J.F. Paris

University of Malaga, Málaga, Andalusia, Spain

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Publications (57)60.07 Total impact

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    ABSTRACT: In this paper, novel analytical closed-form expressions are derived for the probability density function of the sum of identically distributed correlated gamma-gamma random variables that models an optical atmospheric channel communication with receiver spatial diversity. The mathematical expressions here proposed provide a general procedure to obtain information about the scintillation effects induced by turbulence over a diversity reception scheme implementing equal-gain combining method. Both, validity and accuracy of the obtained statistical distribution are corroborated by comparing the analytical results to numerical results obtained by Monte-Carlo simulations. These simulations are particularized for constant, exponential and circular correlation models, corresponding to three different receivers spatial configurations. In addition, the extreme situations of no correlation and fully correlated received signals are also studied. The presented expressions lead to a simple and easy-to-compute analytical procedure of analyzing atmospheric optical communications systems with correlated spatial diversity.
    Optics Express 09/2014; 22(18). · 3.55 Impact Factor
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    ABSTRACT: We investigate the dynamic behavior of the stationary random process defined by a central complex Wishart (CW) matrix ${\bf{W}}(t)$ as it varies along a certain dimension $t$. We characterize the second-order joint cdf of the largest eigenvalue, and the second-order joint cdf of the smallest eigenvalue of this matrix. We show that both cdfs can be expressed in exact closed-form in terms of a finite number of well-known special functions in the context of communication theory. As a direct application, we investigate the dynamic behavior of the parallel channels associated with multiple-input multiple-output (MIMO) systems in the presence of Rayleigh fading. Studying the complex random matrix that defines the MIMO channel, we characterize the second-order joint cdf of the signal-to-noise ratio (SNR) for the best and worst channels. We use these results to study the rate of change of MIMO parallel channels, using different performance metrics. For a given value of the MIMO channel correlation coefficient, we observe how the SNR associated with the best parallel channel changes slower than the SNR of the worst channel. This different dynamic behavior is much more appreciable when the number of transmit ($N_T$) and receive ($N_R$) antennas is similar. However, as $N_T$ is increased while keeping $N_R$ fixed, we see how the best and worst channels tend to have a similar rate of change.
    06/2014;
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    ABSTRACT: Some typing errors detected in Garrido-Balsells et al. [Opt.Lett.38, 3984 (2013)] are here corrected.
    Optics Letters 02/2014; 39(3):653. · 3.39 Impact Factor
  • M.C. Clemente, J.F. Paris
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    ABSTRACT: New analytical closed-form expressions are derived for the probability density function and the cumulative distribution function of the squared Rician shadowed variates. In particular, the application of such results in the performance analysis of wireless communication systems is investigated.
    Electronics Letters 01/2014; 50(2):120-121. · 1.04 Impact Factor
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    ABSTRACT: We discuss the origin of the well-known integral form for the Gaussian $Q$-function. Although this form is originally attributed to Craig in his 1991 paper, it actually was inferred in previous communications theory references in the literature by Weinstein, and explicitly stated by Pawula, Rice and Roberts. Specifically, this form can be seen as a particular case of the general $F$-function, that is related to the distribution of the phase angle between two vectors perturbed by Gaussian noise. We show that the $F$-function includes as particular cases the one- and two-dimensional Gaussian $Q$-functions, and is connected with a class of confluent hypergeometric functions through the multivariate $Phi_{1}^{(n)}$ function. This connection generalizes the existing relation between the Gaussian $Q$-functions and this family of hypergeometric functions.
    IEEE Communications Letters 01/2014; 18(9):1495-1498. · 1.16 Impact Factor
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    ABSTRACT: Acoustic or ultrasonic transmission is the preferred alternative for underwater communications. Power is not an unlimited resource in the underwater environment. Moreover the underwater acoustic channel is subject to severe slow and fast fading. High transmission power is needed so that a fair BER is achieved. A power control policy is, therefore, of paramount importance. This communication explores the benefits of using power control in underwater communications, when gamma/Ricean channels are considered. Simulation results are presented that suggest which channels are more appropriate for the power control to be applied, and estimate the amount of expected power saving.
