2011
DOI: 10.1109/twc.2011.092011.102194
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Linear Multihop Amplify-and-Forward Relay Channels: Error Exponent and Optimal Number of Hops

Abstract: Abstract-We compute the random coding error exponent for linear multihop amplify-and-forward (AF) relay channels. Instead of considering only the achievable rate or the error probability as a performance measure separately, the error exponent results can give us insight into the fundamental tradeoff between the information rate and communication reliability in these channels. This measure enables us to determine what codeword length that is required to achieve a given level of communication reliability at a ra… Show more

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Cited by 23 publications
(11 citation statements)
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“…Note that,Ñ 0 denotes the minimal values among all N k including N 0 and N K , and N 0 is the number of users which is fixed in the optimizations. Similarly, if we use the lower-bound in (28),R can be expressed as…”
Section: A Problem Formulationmentioning
confidence: 99%
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“…Note that,Ñ 0 denotes the minimal values among all N k including N 0 and N K , and N 0 is the number of users which is fixed in the optimizations. Similarly, if we use the lower-bound in (28),R can be expressed as…”
Section: A Problem Formulationmentioning
confidence: 99%
“…7 shown later Sec. V. To further reduce the complexity, a further simplification is to let r 1 = R, which gives a suboptimal solution of (28) directly as…”
Section: B the Proposed Optimization Routinementioning
confidence: 99%
“…This is captured by the error exponent framework [17]. This framework has been applied earlier to RCs [18]- [23]. For instance, [18] studied the optimal number of hops in a separated amplify-forward (AF) half-duplex relay network from an error exponent point of view.…”
mentioning
confidence: 99%
“…This framework has been applied earlier to RCs [18]- [23]. For instance, [18] studied the optimal number of hops in a separated amplify-forward (AF) half-duplex relay network from an error exponent point of view. Separated here means that a physical channel exists only between neighboring nodes.…”
mentioning
confidence: 99%
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