A general formulation of linear feedback communication systems with solutions
A general formulation of linear feedback communication systems with solutions
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线性反馈通信系统的一般公式及解决方案
DOI：
10.1109/tit.1969.1054302
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发表时间：
1969
期刊：
影响因子：
--
通讯作者：
S. Butman
中科院分区：
文献类型：
--
作者：
S. Butman
加性噪声系统的反馈编码问题，其中的噪声可能是有色的，非平稳的，和信道之间的相关性，制定在发送和接收点的任意线性操作。这个相当一般的线性公式提供了一个统一的方法，用于导出新的结果，以及以前的结果下得到的更严格的假设，在一个简单的方式。因此，对于无噪声反馈但具有任意协方差的前向噪声，推导出了发射机平均功率约束的最佳线性反馈码的序列形式。结果明确表明，无噪反馈可以增加有色噪声信道的容量。噪声反馈问题被认为是性能的上限和下限。
The feedback coding problem for additive noise systems, in which the noise may be colored, nonstationary, and correlated between channels, is formulated in terms of arbitrary linear operations at the transmitting and receiving points. This rather general linear formulation provides a unified approach for deriving new results, as well as previous results obtained under more restrictive assumptions, in a straightforward manner. Thus the sequential form of the optimum linear feedback code with an average power constraint on the transmitter is derived for noiseless feedback but forward noise of arbitrary covariance. It is shown explicitly that noiseless feedback increases the capacity of a channel with colored noise. The noisy feedback problem is considered and upper and lower bounds on the performance presented.