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Journal ArticleDOI

Sum of gamma variates and performance of wireless communication systems over Nakagami-fading channels

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TLDR
A PDF-based approach for the performance analysis of maximal-ratio combining and postdetection equal-gain combining diversity techniques as well as cochannel interference of cellular mobile radio systems over Nakagami (1960)-fading channels with arbitrary parameters is provided.
Abstract
Capitalizing on the Moschopoulos (1985) single gamma series representation of the probability density function (PDF) of the sum of gamma variates, we provide a PDF-based approach for the performance analysis of maximal-ratio combining and postdetection equal-gain combining diversity techniques as well as cochannel interference of cellular mobile radio systems over Nakagami (1960)-fading channels with arbitrary parameters. Aside from putting under the same umbrella many of the past results obtained via characteristic function (CF) or moment generating function (MGF)-based approaches, the proposed approach also allows the derivation of additional performance measures, which are harder to analyze via CF or MGF-based approaches.

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Journal ArticleDOI

Modeling Heterogeneous Network Interference Using Poisson Point Processes

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.
Journal ArticleDOI

Multiuser MIMO in Distributed Antenna Systems With Out-of-Cell Interference

TL;DR: Several downlink multiuser multiple input multiple output (MIMO) DAS strategies are proposed and compared in terms of per-user throughput and area spectral efficiency and approximations of the ergodic rate are proposed to facilitate rapid simulation and design space exploration.
Journal ArticleDOI

Finite-SNR Diversity–Multiplexing Tradeoff for Correlated Rayleigh and Rician MIMO Channels

TL;DR: A nonasymptotic framework for the diversity-multiplexing tradeoff of a multiple-input-multiple-output (MIMO) wireless system at finite signal-to-noise ratios (SNRs) is presented, which is useful in MIMO system design for realistic SNRs and propagation environments.
Journal ArticleDOI

On multivariate Rayleigh and exponential distributions

TL;DR: Expressions for multivariate Rayleigh and exponential probability density functions (PDFs) generated from correlated Gaussian random variables can serve as a useful tool in the performance analysis of digital modulation over correlated Rayleigh-fading channels using diversity combining.
Journal ArticleDOI

Closed-form statistics for the sum of squared Nakagami-m variates and its applications

TL;DR: The proposed formulation significantly improves previously published results, which are either in the form of infinite sums or higher order derivatives of the fading parameter m, and can be applied to the performance analysis of diversity combining receivers operating over Nakagami-m fading channels.
References
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A table of integrals

TL;DR: Basic Forms x n dx = 1 n + 1 x n+1 (1) 1 x dx = ln |x| (2) udv = uv − vdu (3) 1 ax + bdx = 1 a ln|ax + b| (4) Integrals of Rational Functions
Journal ArticleDOI

Handbook of Mathematical Functions with Formulas

D. B. Owen
- 01 Feb 1965 - 
TL;DR: The Handbook of Mathematical Functions with Formulas (HOFF-formulas) as mentioned in this paper is the most widely used handbook for mathematical functions with formulas, which includes the following:
Book

Digital Communication over Fading Channels

TL;DR: The book gives many numerical illustrations expressed in large collections of system performance curves, allowing the researchers or system designers to perform trade-off studies of the average bit error rate and symbol error rate.
Book

Principles of mobile communication

TL;DR: The Principles of Mobile Communication, Third Edition stresses the "fundamentals" of physical-layer wireless and mobile communications engineering that are important for the design of "any" wireless system.
Book ChapterDOI

The m-Distribution—A General Formula of Intensity Distribution of Rapid Fading

TL;DR: In this article, the authors summarized the principal results of a series of statistical studies in the last seven years on the intensity distributions due to rapid fading, and presented an extremely simplified method for estimating the improvement available from various systems of diversity reception.