论文标题
修改后的联合绑定在符号误差概率上的衰落通道
A Modified Union Bound on Symbol Error Probability for Fading Channels
论文作者
论文摘要
在本文中，我们提出了一个关于最大可能性（ML）检测的误差概率性能的新上限。与传统使用的联合结合相比，提出的方法提供了更紧密的上限，尤其是当成对误差概率（PEP）较大时。实际上，提议的方法首先假设检测误差总是发生在通道增益低于一定阈值的深层褪色事件中，从而收紧了联盟。然后，相对于增益阈值进行最小化，以使上限尽可能紧。我们还证明，目标函数在几个一般假设下具有一个最小化器，因此可以使用优化算法轻松找到最小值。在相关的瑞利褪色通道下，新的上限的表达得出，并提供了几个分析和数值示例，以显示所提出的结合的性能。
In this paper, we propose a new upper bound on the error probability performance of maximum-likelihood (ML) detection. The proposed approach provides a much tighter upper bound when compared to the traditionally used union bound, especially when the number of pairwise error probabilities (PEPs) is large. In fact, the proposed approach tightens the union bound by first assuming that a detection error always occurs in a deep fading event where the channel gain is lower than a certain threshold. A minimisation is then taken with respect to the gain threshold in order to make the upper bound as tight as possible. We also prove that the objective function has a single minimiser under several general assumptions so that the minimiser can be easily found using optimisation algorithms. The expression of the new upper bound under correlated Rayleigh fading channels is derived and several analytical and numerical examples are provided to show the performance of the proposed bound.
