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    Hadamard upper bound on optimum joint decoding capacity of Wyner Gaussian cellular MAC

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    Type
    Article
    Authors
    Shakir, Muhammad
    Durrani, Tariq S
    Alouini, Mohamed-Slim cc
    KAUST Department
    Communication Theory Lab
    Electrical Engineering Program
    Physical Science and Engineering (PSE) Division
    Date
    2011-09-25
    Online Publication Date
    2011-09-25
    Print Publication Date
    2011-12
    Permanent link to this record
    http://hdl.handle.net/10754/550186
    
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    Abstract
    This article presents an original analytical expression for an upper bound on the optimum joint decoding capacity of Wyner circular Gaussian cellular multiple access channel (C-GCMAC) for uniformly distributed mobile terminals (MTs). This upper bound is referred to as Hadamard upper bound (HUB) and is a novel application of the Hadamard inequality established by exploiting the Hadamard operation between the channel fading matrix G and the channel path gain matrix Ω. This article demonstrates that the actual capacity converges to the theoretical upper bound under the constraints like low signal-to-noise ratios and limiting channel path gain among the MTs and the respective base station of interest. In order to determine the usefulness of the HUB, the behavior of the theoretical upper bound is critically observed specially when the inter-cell and the intra-cell time sharing schemes are employed. In this context, we derive an analytical form of HUB by employing an approximation approach based on the estimation of probability density function of trace of Hadamard product of two matrices, i.e., G and Ω. A closed form of expression has been derived to capture the effect of the MT distribution on the optimum joint decoding capacity of C-GCMAC. This article demonstrates that the analytical HUB based on the proposed approximation approach converges to the theoretical upper bound results in the medium to high signal to noise ratio regime and shows a reasonably tighter bound on optimum joint decoding capacity of Wyner GCMAC.
    Citation
    Hadamard upper bound on optimum joint decoding capacity of Wyner Gaussian cellular MAC 2011, 2011 (1):110 EURASIP Journal on Wireless Communications and Networking
    Publisher
    Springer Nature
    Journal
    EURASIP Journal on Wireless Communications and Networking
    DOI
    10.1186/1687-1499-2011-110
    Additional Links
    http://jwcn.eurasipjournals.com/content/2011/1/110
    ae974a485f413a2113503eed53cd6c53
    10.1186/1687-1499-2011-110
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; Electrical and Computer Engineering Program; Communication Theory Lab

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