1,016 research outputs found
An efficient approximation to the correlated Nakagami-m sums and its application in equal gain diversity receivers
There are several cases in wireless communications theory where the
statistics of the sum of independent or correlated Nakagami-m random variables
(RVs) is necessary to be known. However, a closed-form solution to the
distribution of this sum does not exist when the number of constituent RVs
exceeds two, even for the special case of Rayleigh fading. In this paper, we
present an efficient closed-form approximation for the distribution of the sum
of arbitrary correlated Nakagami-m envelopes with identical and integer fading
parameters. The distribution becomes exact for maximal correlation, while the
tightness of the proposed approximation is validated statistically by using the
Chi-square and the Kolmogorov-Smirnov goodness-of-fit tests. As an application,
the approximation is used to study the performance of equal-gain combining
(EGC) systems operating over arbitrary correlated Nakagami-m fading channels,
by utilizing the available analytical results for the error-rate performance of
an equivalent maximal-ratio combining (MRC) system
The Distribution of Minimum of Ratios of Two Random Variables and Its Application in Analysis of Multi-hop Systems
The distributions of random variables are of interest in many areas of science. In this paper, ascertaining on the importance of multi-hop transmission in contemporary wireless communications systems operating over fading channels in the presence of cochannel interference, the probability density functions (PDFs) of minimum of arbitrary number of ratios of Rayleigh, Rician, Nakagami-m, Weibull and α-µ random variables are derived. These expressions can be used to study the outage probability as an important multi-hop system performance measure. Various numerical results complement the proposed mathematical analysis
On the Computation of the Higher Order Statistics of the Channel Capacity over Generalized Fading Channels
The higher-order statistics (HOS) of the channel capacity
, where denotes the
order of the statistics, has received relatively little attention in the
literature, due in part to the intractability of its analysis. In this letter,
we propose a novel and unified analysis, which is based on the moment
generating function (MGF) technique, to exactly compute the HOS of the channel
capacity. More precisely, our mathematical formalism can be readily applied to
maximal-ratio-combining (MRC) receivers operating in generalized fading
environments (i.e., the sum of the correlated noncentral chi-squared
distributions / the correlated generalized Rician distributions). The
mathematical formalism is illustrated by some numerical examples focussing on
the correlated generalized fading environments.Comment: Submitted to IEEE Wireless Communications Letter, February 18, 201
Performance Analysis of Selection Combining Over Correlated Nakagami-m Fading Channels with Constant Correlation Model for Desired Signal and Cochannel Interference
A very efficient technique that reduces fading and channel interference influence is selection diversity based on the signal to interference ratio (SIR). In this pa¬per, system performances of selection combiner (SC) over correlated Nakagami-m channels with constant correlation model are analyzed. Closed-form expressions are obtained for the output SIR probability density function (PDF) and cumulative distribution function (CDF) which is main contribution of this paper. Outage probability and the average error probability for coherent, noncoherent modulation are derived. Numerical results presented in this paper point out the effects of fading severity and cor¬relation on the system performances. The main contribu¬tion of this analysis for multibranch signal combiner is that it has been done for general case of correlated co-channel interference (CCI)
On the Multivariate Gamma-Gamma () Distribution with Arbitrary Correlation and Applications in Wireless Communications
The statistical properties of the multivariate Gamma-Gamma ()
distribution with arbitrary correlation have remained unknown. In this paper,
we provide analytical expressions for the joint probability density function
(PDF), cumulative distribution function (CDF) and moment generation function of
the multivariate distribution with arbitrary correlation.
Furthermore, we present novel approximating expressions for the PDF and CDF of
the sum of random variables with arbitrary correlation. Based
on this statistical analysis, we investigate the performance of radio frequency
and optical wireless communication systems. It is noteworthy that the presented
expressions include several previous results in the literature as special
cases.Comment: 7 pages, 6 figures, accepted by IEEE Transactions on Vehicular
Technolog
Dual-Branch MRC Receivers under Spatial Interference Correlation and Nakagami Fading
Despite being ubiquitous in practice, the performance of maximal-ratio
combining (MRC) in the presence of interference is not well understood. Because
the interference received at each antenna originates from the same set of
interferers, but partially de-correlates over the fading channel, it possesses
a complex correlation structure. This work develops a realistic analytic model
that accurately accounts for the interference correlation using stochastic
geometry. Modeling interference by a Poisson shot noise process with
independent Nakagami fading, we derive the link success probability for
dual-branch interference-aware MRC. Using this result, we show that the common
assumption that all receive antennas experience equal interference power
underestimates the true performance, although this gap rapidly decays with
increasing the Nakagami parameter of the interfering links. In
contrast, ignoring interference correlation leads to a highly optimistic
performance estimate for MRC, especially for large . In the low
outage probability regime, our success probability expression can be
considerably simplified. Observations following from the analysis include: (i)
for small path loss exponents, MRC and minimum mean square error combining
exhibit similar performance, and (ii) the gains of MRC over selection combining
are smaller in the interference-limited case than in the well-studied
noise-limited case.Comment: to appear in IEEE Transactions on Communication
BER of MRC for M-QAM with imperfect channel estimation over correlated Nakagami-m fading
In this contribution, we provide an exact BER analysis for M-QAM transmission over arbitrarily correlated Nakagami-m fading channels with maximal-ratio combining (MRC) and imperfect channel estimation at the receiver. Assuming an arbitrary joint fading distribution and a generic pilot-based channel estimation method, we derive an exact BER expression that involves an expectation over (at most) 4 variables, irrespective of the number of receive antennas. The resulting BER expression includes well-known PDFs and the PDF of only the norm of the channel vector. In order to obtain the latter PDF for arbitrarily correlated Nakagami-m fading, several approaches from the literature are discussed. For identically distributed and arbitrarily correlated Nakagami-m channels with integer m, we present several BER performance results, which are obtained from numerical evaluation and confirmed by straightforward computer simulations. The numerical evaluation of the exact BER expression turns out to be much less time-consuming than the computer simulations
An Accurate Approximation to the Distribution of the Sum of Equally Correlated Nakagami-m Envelopes and its Application in Equal Gain Diversity Receivers
We present a novel and accurate approximation for the distribution of the sum
of equally correlated Nakagami-m variates. Ascertaining on this result we study
the performance of Equal Gain Combining (EGC) receivers, operating over equally
correlating fading channels. Numerical results and simulations show the
accuracy of the proposed approximation and the validity of the mathematical
analysis
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