“数字信号处理”课程中采样定理的一种推导方法

采样定理是"数字信号处理"课程的教学难点之一。现有的采样定理的推导方法与采样电路模型联系较少,使得学生在学习过程中对采样定理的物理意义了解不够清楚,本文给出了采样定理另一种推导方法。教学实践表明,本文推导方法的数学表达式能反映出采样过程中信号频谱的变化,有助于学生理解与掌握采样定理。

A Derivation Method for Sampling Theorem in Digital Signal Processing Course

The sampling theorem is one of the difficulties in the teaching of Digital Signal Processing course. The derivation of the existing sampling theorem has little contact with the actual circuit model,leading to students confuse the physical significance of the sampling theorem in learning. Another derived method for sampling theorem is proposed in this paper. The teaching practice shows that because the mathematical expressions in proposed method are consistent with the signal spectrum changes during a sampling process. It is helpful for students to understand and grasp the sampling theorem.