高斯白噪声经过线性系统后等效带宽特性研究  

Research on Equivalent Bandwidth Characteristic of white Gaussian Noise Through Linear System

作　　者：朱春华[1] 杨静[1] 师黎明[1] 李广平[1] 

机构地区：[1]河南工业大学信息科学与工程学院,河南郑州450001

出　　处：《电视技术》2012年第11期93-95,共3页Video Engineering

摘　　要：以随机信号经过线性系统理论为基础,研究了加性高斯白噪声经过滤波器后的带宽特性、等效带宽特性以及两者的关系,推导了以低通滤波器为例的线性系统的带宽和等效带宽公式。分析结果表明,等效带宽是说明线性系统滤波能力的一个重要参数,简单的使用带宽参数代替噪声等效带宽参数将使线性系统输出噪声功率的计算值增加,从而导致系统输出信噪比偏低,影响系统抗噪或滤波性能的评价。Based on the theory on random signal through linear system, the bandwidth and equivalent bandwidth characteristics of additive white Gauss- ian noise through the filter system and their relations are researched. The bandwidth and equivalent bandwidth equations of the linear system are derived in case of lower pass filter. The analysis shows that the equivalent bandwidth parameter is a representative index of linear system filtering ability, the re- placement of the equivalent bandwidth parameter by the bandwidth parameter for simplification will make linear system output noise power calculation val- ue increased, which leads to the system output signal to noise ratio （SNR） smaller, thereby affects the system anti -noise or filtering performance evalua- tion.

关 键 词：高斯白噪声 等效带宽 线性系统 

分 类 号：TN911.4[电子电信—通信与信息系统]