Explicit communication channels in the feedback loop introduce new key elements such as channel input power, channel variable gain, channel bandwidth, additive channel noise, transmission rate, quantization, packet losses, etc. In this article, we propose a stationary signal-to-noise ratio (SNR) analysis for the fading channel model. The channel SNR can be connected with most communication issues such as channel input power, additive channel noise, and quantization noise. Recently, a power analysis has also been used to characterize for every instant the effect of packet losses and channel fading. Here, we propose an equivalent average channel model that preserves the first and second moments of a fading channel output in steady state. The proposed equivalency is stated initially in an open loop, and then, with the assumption of a plant model with a relative degree greater or equal to one, extended to the closed-loop feedback allowing a stationary SNR analysis. As a result, we can compute the fading channel SNR for closed-loop stabilizability limitation, and then consider the presence of disturbance and setpoint signals.

中文翻译：

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闭环稳定性的衰落信道信噪比限制


反馈环路中的显式通信信道引入了新的关键要素，例如信道输入功率、信道可变增益、信道带宽、附加信道噪声、传输速率、量化、数据包丢失等。在本文中，我们提出了一种固定信号到衰落信道模型的噪声比（SNR）分析。信道信噪比可以与大多数通信问题相关，例如信道输入功率、附加信道噪声和量化噪声。最近，功率分析也被用来描述每个瞬间数据包丢失和信道衰落的影响。在这里，我们提出了一个等效的平均信道模型，该模型保留稳态下衰落信道输出的一阶矩和二阶矩。所提出的等价性最初在开环中陈述，然后，假设相对度数大于或等于 1 的对象模型，扩展到闭环反馈，从而允许进行静态 SNR 分析。因此，我们可以计算闭环稳定性限制的衰落信道 SNR，然后考虑干扰和设定点信号的存在。