Relationship Between Two Distortion Measures for Memoryless Nonlinear Systems
Relationship Between Two Distortion Measures for Memoryless Nonlinear Systems
复制标题
无记忆非线性系统的两种失真测量之间的关系
DOI：
10.1109/lsp.2010.2072498
复制
发表时间：
2010
影响因子：
3.9
通讯作者：
P. Zillmann
中科院分区：
文献类型：
--
作者：
P. Zillmann
具有高斯统计的随机信号的无记忆非线性变换在各种信号处理应用中都会遇到。描述失真误差的一个众所周知的标准是非线性的输入和输出信号之间的均方误差（MSE）。已经发现特别在多载波通信领域中有用的不同标准是信号失真噪声比（SDNR），其基于非线性输出的BUSSGANG分解。结果表明，SDNR最优解与最小MSE解一致，从而简化了无记忆非线性函数关于SDNR的优化。将所得结果应用于高斯信号的量化和动态范围缩减。
Memoryless nonlinear transforms of random signals with Gaussian statistics are encountered in a variety of signal processing applications. A well-known criterion for the description of distortion errors is the Mean Squared Error (MSE) between the input and output signals of the nonlinearity. A different criterion which has been found to be useful especially in the field of multicarrier communications is the Signal-to-Distortion Noise Ratio (SDNR), which is based on the BUSSGANG decomposition of the output of the nonlinearity. It is shown that the SDNR optimum coincides with the minimum MSE solution, which simplifies the optimization of memoryless nonlinear functions with respect to SDNR. The results are applied to quantization and dynamic range reduction of Gaussian signals.