    Wireless Personal Communications 04/2013; 69(4). · 0.43 Impact Factor
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    ABSTRACT: This paper presents a new connection between the generalized Marcum-Q function and the confluent hypergeometric function of two variables, phi3. This result is then applied to the closed-form characterization of the bivariate Nakagami-m distribution and of the distribution of the minimum eigenvalue of correlated non-central Wishart matrices, both important in communication theory. New expressions for the corresponding cumulative distributions are obtained and a number of communication-theoretic problems involving them are pointed out.
    IEEE Transactions on Information Theory 03/2013; 60(2). · 2.62 Impact Factor
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    ABSTRACT: In this letter, we derive a closed-form expression for the two-dimensional joint Gaussian Q-function in terms of a class of hypergeometric functions. Particularly, we show that the 2-D Gaussian Q-function can be expressed in terms of the bivariate confluent hypergeometric function Φ1, which is well studied in classical books of integrals, special functions and Laplace transforms. As a direct application, we derive a new closed-form expression for the level crossing rate (LCR) and the average fade duration (AFD) of sampled lognormal processes with arbitrary correlation profile.
    IEEE Communications Letters 01/2013; 17(8):1493-1496. · 1.16 Impact Factor
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    ABSTRACT: Exact closed-form analytical expressions are derived for the average bit error probability of multibranch switched diversity systems over independent and identically Nakagami-m distributed fading channels. Practical schemes that use noncoherent or differentially coherent symbol detection are considered. The general bit error probability expression derived in this paper includes as particular cases the following signaling formats: orthogonal binary signaling, correlated binary signaling, differential phase-shift keying, and differential quadrature phase-shift keying. Finally, we apply our analytical results to study the impact of the switching threshold selection on the system performance. Copyright © 2011 John Wiley & Sons, Ltd.
    International Journal of Communication Systems 01/2013; 26(1):127-137. · 1.11 Impact Factor
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    ABSTRACT: In multiple-input multiple-output (MIMO) systems the communication channel can be split into s-parallel single-input single-output eigenchannels. The channel gains associated with these eigenchannels depend on the magnitude of the eigenvalues of the complex random matrix that characterizes the MIMO channel. We present a general framework for the characterization of the dynamics of MIMO channels. In addition, we provide new analytical results for the distribution of the largest eigenvalue of two correlated Wishart matrices, which enable a direct evaluation of different system performance metrics such as the probability of two consecutive outages separated by a given time window, the level crossing rate and the average fade duration.
    Information Theory Workshop (ITW), 2013 IEEE; 01/2013
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    ABSTRACT: An analysis of the characteristic function of Gaussian quadratic forms is presented in [1] to study the performance of multichannel communication systems. This technical report reviews this analysis, obtaining alternative expressions to original ones in compact matrix format.
    12/2012;
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    ABSTRACT: In this paper, we derive exact closed-form expressions for the bivariate Nakagami-$m$ cumulative distribution function (CDF) with positive integer fading severity index $m$ in terms of a class of hypergeometric functions. Particularly, we show that the bivariate Nakagami-$m$ CDF can be expressed as a finite sum of elementary functions and bivariate confluent hypergeometric $\Phi_3$ functions. Direct applications which arise from the proposed closed-form expression are the outage probability (OP) analysis of a dual-branch selection combiner in correlated Nakagami-$m$ fading, or the calculation of the level crossing rate (LCR) and average fade duration (AFD) of a sampled Nakagami-$m$ fading envelope.
    IEEE Transactions on Communications 06/2012; · 1.75 Impact Factor
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    ABSTRACT: Recently, a new and generalized statistical model, called M or Málaga distribution, was proposed to model the irradiance fluctuations of an unbounded optical wavefront (plane and spherical waves) propagating through a turbulent medium under all irradiance fluctuation conditions in homogeneous, isotropic turbulence. Málaga distribution was demonstrated to have the advantage of unifying most of the proposed statistical models derived until now in the bibliography in a closed-form expression providing, in addition, an excellent agreement with published plane wave and spherical wave simulation data over a wide range of turbulence conditions (weak to strong). Now, such a model is completed by including the adverse effect of pointing error losses due to misalignment. In this respect, the well-known effects of aperture size, beam width and jitter variance are taken into account. Accordingly, after presenting the analytical expressions for the combined distribution of scintillation and pointing errors, we derive its centered moments of the overall probability distribution. Finally, we obtain the analytical expressions for the average bit error rate performance for the M distribution affected by pointing errors. Numerical results show the impact of misalignment on link performance.
