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    On the Performance Analysis of Digital Communication Systems Perturbed by Non-Gaussian Noise and Interference

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    Dissertation Hamza Soury.pdf
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    Type
    Dissertation
    Authors
    Soury, Hamza cc
    Advisors
    Alouini, Mohamed-Slim cc
    Committee members
    Al-Naffouri, Tareq Y. cc
    Laleg-Kirati, Taous-Meriem cc
    Zoubir, Abdelhak
    Program
    Electrical and Computer Engineering
    KAUST Department
    Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division
    Date
    2016-06-29
    Permanent link to this record
    http://hdl.handle.net/10754/615137
    
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    Abstract
    The Gaussian distribution is typically used to model the additive noise affecting communication systems. However, in many cases the noise cannot be modeled by a Gaussian distribution. In this thesis, we investigate the performance of different communication systems perturbed by non-Gaussian noise. Three families of noise are considered in this work, namely the generalized Gaussian noise, the Laplace noise/interference, and the impulsive noise that is modeled by an α-stable distribution. More specifically, in the first part of this thesis, the impact of an additive generalized Gaussian noise is studied by computing the average symbol error rate (SER) of one dimensional and two dimensional constellations in fading environment. We begin by the simple case of two symbols, i.e. binary phase shift keying (BPSK) constellation. From the results of this constellation, we extended the work to the average SER of an M pulse amplitude modulation (PAM). The first 2 − D constellation is the M quadrature amplitude modulation (QAM) (studied for two geometric shapes, namely square and rectangular), which is the combination of two orthogonal PAM signals (in-phase and quadrature phase PAM). In the second part, the system performance of a circular constellation, namely M phase shift keying (MPSK) is studied in conjunction with a Laplace noise with independent noise components. A closed form and an asymptotic expansion of the SER are derived for two detectors, maximum likelihood and minimum distance detectors. Next, we look at the intra cell interference of a full duplex cellular network which is shown to follow a Laplacian distribution with dependent, but uncorrelated, complex components. The densities of that interference are expressed in a closed form in order to obtain the SER of several communication systems (BPSK, PAM, QAM, and MPSK). Finally, we study the statistics of the α-stable distribution. Those statistics are expressed in closed form in terms of the Fox H function and used to get the SER of BPSK, PAM, and QAM constellations. An approximation and an asymptotic expansion for high signal to noise ratio are presented also and their efficiency is proved using Monte Carlo simulations. It is worth mentioning that all the error rates presented in this work are averaged over a generalized flat fading, namely the extended generalized K, which has the ability to capture most of the known fading distribution. Many special cases are treated and simpler closed form expressions of the probability of error are derived and compared to some previous reported results.
    Citation
    Soury, H. (2016). On the Performance Analysis of Digital Communication Systems Perturbed by Non-Gaussian Noise and Interference. KAUST Research Repository. https://doi.org/10.25781/KAUST-5R6I3
    DOI
    10.25781/KAUST-5R6I3
    ae974a485f413a2113503eed53cd6c53
    10.25781/KAUST-5R6I3
    Scopus Count
    Collections
    PhD Dissertations; Electrical and Computer Engineering Program; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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