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Limits on Transmission Rates over Channels Received from Middleton's Impulsive Noise Model

机译：对米德尔顿冲动噪声模型收到的频道的传输速率限制

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摘要

We investigate the influence of side information of the sender and the receiver on the performance of data transmission systems over Middleton's ("Class A") model for impulsive noise channels [1], [2]. The model is usually understood in such a way that the in-phase and the quadrature components of the transmitted signal pass through the Gaussian channel whose variance is a random variable. The particular value of the variance at each time instant is determined by some source of impulsive noise. The "hidden" side information is the note that the in-phase and the quadrature components of the transmitted signal at a fixed time instant meet the same transmission conditions. The "exposed" side information is received when the impulsive noise channel is tested before the transmission starts. We represent data transmission over a Middleton's impulsive noise channel as transmission over two parallel channels and show that if the coincidence of variances is taken into account, then the gain in the performance can be rather big, especially for small signal-to-noise ratios. Such a representation also assumes a possible generalization of data transmission scheme to the case when there are T parallel channels and the variance of the noise at each time instant is the same. This "side information" becomes more and more valuable when T increases. Another possibility that can be used to improve the performance of a communication scheme is inspection of the channel, which brings the knowledge about the actual variance of the noise at each time instant.
机译：我们调查的发送方的侧信息的影响，并超过米德尔顿的（“A类”）模型的数据传输系统的性能为冲击噪声频道[1]的接收器，[2]。通常以这样的方式理解该模型，即所发送的信号的同相和正交分量通过其差是随机变量的高斯信道。每次瞬间的方差的特定值由一些脉冲噪声来源决定。 “隐藏”侧面信息是注意，发送信号在固定时间即时的相位和正交分量满足相同的传输条件。当在传输开始之前测试脉冲噪声通道时，接收“暴露”侧信息。我们代表在米德尔顿的脉冲噪声信道作为传输在两个平行通道并显示，如果方差的巧合是考虑到，则在性能增益可以是相当大的，尤其是对小的信号 - 噪声比的数据传输。这种表示还假设在存在T并行信道时，数据传输方案的可能概括到壳体，并且每次时刻的噪声的方差是相同的。当T增加时，这种“侧面信息”变得越来越有价值。可以用于改善通信方案性能的另一种可能性是检查信道，这给了关于每次瞬间在噪声的实际方差的知识。

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