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arXiv 1605.04579cs.ITmath.IT
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带反馈的时延约束高斯MIMO信道上的单比特通信

Communicating One Bit over a Delay Constrained Gaussian MIMO Channel with Feedback

Bo Bernhardsson, Ather Gattami

摘要:

能量最优方案被发现用于在具有理想反馈信道的无记忆高斯信道上传输一个比特。假设在解码之前允许信道被使用最多N次。采用动态规划的方法推导出最优编解码策略。结果发现,反馈给出了一个显着的性能增益和最优策略是不连续的。它还表明,大部分的性能提高,甚至可以获得一个比特的反馈信道。最优方案与Kailath-Schalkwijk的策略进行了比较,并发现其有效性显着提高。对于测量噪声方差沿子信道相等的对角MIMO信道的情况下,我们还表明,该问题可以减少到以前的情况下,通过标量反馈信道发送一个比特。

英文摘要:

The energy-optimal scheme is found for communicating one bit over a memoryless Gaussian channel with an ideal feedback channel. It is assumed that the channel is allowed to be used at most N times before decoding. The optimal coding/decoding strategy is derived by dynamic programming. It is found that feedback gives a significant performance gain and that the optimal strategies are discontinuous. It is also shown that most of the performance increase can be obtained even with a one-bit feedback channel. The optimal scheme is compared with the strategy by Kailath-Schalkwijk and is found to be significantly more effective. For the case of a diagonal MIMO channel where measurement noise variances are equal along the sub channels we also show that the problem can be reduced to the previous case of transmitting one bit over a scalar feedback channel.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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