“数字信号处理”教学中易混淆的问题讨论

Several Confusable Problems in Teaching of Digital Signal Processing

"数字信号处理"课程理论性和实践性比较强,概念比较抽象,学生感到难以理解和掌握。本文对"数字信号处理"教学中易混淆和易出错的知识点,如系统因果稳定性的判断、翻褶移位函数的实现及其Z变换、卷积与相关、四种傅里叶变换的关系、傅里叶变换的对称性以及高密度谱和高分辨率谱等部分,采用实例和对比讲解的方法,加上Matlab仿真,讨论了它们的实现及应用,以加深学生对概念的理解。

Digital Signal Processing is one of the most important courses for underground students related to the electronic and information specialty. Due to the characteristic of the course, such as strong theory and practicability, abstract in concept, it is difficult to understand. In this paper, several confusable problems are analyzed, such as the stability condition and causality condition of the discrete system, the folding and shifting operation and the Z transform, the convolution and the correlation, four kinds of Fourier trans- forms, the symmetry relation of Fourier transform, the high-density spectrum and the high-resolution spectrum. Through the examples, the contrastive method and Matlab experiments, the theory and applications are explained in detail.