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Bits Through Deterministic Relay Cascades With Half-Duplex Constraint

机译:具有半双工约束的确定性中继级联通过位

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摘要

Consider a relay cascade, i.e., a network where a source node, a sink node and a certain number of intermediate source/relay nodes are arranged on a line and where adjacent node pairs are connected by error-free $(q+1)$ -ary pipes. Suppose the source and a subset of the relays wish to communicate independent information to the sink under the condition that each relay in the cascade is half-duplex constrained. A coding scheme is developed which transfers information by an information-dependent allocation of the transmission and reception slots of the relays. The coding scheme requires synchronization on the symbol level through a shared clock. The coding strategy achieves capacity for a single source. Numerical values for the capacity of cascades of various lengths are provided, and the capacities are significantly higher than the rates which are achievable with a predetermined time-sharing approach. If the cascade includes a source and a certain number of relays with their own information, the strategy achieves the cut-set bound when the rates of the relay sources fall below certain thresholds. For cascades composed of an infinite number of half-duplex constrained relays and a single source, we derive an explicit capacity expression. Remarkably, the capacity in bits/use for $q=1$ is equal to the logarithm of the golden ratio, and the capacity for $q=2$ is 1 bit/use.
机译:考虑一个中继级联,即一个网络,其中源节点,宿节点和一定数量的中间源/中继节点排列在一条线上,并且相邻节点对之间通过无错$(q + 1)$连接-ary管。假设在级联中的每个中继都是半双工约束的情况下,源和中继的子集希望将独立的信息传达给接收器。开发了一种编码方案,该编码方案通过与继电器的发送和接收时隙有关的信息来分配信息。编码方案要求通过共享时钟在符号级别进行同步。编码策略可实现单个来源的容量。提供了各种长度的级联容量的数值,并且该容量明显高于预定分时方法所能达到的速率。如果级联包括一个源和具有其自身信息的一定数量的中继,则当中继源的速率降至某些阈值以下时,该策略将达到割线限制。对于由无限数量的半双工约束继电器和单个信号源组成的级联,我们导出了一个显式的容量表达式。值得注意的是,$ q = 1 $的位容量/使用量等于黄金比率的对数,而$ q = 2 $的容量为1位/使用量。

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