Layered Multicarrier Modulation Scheme Based on Prolate Spheroidal Wave Functions with Signal Grouping Optimization

In this paper, we propose a novel scheme termed layered multicarrier orthogonal modulation based on prolate spheroidal wave functions with signal grouping optimization (L-MCM-PSWFs-SGO). The proposed method performs group optimization and layering on PSWFs signals, and conveys information by index modulation (IM) and pulse amplitude modulation (PAM), which can improve spectral efficiency (SE) on the premise of ensuring high energy concentration of the signal waveform. Firstly, according to the number of PSWFs signal and packets, the PSWFs signals with high energy concentration are selected to ensure that the signal waveform has high energy concentration. Secondly, the proposed method adopts 2-layer signal indexes with different signal number, and uses IM and PAM for information mapping, which aims to increase the number of modulation symbol combinations and improve SE. Theoretical and simulation analysis shows that, compared with the multi-carrier orthogonal modulation based on PSWFs and the classical orthogonal frequency division multiplexing with IM, the proposed method can effectively improve the system SE and bit error ratio performance without significantly reducing the signal energy concentration and peak-to-average power ratio.