Complex random matrices and Rician channel capacity
نویسندگان
چکیده
منابع مشابه
Complex random matrices and Rician channel capacity
The eigenvalue densities of complex noncentral Wishart matrices are investigated to study an open problem in information theory. Specifically, the largest, smallest and joint eigenvalue densities of complex noncentral Wishart matrices are derived. These densities are expressed in terms of complex zonal polynomials and invariant polynomials. The connection between the complex Wishart matrix theo...
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The eigenvalue densities of complex central Wishart matrices are investigated with the objective of studying an open problem in channel capacity. These densities are represented by complex hypergeometric functions of matrix arguments, which can be expressed in terms of complex zonal polynomials. The connection between the complex Wishart matrix theory and information theory is given. This facil...
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Quadratic forms on complex random matrices and their joint eigenvalue densities are derived for applications in information theory. These densities are represented by complex hypergeometric functions of matrix arguments, which can be expressed in terms of complex zonal polynomials. The derived densities are used to evaluate the most important information-theoretic measures, the so-called ergodi...
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The ergodic capacity of various fading channels such as Rayleigh and Rician fading channels has been studied for a long time [1], [2]. Some closed-form expressions of the fading channel capacity have been obtained in terms of a higher transcend function of Meijer’s G function [3] or triple summations of the Poisson distribution [2]. Unfortunately, those representations are somewhat complex and ...
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Transmission of information over a discrete-time memoryless Rician fading channel is considered where neither the receiver nor the transmitter knows the fading coefficients. First the structure of the capacity-achieving input signals is investigated when the input is constrained to have limited peakedness. It is shown that uniform phase is optimal if there is a line of sight component and the c...
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ژورنال
عنوان ژورنال: Problems of Information Transmission
سال: 2005
ISSN: 0032-9460,1608-3253
DOI: 10.1007/s11122-005-0006-6