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The Anytime Reliability of the AWGN+erasure channel with Feedback

机译:带反馈的AWGN +擦除信道的随时可靠性

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We study the feedback anytime reliability of a discrete-time channel with additive white Gaussian noise where the channel output is also subject to iid erasure. The encoder has noiseless access to the past channel outputs, which includes perfect information regarding which transmissions were erased. There is an average power constraint on the channel input. We show that the anytime reliability is constant at all rates up to the Shannon capacity of the channel and that this constant is essentially the logarithm of the probability of erasure. In order to show achievability of this reliability, we give a construction involving a hybrid control system consisting of a FIFO queue where the server can adjust its service rate based on the number of bits awaiting transmission. The server takes the data bits and uses them to drive a scalar linear control system with continuous state where the dynamics can switch between fast and slow based on the service rate.
机译:我们研究具有加性高斯白噪声的离散时间通道在任何时间的可靠性反馈,其中通道输出也会受到iid擦除。编码器可以无干扰地访问过去的通道输出,其中包括有关删除哪些传输的完美信息。通道输入上存在平均功率约束。我们表明,在直到信道的香农容量的所有速率下,随时可靠性都是恒定的,并且该常数本质上是擦除概率的对数。为了显示这种可靠性的可实现性,我们给出了一种包含由FIFO队列组成的混合控制系统的结构,在该队列中,服务器可以根据等待传输的位数来调整其服务速率。服务器获取数据位,并使用它们来驱动具有连续状态的标量线性控制系统,在该状态下,动力学可以根据服务速率在快速和慢速之间进行切换。

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