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The effect of asynchronism on the total capacity of Gaussian multiple-access channels

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2 Author(s)
R. S. Cheng ; Dept. of Electr. Eng., Princeton Univ., NJ, USA ; S. Verdu

The degradation due to complete asynchronism (at the codeword and symbol levels) in the total capacity, maximum rate-sum, of white Gaussian multiple-access channels is investigated. It is shown that asynchronism reduces the total capacity of a K-user channel by at most a factor of K. Moreover, this bound is achieved, in asymptotically high signal-to-noise ratios, by the TDMA signaling strategy. When the signaling strategies are optimally designed to maximize the asynchronous total capacity under bandwidth constraints, the authors find that in a two-user channel: (1) for a certain set of signal-to-noise ratios there is no degradation due to asynchronism, (2) for any bandwidth and signal-to-noise ratios the asynchronous total capacity is at least 88% of the synchronous total capacity, and (3) asynchronism has a vanishing small effect on total capacity for both low and high signal-to-noise ratios

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IEEE Transactions on Information Theory  (Volume:38 ,  Issue: 1 )