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An Alternative Method to Compute the Bit Error Probability of Modulation Schemes Subject to Nakagami- Fading

Abstract

This paper presents an alternative method for determining exact expressions for the bit error probability (BEP) of modulation schemes subject to Nakagami- fading. In this method, the Nakagami- fading channel is seen as an additive noise channel whose noise is modeled as the ratio between Gaussian and Nakagami- random variables. The method consists of using the cumulative density function of the resulting noise to obtain closed-form expressions for the BEP of modulation schemes subject to Nakagami- fading. In particular, the proposed method is used to obtain closed-form expressions for the BEP of -ary quadrature amplitude modulation (-QAM), -ary pulse amplitude modulation (-PAM), and rectangular quadrature amplitude modulation (-QAM) under Nakagami- fading. The main contribution of this paper is to show that this alternative method can be used to reduce the computational complexity for detecting signals in the presence of fading.

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Correspondence to Marcelo S. Alencar.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Queiroz, W.J.L., Lopes, W.T.A., Madeiro, F. et al. An Alternative Method to Compute the Bit Error Probability of Modulation Schemes Subject to Nakagami- Fading. EURASIP J. Adv. Signal Process. 2010, 574109 (2010). https://doi.org/10.1155/2010/574109

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Keywords

  • Quantum Information
  • Amplitude Modulation
  • Fading Channel
  • Error Probability
  • Additive Noise