Intelligent OFDM Telecommunication Systems Based on Many-Parameter Complex or Quaternion Fourier Transforms

Abstract

In this paper, we propose novel Intelligent quaternion OFDM-telecommunication systems based on many-parameter complex and quaternion transform (MPFT). The new systems use inverse MPFT (IMPFT) for modulation at the transmitter and direct MPFT (DMPFT) for demodulation at the receiver. The purpose of employing the MPFT is to improve: (1) the PHY-LS of wireless transmissions against to the wide-band anti-jamming and anti-eavesdropping communication; (2) the bit error rate (BER) performance with respect to the conventional OFDM-TCS; (3) the peak to average power ratio (PAPR). Each MPFT depends on finite set of independent parameters (angles). When parameters are changed, many-parametric transform is also changed taking form of different quaternion orthogonal transforms. For this reason, the concrete values of parameters are specific “key” for entry into OFDM-TCS. Vector of parameters belong to multi-dimension torus space. Scanning of this space for find out the “key” (the concrete values of parameters) is hard problem. © 2020, The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG.