2012 IEEE International Symposium on Information Theory Proceedings 2012
DOI: 10.1109/isit.2012.6284012
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On the sum-capacity of Gaussian MAC with peak constraint

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Cited by 17 publications
(16 citation statements)
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“…For this scenario, we make the assumption that the optimal distributions of the two inputs are still in the form (11). This result has been demonstrated for real inputs [15], but not for complex inputs, as the case of interest here. For this reason, the computed IR is a lower bound to the actual channel capacity, whose expression is not known.…”
Section: B Analysis For Two Transmittersmentioning
confidence: 78%
“…For this scenario, we make the assumption that the optimal distributions of the two inputs are still in the form (11). This result has been demonstrated for real inputs [15], but not for complex inputs, as the case of interest here. For this reason, the computed IR is a lower bound to the actual channel capacity, whose expression is not known.…”
Section: B Analysis For Two Transmittersmentioning
confidence: 78%
“…a phase rotation, we do not add it to our model. with each of the two inputs satisfying constraints (12)- (15). In this scenario, we can express the joint IR I J = I(x 1 , x 2 ; y) as an extension of (18):…”
Section: B Analysis For Two Transmittersmentioning
confidence: 99%
“…In [10, Proposition 3], Verdú observed that if the output distributions p Y , p Y |X1 and p Y |X2 are all unimodal, which holds if amplitude constraints are sufficiently small, then the capacity region is the pentagon generated by independent equiprobable binary input distributions located at ±A 1 and ±A 2 . Recently, independent and concurrent work in [11] showed that the sum capacity of the Gaussian MAC is achieved by discrete distributions. Theorem 1 generalizes Smith's result for a single-user AWGN channel [5] to aa AWGN MAC, and the results in [10], [11] to the entire region.…”
Section: Gaussian Mac With Static Amplitude Constraintsmentioning
confidence: 99%
“…Recently, independent and concurrent work in [11] showed that the sum capacity of the Gaussian MAC is achieved by discrete distributions. Theorem 1 generalizes Smith's result for a single-user AWGN channel [5] to aa AWGN MAC, and the results in [10], [11] to the entire region.…”
Section: Gaussian Mac With Static Amplitude Constraintsmentioning
confidence: 99%
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