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Journal ArticleDOI

Analysis of MRC With $\eta -\mu$ Co-Channel Interference

TL;DR: Approximate outage probability and rate expressions are derived for systems employing maximum ratio combining, when both the desired signal and the interfering signals are subjected to fading, with the interferers having unequal power.
Abstract: Approximate outage probability and rate expressions are derived for systems employing maximum ratio combining, when both the desired signal and the interfering signals are subjected to $\eta -\mu$ fading, with the interferers having unequal power. The approximations are in terms of the Gauss hypergeometric function. A close match is observed between the results obtained through the derived analytical expression and the one obtained through Monte-Carlo simulations. Also, the utility of the applications is established in a vehicular application.
Citations
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Journal ArticleDOI
TL;DR: A quantitative analysis of capacity per unit bandwidth (spectrum efficiency) for various diversity schemes, when subjected to co-channel interference (CCI), is made for different adaptation policies in this research work.
Abstract: A quantitative analysis of capacity per unit bandwidth (spectrum efficiency) for various diversity schemes, when subjected to co-channel interference (CCI), is made for different adaptation policies in this research work. It is observed that among the four adaptation policies incorporated, optimal power and rate adaptation policy provides the highest spectrum efficiency, and channel inversion with policy provides the highest spectrum efficiency penalty over other adaptation policies for the diversity schemes discussed. Exact numerical improvement in spectrum efficiency and deterioration in spectrum efficiency for specific adaptation policies is clearly mentioned and discussed in detail. The improvement in the value of diversity gain is also clearly elucidated. Maximal ratio combining scheme with optimal power and rate adaptation policy yields the highest spectrum efficiency as compared to other two diversity schemes when subjected to CCI.
References
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Journal ArticleDOI
TL;DR: The handbook of mathematical functions with formulas graphs and mathematical tables national bureau of standards applied mathematics series 55 that the authors provide for you will be ultimate to give preference.
Abstract: The handbook of mathematical functions with formulas graphs and mathematical tables national bureau of standards applied mathematics series 55 that we provide for you will be ultimate to give preference. This reading book is your chosen book to accompany you when in your free time, in your lonely. This kind of book can help you to heal the lonely and get or add the inspirations to be more inoperative. Yeah, book as the widow of the world can be very inspiring manners. As here, this book is also created by an inspiring author that can make influences of you to do more.

2,425 citations

Journal ArticleDOI
TL;DR: In this article, the authors defined the hypergeometric functions $_pF_q$ of matrix argument which occur in the multivariate distributions are defined by their expansions in zonal polynomials as defined in Section 5.
Abstract: The paper is largely expository, but some new results are included to round out the paper and bring it up to date. The following distributions are quoted in Section 7. 1. Type $_0F_0$, exponential: (i) $\chi^2$, (ii) Wishart, (iii) latent roots of the covariance matrix. 2. Type $_1F_0$, binomial series: (i) variance ratio, $F$, (ii) latent roots with unequal population covariance matrices. 3. Type $_0F_1$, Bessel: (i) noncentral $\chi^2$, (ii) noncentral Wishart, (iii) noncentral means with known covariance. 4. Type $_1F_1$, confluent hypergeometric: (i) noncentral $F$, (ii) noncentral multivariate $F$, (iii) noncentral latent roots. 5. Type $_2F_1$, Gaussian hypergeometric: (i) multiple correlation coefficient, (ii) canonical correlation coefficients. The modifications required for the corresponding distributions derived from the complex normal distribution are outlined in Section 8, and the distributions are listed. The hypergeometric functions $_pF_q$ of matrix argument which occur in the multivariate distributions are defined in Section 4 by their expansions in zonal polynomials as defined in Section 5. Important properties of zonal polynomials and hypergeometric functions are quoted in Section 6. Formulae and methods for the calculation of zonal polynomials are given in Section 9 and the zonal polynomials up to degree 6 are given in the appendix. The distribution of quadratic forms is discussed in Section 10, orthogonal expansions of $_0F_0$ and $_1F_1$ in Laguerre polynomials in Section 11 and the asymptotic expansion of $_0F_0$ in Section 12. Section 13 has some formulae for moments.

1,432 citations


"Analysis of MRC With $\eta -\mu$ Co..." refers methods in this paper

  • ...If the interferers were Rayleigh faded, then HH is given by a Wishart distributed matrix [19]....

