1989
DOI: 10.1109/18.45272
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Achievability proof of some multiuser channel coding theorems using backward decoding

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Cited by 56 publications
(59 citation statements)
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“…For sufficiently large, the expression is always increasing in and so is in (17). Following Definition 4 exactly, we conclude that multihop with is more bandwidth efficient for lower values of , with the single-hop scheme being the most bandwidth efficient.…”
Section: )mentioning
confidence: 75%
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“…For sufficiently large, the expression is always increasing in and so is in (17). Following Definition 4 exactly, we conclude that multihop with is more bandwidth efficient for lower values of , with the single-hop scheme being the most bandwidth efficient.…”
Section: )mentioning
confidence: 75%
“…Indeed, we have shown in [22] that, for a given rate , the number of nodes yielding the least required power can be approximately computed as (18) where denotes the positive integer closest to and is the principal branch of the Lambert function. The approximation (18) is obtained by replacing the discrete variable by the continuous variable in (17) and minimizing by setting the derivative to zero. This yields (19) which can be solved for , giving (20) The result (18) is obtained from (20) by using the approximation .…”
Section: )mentioning
confidence: 99%
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“…DERIVING THE RATE REGION From the above mentioned channel model, the upper bounds on the achievable rate region can be derived using the technique of forward and backward decoding [18][19][20] employed in [11,12]. This technique is the revised version of the one employed in [9].…”
Section: Related Workmentioning
confidence: 99%
“…Hence, clearly the effect of transmitter cooperation is higher than the receiver cooperation. Also, by appropriate selection of power values in (20), transmitter and/or receiver cooperation can be explored. Similarly to (20), the other rate constraints described in (2), (3), and (4) can also be derived.…”
Section: Related Workmentioning
confidence: 99%