Construction and Analysis of Quaternion MIMO-OFDM Communications Systems

  • Luís Meloni Departamento de Comunicações (DECOM) Universidade Estadual de Campinas
  • José Luis Hinostroza Ninahuanca Departamento de Comunicações (DECOM) Universidade Estadual de Campinas
  • Osmar Tormena Junior Academic Department of Electronics Federal Technological University of Paraná
Keywords: Quaternion MIMO-OFDM, quaternion Fourier transform, combined diversities, frequency-selective fading channels, cross-polarized antennas.

Abstract

Wireless communications systems with progressively higher spectral efficiency have been investigated in past decades. A promising area of research is the use of hypercomplex algebras, notably, the use of the quaternion algebra. This paper considers the construction of multiple-input-multiple-output (MIMO) orthogonal frequency division multiplexing (OFDM) using the algebra of quaternions. Several construction techniques for quaternion orthogonal code designs have been proposed in recent years, which offer the possibility to explore diversities in variate domains, such as space, time, frequency, and polarization, in addition to combinations thereof. This paper presents a formulation for quaternion MIMO-OFDM in matrix form as an extension of the classical formulation that uses complex variables. Quaternions allow elegant representation of pairs of radiant elements in physical antennas configured for cross-polarized propagation. Several simulations validate the proposed method in diverse scenarios for wireless communications, in which combined diversities have been exploited.
Published
11-09-2017
How to Cite
Meloni, L., Hinostroza Ninahuanca, J. L., & Tormena Junior, O. (2017). Construction and Analysis of Quaternion MIMO-OFDM Communications Systems. Journal of Communication and Information Systems, 32(1). https://doi.org/10.14209/jcis.2017.9
Section
Regular Papers