Digital modulation scheme in four dimensions based on wavelets

Authors

  • Jesús Mauricio Ramírez Viáfara Universidad del Cauca
  • Harold Armando Romo Romero Universidad del Cauca

DOI:

https://doi.org/10.18046/syt.v12i31.1912

Keywords:

Constellation, spectral efficiency, orthonormal wavelet basis, wavelet.

Abstract

Information transmission over noisy channels in an efficient and reliable way is a primary objective of digital communication. In this article we propose a digital modulation scheme with a signal space of four dimensions to increase reliability. The signal space of this scheme is constructed on an orthonormal wavelet basis and its constellation is shaped by the eight farthest vertices of a hypercube centered on origin. For decisions based on minimum Euclidean distance, the proposed modulation scheme overcomes the performance against noise of that of quaternary quadrature amplitude modulation (4-QAM). This result allows us to say that a suitable design of constellation over a signal space with more than two dimensions can achieve a reduction in the bit error rate without a significant reduction of spectral efficiency.

Author Biographies

  • Jesús Mauricio Ramírez Viáfara, Universidad del Cauca

    Engineer in Electronics and Telecommunications and Master (c) in Electronics and Telecommunications (Universidad del Cauca). Professor and researcher of the Electronics and Telecommunications Faculty at the Universidad del Cauca. IEEE member.

     

  • Harold Armando Romo Romero, Universidad del Cauca

    Bachelor degree in Mathematics (Universidad de Nariño, Pasto-Colombia); Engineer in Electronics, Specialist in Networks and Telematic Services, and Master in Electronics and Telecommunications (Universidad del Cauca, Popayán-Colombia). Professor and researcher of the Electronics and Telecommunications Faculty at the Universidad del Cauca. His main interest areas are signal processing and wireless communications. IEEE member.

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Published

2014-12-23

Issue

Vol. 12 No. 31 (2014)

Section

Original Research

License

This journal is licensed under the terms of the CC BY 4.0 licence (https://creativecommons.org/licenses/by/4.0/legalcode).