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New approximation for pdf of K- distribution: Analytical study of QoS parameters in free space optical communication
Published in Institution of Engineering and Technology
2018
Volume: 12
   
Issue: 14
Pages: 1703 - 1708
Abstract
A new approximate expression for the probability density function (pdf) of K-distribution is proposed. The approximate pdf is found to be in good agreement with the exact analytical closed-form expression over the desired range of scintillation index lying between 2 and 3. Employing the proposed pdf, the expression in respect of two of the QoS measures of fade probability and bit error rate (BER) valid under various modulation schemes is given. Using the generalised expression of BER, plots under ON-OFF keying and binary phase shift keying modulation schemes are shown. The resulting expressions provide a better understanding in contrast to the exact results obtained in terms of Meijer G functions. Numerical computations are carried out to demonstrate the efficacy of approximate results. © The Institution of Engineering and Technology 2018.
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Figures & Tables (14)
  • Figure-0
    Table 1 Comparison between exact pdf (f) and approximate pdf (g)
  • Figure-1
    Fig. 1 Comparison between the exact K-pdf ... Expand
  • Figure-2
    Table 2 Numerical values of KL divergence and MSD
  • Figure-3
    Fig. 3 KL divergence and MSD between the exact ... Expand
  • Figure-4
    Fig. 2 Exact K-pdf and the proposed approximation for α = 1.5
  • Figure-5
    Fig. 4 Comparison between the cdf obtained using the exact ... Expand
  • Figure-6
    Fig. 5 KS statistic for 1 < α < 3
  • Figure-7
    Fig. 6 Comparison between the FP obtained using the exact K-cdf ... Expand
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