In this paper we present a novel analytical expression for the bit error rate under ON-OFF Keying (OOK) modulation for Free Space Optical Communication using α-μ distribution. We perform numerical comparison between the PDF, CDF and BER using α-μ and Gamma-Gamma distribution. The relative error between PDF and CDF of Gamma Gamma and α-μ demonstrates the viability of α-μ as a alternative to Gamma-Gamma distribution. © 2018 IEEE.

Rajeev Kumar Singh

Computer Science and Engineering

(SoE) School of Engineering

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Shiv Nadar University

Exact analytical BER expression in FSO using α-μ distribution proposed as an approximation of gamma-gamma PDF

2018 27th Wireless and Optical Communication Conference, WOCC 2018

<p>A new analytical approximate expression for K distribution is proposed by expanding it in terms of orthogonal associated Laguerre polynomial. The expansion is truncated after first three terms, which yields a fairly close approximation to K distribution. The advantage of the proposed approximation is that the analytical closed form expression for bit error rate can be easily derived. KL measure is used to show the accuracy of the proposed approximation. The proposed approximate probability density function and bit error rate work well within the desired range of the channel parameter α, which is 1 &lt; α &lt; 2 and corresponds to the scintillation index value ranging from 2 to 3. We have also demonstrated the utility of our approximation for other quality of service metric such as fade probability. © 2009-2012 IEEE.</p>

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Exact analytical BER expression in FSO using α-μ Distribution proposed as an approximation of gamma-gamma PDF