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Journal ArticleDOI
TL;DR: In this paper, the authors proposed two general fading distributions, the kappa-mu distribution and the eta-mu distributions, for line-of-sight applications, for which fading models are proposed.
Abstract: This paper presents two general fading distributions, the kappa-mu distribution and the eta-mu distribution, for which fading models are proposed. These distributions are fully characterized in terms of measurable physical parameters. The kappa-mu distribution includes the Rice (Nakagami-n), the Nakagami-m, the Rayleigh, and the one-sided Gaussian distributions as special cases. The eta-mu distribution includes the Hoyt (Nakagami-q), the Nakagami-m, the Rayleigh, and the one-sided Gaussian distributions as special cases. Field measurement campaigns were used to validate these distributions. It was observed that their fit to experimental data outperformed that provided by the widely known fading distributions, such as the Rayleigh, Rice, and Nakagami-m. In particular, the kappa-mu distribution is better suited for line-of-sight applications, whereas the eta-mu distribution gives better results for non-line-of-sight applications.

728 citations

Journal ArticleDOI
TL;DR: This paper proposes to analyze downlink performance in a fixed-size cell, which is inscribed within a weighted Voronoi cell in a Poisson field of interferers, using recent applications of stochastic geometry to analyze cellular systems.
Abstract: Cellular systems are becoming more heterogeneous with the introduction of low power nodes including femtocells, relays, and distributed antennas. Unfortunately, the resulting interference environment is also becoming more complicated, making evaluation of different communication strategies challenging in both analysis and simulation. Leveraging recent applications of stochastic geometry to analyze cellular systems, this paper proposes to analyze downlink performance in a fixed-size cell, which is inscribed within a weighted Voronoi cell in a Poisson field of interferers. A nearest out-of-cell interferer, out-of-cell interferers outside a guard region, and cross-tier interferers are included in the interference calculations. Bounding the interference power as a function of distance from the cell center, the total interference is characterized through its Laplace transform. An equivalent marked process is proposed for the out-of-cell interference under additional assumptions. To facilitate simplified calculations, the interference distribution is approximated using the Gamma distribution with second order moment matching. The Gamma approximation simplifies calculation of the success probability and average rate, incorporates small-scale and large-scale fading, and works with co-tier and cross-tier interference. Simulations show that the proposed model provides a flexible way to characterize outage probability and rate as a function of the distance to the cell edge.

451 citations


"Analysis of MRC With $\eta -\mu$ Co..." refers background in this paper

  • ...Also, from [23], it is again known that a sum of gamma variables can be well approximated by a single gamma random variable by matching the first two moments Hence approximately, ∑NI i=1 zi ∼ G(a, b), where...

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Journal ArticleDOI
TL;DR: This paper attempts to maximize the ergodic capacity of the V2I connections while ensuring reliability guarantee for each V2V link, and proposes novel algorithms that yield optimal resource allocation and are robust to channel variations.
Abstract: The widely deployed cellular network, assisted with device-to-device (D2D) communications, can provide a promising solution to support efficient and reliable vehicular communications. Fast channel variations caused by high mobility in a vehicular environment need to be properly accounted for when designing resource allocation schemes for the D2D-enabled vehicular networks. In this paper, we perform spectrum sharing and power allocation based only on slowly varying large-scale fading information of wireless channels. Pursuant to differing requirements for different types of links, i.e., high capacity for vehicle-to-infrastructure (V2I) links and ultrareliability for vehicle-to-vehicle (V2V) links, we attempt to maximize the ergodic capacity of the V2I connections while ensuring reliability guarantee for each V2V link. Sum ergodic capacity of all V2I links is first taken as the optimization objective to maximize the overall V2I link throughput. Minimum ergodic capacity maximization is then considered to provide a more uniform capacity performance across all V2I links. Novel algorithms that yield optimal resource allocation and are robust to channel variations are proposed. Their desirable performance is confirmed by computer simulation.

302 citations


"Analysis of MRC With $\eta -\mu$ Co..." refers background or methods in this paper

  • ...While this spectrum allocation problem has been discussed for a BS with single antenna and Rayleigh faded fast fading channel coefficients in [14], [16], [17], we, for the first time, demonstrate a sub-optimal solution for the spectrum allocation problem for a BS with multiple antennas where MRC is applied and the coefficients undergo η − μ fading....

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  • ...This is a maximum weight bipartite matching problem and can be solved by the Hungarian method as in [14]–[16]....

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  • ...To mitigate the interference, many resource allocation schemes have been proposed in [14]–[16]....

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  • ...We now use the same simulation parameters as in [16], [17]....

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