Exact First-, Second-, and Third-Order Photocounting Cumulants for Lognormally Modulated Mixtures of Coherent and Chaotic Radiation

Abstract

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Photocounting Array Receivers for Optical Communication Through the Lognormal Atmospheric Channel 1: Optimum and Suboptimum Receiver Structures

“…28 Furthermore, we need not consider the cross-mixing of signal and noise components, since for direct detection in a shot-noise limited regime, these terms are negligible. 2 8, 2 9 Based on the previous sections, we formulate the channel model as follows. A temporally modulated linearly polarized wave with complex envelope given by X(t,r) = S(t)e(t,r) is transmitted.…”

“…2 5 In Part 3, we consider M-ary equal-energy equiprobable orthogonal signaling with 'flat independent fading. 2 5 We now turn to some suboptimum receiver structures that are often considerably easier to implement.…”

“…Exact expressions for the first-, second-, and third-order photocounting cumulants for lognormally modulated mixtures of coherent and chaotic radiation were also calculated. 2 In this paper, these results are used to examine the problem of optimum detection. Only clear-air turbulence 3 ' 4 is considered; atmospheric scattering and absorption are taken into account only insofar as they may uniformly reduce the irradiance at the receiver.…”

“…These authors do not include background radiation and dark current, however. Solimeno et al 2 ' presented binary error probabilities for direct detection in the presence of lognormal fading at a single detector. The case they consider, however, is one in which the fluctuations of the background radiation are discernible.…”