采样理论中的正交变换问题  

Orthogonal Transformation in Sampling Theorem

作　　者：刘永红[1] 付荣荣[1] LIU Yonghong;FU Rongrong(Electrical Engineering Institute,Yanshan University,Qinhuangdao 066004,China)

机构地区：[1]燕山大学电气工程学院,秦皇岛066004

出　　处：《电气电子教学学报》2023年第1期110-113,共4页Journal of Electrical and Electronic Education

基　　金：河北省教育厅研究生示范课(KCJSX202022)。

摘　　要：采样理论是信号处理教学的重要内容,从信号空间及投影角度出发,论证了采样定理与傅里叶变换类似,都属于信号的正交变换过程,基于信号先验知识,采用不同内插函数的模数转换扩展了采样理论的应用范围,有助于加深对采样理论抽象概念的理解与掌握。Sampling theorem is an important content in the teaching of signal processing theory.From the perspective of signal space and projection,the sampling theorem is demonstrated similar to Fourier transform and belongs to the orthogonal transformation of signal.Based on the prior knowledge of signal and the analog-to-digital conversion with different interpolation functions,the application scope of sampling theory is expanded,which is helpful to deepen the understanding and mastery of the abstract concepts.

关 键 词：信号空间 正交分解 采样定理 

分 类 号：G420[文化科学—课程与教学论] G423.07[文化科学—教育学]