双线性变换原理的多角度比较分析  

Multi Angle Comparative Analysis of the Principle of Bilinear Transformation

作　　者：谢小娟[1] 张爱清[1] 冯友宏[1] Xie Xiaojuan Zhang Aiqing Feng Youhong(Academic of Physics and Electricity Information, Anhui Normal University, Wuhu A nhui 241000, China)

机构地区：[1]安徽师范大学物理与电子信息学院,安徽芜湖241000

出　　处：《山西电子技术》2016年第5期29-30,共2页Shanxi Electronic Technology

基　　金：国家自然科学基金(No.61401004)网络多媒体流QoS特征稀疏表示及柔性跨域映射方法研究

摘　　要：从三个不同的角度对双线性变换式引出进行了推导,首先是从表征系统的差分方程和微分方程近似的角度,其次从解决脉冲响应不变法的频谱混叠问题的角度,最后是对z=es T的数学近似的角度。分析比较发现,从解决脉冲响应不变法的频谱混叠问题的角度来分析逻辑性最强,教与学的效果会更好。In this paper,the derivation of bilinear transformation is derived from three different perspectives. The first is from the point of view of differential equation and differential equation,the second is from the solution for the problem of frequency spectrum aliasing of the impulse response,and the last is from the view of the mathematical approximation of z = es T. By comparative analysis,the second one is with the strongest logic and is better for teaching and learning.

关 键 词：数字滤波器 双线性变换 原理推导 

分 类 号：TN713.7[电子电信—电路与系统]