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arXiv 0805.4583cs.ITmath.IT
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渠道热起来

Channels that Heat Up

Tobias Koch, Amos Lapidoth, Paul P. Sotiriadis

摘要:

这项工作考虑了一个加性噪声信道,其中时间k噪声方差是时间k之前的信道输入功率的加权和。该通道由嵌入在同一芯片中的两个终端之间的点对点通信驱动。传输使整个芯片升温,从而增加了接收器处的热噪声。在低发射功率和高发射功率下研究了该信道的容量(有反馈和无反馈)。在低发射功率下,计算了电容-功率曲线在零点处的斜率,结果表明加热效应是有益的。在高发射功率下,确定限制容量的条件,即,在该条件下,当允许的平均功率趋于无穷大时,容量不会增长到无穷大。

英文摘要:

This work considers an additive noise channel where the time-k noise variance is a weighted sum of the channel input powers prior to time k. This channel is motivated by point-to-point communication between two terminals that are embedded in the same chip. Transmission heats up the entire chip and hence increases the thermal noise at the receiver. The capacity of this channel (both with and without feedback) is studied at low transmit powers and at high transmit powers. At low transmit powers, the slope of the capacity-vs-power curve at zero is computed and it is shown that the heating-up effect is beneficial. At high transmit powers, conditions are determined under which the capacity is bounded, i.e., under which the capacity does not grow to infinity as the allowed average power tends to infinity.

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