论文标题
非线性系统的Bussgang分解：基本理论和MIMO扩展
The Bussgang Decomposition of Non-Linear Systems: Basic Theory and MIMO Extensions
论文作者
论文摘要
在各种信号处理应用中出现的许多系统都是非线性的，例如，由于硬件障碍（例如非线性放大器和有限分辨率量化）。 Bussgang分解是一种流行的工具，用于分析涉及这种非线性组件的系统性能。简而言之，分解提供了非线性输出和输入之间的确切概率关系：输出等于输入的缩放版本加上不相关的失真。分解可以用于计算确切的性能结果，也可以用于将不相关的失真视为独立噪声的下限。本讲座说明了基本理论，提供了关键的例子，将理论扩展到复杂值的向量信号，并阐明了一些潜在的误解。
Many of the systems that appear in various signal processing applications are non-linear, for example, due to hardware impairments such as non-linear amplifiers and finite-resolution quantization. The Bussgang decomposition is a popular tool for analyzing the performance of systems that involve such non-linear components. In a nutshell, the decomposition provides an exact probabilistic relationship between the output and the input of a non-linearity: the output is equal to a scaled version of the input plus uncorrelated distortion. The decomposition can either be used to compute exact performance results or lower bounds where the uncorrelated distortion is treated as independent noise. This lecture note explains the basic theory, provides key examples, extends the theory to complex-valued vector signals, and clarifies some potential misconceptions.
