Filter-bank design for multicarrier modulation systems with MPSK based on symbol-error-rate evaluation

A novel complex-valued filter-bank design method, for generic multicarrier-modulation (MCM) systems with M-ary phase-shift keying (MPSK), is presented to minimise the symbol error rate (SER). The SER is evaluated by a newly derived closed-form formula, which can be used to evaluate both discrete-Fourier-transform (DFT)-based orthogonal-frequency-division-multiplexing (OFDM) and discrete-wavelet-multitone (DWMT) systems. Monte-Carlo numerical simulations are performed to verify the theoretical SER analysis and compare the error performance of the proposed MCM system with DFT-based OFDM and DWMT systems. It is shown that the derived formula is consistent with simulation results and the newly designed complex-valued filterbank-based MCM system outperforms conventional DWMT systems in terms of the SER and has comparable SER performance with DFT-based OFDM systems with cyclic prefix (CP).