    Optics Express 05/2012; 20(11):12550-62. · 3.55 Impact Factor
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    ABSTRACT: In this paper, the performance of the variable weight multiple pulse-position modulation (MPPM) coding technique in an atmospheric optical communication environment under gamma-gamma optical scintillation is analyzed, proposing a closed-form expression for the average bit error rate (BER). This study is based on a hyperexponential fitting of the conditional BER in absence of turbulence fluctuations, leading to closed-form expressions that characterize the behavior of this nonlinear coding scheme. Finally, conditional and average BER expressions proposed here are corroborated with Monte Carlo simulations results.
    Optics Letters 02/2012; 37(4):719-21. · 3.39 Impact Factor
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    ABSTRACT: In this paper, we present a novel analytical framework for the calculation of the level crossing rate (LCR) and the average fade duration (AFD) of fading channels sampled at a certain sampling period TS. These expressions are valid for arbitrary fading distributions with arbitrary correlation and can be easily computed in terms of the cumulative distribution function (cdf) of the fading envelope and its bivariate cdf. This approach yields interesting insights into the effect of finite sampling in the higher order statistics of fading processes. We also demonstrate that the proposed expressions for sampled fading process converge with the existing expressions for continuous fading processes as the sampling period tends to zero. As a direct application, exact closed-form expressions are given for the LCR and AFD of sampled Rayleigh fading processes, which are suitable to characterize the higher order statistics of the equivalent frequency-domain fading process in multipath Rayleigh fading.
    IEEE Transactions on Vehicular Technology 01/2012; 61(7):3342-3346. · 2.06 Impact Factor
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    ABSTRACT: Exact closed-form expressions are obtained for the outage probability of maximal ratio combining in η-μ fading channels with antenna correlation and co-channel interference. The scenario considered in this work assumes the joint presence of background white Gaussian noise and independent Rayleigh-faded interferers with arbitrary powers. Outage probability results are obtained through an appropriate generalization of the moment-generating function of the η-μ fading distribution, for which new closed-form expressions are provided.
    IEEE Communications Letters 01/2012; 16(5):674-677. · 1.16 Impact Factor
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    ABSTRACT: Recently, a new and generalized statistical model, called M or Málaga distribution, has been proposed to model the irradiance fluctuations of an unbounded optical wavefront (plane and spherical waves) propagating through a turbulent medium under all irradiance fluctuation conditions in homogeneous, isotropic turbulence. The major advantage of the model is that leads to closed-form and mathematically-tractable expressions for the fundamental channel statistics of an unbounded optical wavefront under all turbulent regimes. Furthermore, it unifies most of the proposed statistical models for the irradiance fluctuations derived in the bibliography providing, in addition, an excellent agreement with published plane wave and spherical wave simulation data over a wide range of turbulence conditions (weak to strong).
    Optical Wireless Communications (IWOW), 2012 International Workshop on; 01/2012
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    ABSTRACT: In this letter, the statistical behaviour of the shallow water acoustic channel for wireless communications is shown to be well characterized by the Ricean shadowed distribution, which has never been proposed for communication purposes on this type of channel. This characterization is clearly motivated from statistical and physical perspectives and has both theoretical and practical advantages compared to previously proposed models.
    12/2011;
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    ABSTRACT: General analytical expressions are derived for the average bit error rate of an intensity modulation and direct detection link using unbounded optical wavefront with on-off keying signalling technique propagating under all possible irradiance fluctuation conditions. These expressions include in a single equation the link performance of most of the proposed statistical models derived until now.
    Optics Letters 10/2011; 36(20):4095-7. · 3.39 Impact Factor
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    Numerical Simulations of Physical and Engineering Processes, 09/2011; , ISBN: 978-953-307-620-1