number of coefficients that exceeds only by a small amount the length of the unknown system. For colored inputs the structure presents a higher convergence rate (CR) from the Full-band LMS algorithm. These characteristics are investigated through simulation experiments where the proposed structure is also compared with other recently proposed approaches and found to have a similar performance.