Novel algorithms for optimal waveforms design in multicarrier systems

In this paper we propose novel efficient algorithms that allow optimal waveform design for multicarrier systems, specifically for the Orthogonal Frequency Division Multiplexing (OFDM) based systems. We start from the rapidly time-varying and strongly delay-spread characteristics of the prorogation channel that are used for such transmission systems and include them in the closed-form expression of the Signal to Interference plus Noise Ratio (SINR) of the considered multicarrier system. Using our algorithms for maximizing the derived SINR expression leads to obtain the optimal waveforms at both the Transmitter (Tx) and the Receiver (Rx) sides, that significantly reduce the system Inter-Carrier Interference (ICI)/Inter-Symbol Interference (ISI) and guarantee maximal SINRs for realistic mobile radio channels. Our proposed algorithms allow to design waveforms at the Tx/Rx sides that are adapted to the channel propagation conditions and hence result in spectacular performance enhancement compared to multicarrier systems using conventional waveforms. Simulation results are given to support our claims.