基于希尔伯特变换的带通信号包络频谱分析及Matlab仿真

Envelope spectrum analysis and Matlab simulation of band signal based on Hilbert transform

在数字通信教学过程中常出现几个容易混淆的信号形式:带通信号、解析信号、预包络信号、等效低通信号、复包络信号及包络信号.为了在教学中帮助学生区分这些信号形式,提高教学效果,基于信号的希尔伯特变换,通过对带通信号包络的理论分析及Matlab仿真过程,阐述了各类信号的区别及其应用.教学实践表明,对各种信号形式的理论分析对比与仿真可以应用于教学过程中,对各种形式的信号加以区别与仿真分析,有利于学生对于这些信号理解掌握和应用.

In the course of digital communication teaching,there exits several confusing signal forms,band signal,analytic signal,pre-envelop signal,equivalent low signal,complex envelop signal and envelop signal.In order to help students distinguish these signal forms and improve the teaching effect,the difference of the above signal and theirs application are illustrated based on the Hilbert transform through the envelopment analysis and the Matlab simulation process.The teaching practice proved that the combination of the theory comparison analyses with simulation is feasible to the above several signal.The distinguish between the various forms of signal and the simulation analysis,is helpful to students to understand,master and apply these signal.