Assessment of NPR MDFT Filter Banks for Subband Coding and Data Transmission

Nearly perfect reconstruction (N-PR) modified discrete Fourier Transform (MDFT) filter banks (FBs) have been widely applied to signal coding and their use for data transmission in multicarrier communications has also been addressed in the literature. However, comparison and assessment of the performance of alternative designs for uniform N-PR MDFT-based systems is hampered by the lack of explicit formulas for easily calculating their expected performance. In this sense, this work introduces a unified formulation which can be used for the three different kinds of uniform N-PR MDFT filter banks which have been described in the literature. We demonstrate that the relationship between output and input signals is identical for all of them when a filter bank (FB) configuration is considered. From this expression, amplitude distortion and aliasing errors can be measured. With respect to filter bank multicarrier (FBMC) systems, two new measures that bound the maximum level of intercarrier and intersymbol interferences are defined.