Many-Parameter Quaternion Fourier Transforms for Intelligent OFDM Telecommunication System

  • Valeriy G. LabunetsEmail author
  • Ekaterina Ostheimer
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 1126)


In this paper, we aim to investigate the superiority and practicability of many-parameter quaternion Fourier transforms (MPQFT) from the physical layer security (PHY-LS) perspective. We propose novel Intelligent OFDM-telecommunication system (Intelligent-OFDM-TCS), based on MPFT. New system uses inverse MPQFT for modulation at the transmitter and direct MPQFT for demodulation at the receiver. The purpose of employing the MPFTs is to improve the PHY-LS of wireless transmissions against to the wide-band anti-jamming communication. Each MPQFT depends on finite set of independent parameters (angles), which could be changed independently one from another. When parameters are changed, multi-parametric transform is also changed taking form of a set known (and unknown) orthogonal (or unitary) transforms. We implement the following performances as bit error rate (BER), symbol error rate (SER), the Shannon-Wyner secrecy capacity (SWSC) for novel Intelligent-MPWT-OFDM-TCS. Simulation results show that the proposed Intelligent OFDM-TCS have better performances than the conventional OFDM system based on DFT against eavesdropping


Many-parameter transforms Quaternion fourier transform OFDM Telecommunication system Anti-eavesdropping communication 



The reported study was funded by RFBR, project number 19-29-09022-мк and by the Ural State Forest Engineering’s Center of Excellence in «Quantum and Classical Information Technologies for Remote Sensing Systemsю.


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Copyright information

© The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Ural State Forest Engineering UniversityEkaterinburgRussian Federation
  2. 2.Capricat LLCPompano BeachUSA

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