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Performance Enhancement of Gaussian Minimum Shift Keying Using Optimum Phase Sampling Technique for Turbulent Free-Space Optical Communication

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Abstract

In this paper, analytical performances of Gaussian minimum shift keying (GMSK) are studied for free space optical communication system. Authors propose an innovative sampling technique called, optimum phase sampling technique to investigate the bit error performance of GMSK modulation. Subsequently, performances of GMSK like, bit error rate (BER), power spectral density, and adjacent carrier interference (ACI) have also been investigated and compared with other modulation techniques. Furthermore, return to zero (RZ) coding input bit stream prior to GMSK technique improves the ACI performance of GMSK. To end with, we present the improvement of degradation parameter (γ) in a tabular form through phase sampling technique. Moreover, both optimum phase sampling and narrow pulse shaping of RZ-GMSK obtains near optimal result of BER. The numerical results show, that the proposed phase sampled RZ-GMSK of 70% duty cycle at BT = 0.6 has a degradation value of 0.979, which is comparable to GMSK at BT = ∞. Moreover, the proposed RZ-GMSK achieves lower ACI value and has an error rate of 7 × 10−7, which is lower than the GMSK of 1 × 10−6 BER value.

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Authors and Affiliations

  1. Electronics and Communication Engineering Department, Motilal Nehru National Institute of Technology Allahabad, Allahabad, Uttar Pradesh, 211004, India

    Pritam Keshari Sahoo, Yogendra Kumar Prajapati & Rajeev Tripathi

Authors
  1. Pritam Keshari Sahoo
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  2. Yogendra Kumar Prajapati
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  3. Rajeev Tripathi
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Correspondence to Yogendra Kumar Prajapati.

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Appendix

Appendix

Following parameters, considered for numerical simulations are given below in detail.

$$ {\text{Aperture}}\;{\text{area}}\;{\text{of}}\;{\text{receiving}}\;{\text{photodetector}}\;({\text{A}}) = \frac{{\uppi{\text{D}}^{2} }}{4} $$
$$ {\text{Effective}}\;{\text{noise}}\;{\text{bandwidth}}\;(\Delta f) = R_{b} /2 $$
$$ {\text{Strength}}\;{\text{of}}\;{\text{turbulence}}\;({\text{C}}_{\text{n}}^{2} ) = 2.5 \times 10^{ - 15} {\text{m}}^{ - 2/3} \;{\text{and}}\;7.5 \times 10^{ - 15} {\text{m}}^{ - 2/3} $$
$$ {\text{Excess}}\;{\text{noise}}\;{\text{factor}}\;F_{A} = k_{A} G + \left( {1 - k_{A} } \right)\left( {2 - \frac{1}{G}} \right) . $$
Table 2 Values of parameters
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Sahoo, P.K., Prajapati, Y.K. & Tripathi, R. Performance Enhancement of Gaussian Minimum Shift Keying Using Optimum Phase Sampling Technique for Turbulent Free-Space Optical Communication. Wireless Pers Commun 118, 855–872 (2021). https://doi.org/10.1007/s11277-020-08047-x

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