Design of PR oversampled DFT transmultiplexers with minimal dimension

In this paper we propose a new design method for oversampled perfect reconstruction (PR) Discrete Fourier Transform (DFT) transmultiplexers (TMUXs). The resulting multicarrier modulation (MCM) systems are characterized by their minimal dimension, i.e., they involve a minimal number of Givens rotations. Our design method is applicable for system parameters that have never been reached before and also provides improved results in terms of out-of-band energy.