信号能量特性在时频分析授课中的应用

Using Energy Characteristics of Signals to Teach the Time-Frequency Analysis Course

基于纯数学理论以及信号的能量守恒和能量有限性质,分别对瞬时频率和厄密算子两个知识点进行了论证.通过对比可以看出,使用能量特性的证明过程比纯数学理论的证明过程更加简单、直观,更能够反映该知识点的物理本质.根据历年的学生反馈,使用信号能量特性进行时频分析课程讲解,能够获得比较好的教学效果.

Two knowledge points of instantaneous frequency and Hermitian operator are introduced based on the pure mathematics theory and the physical characteristics of signals energy conservation and finite energy respective- ly. It is showed that, by comparing the above results, the proving process using energy characteristics is simpler than using pure mathematics theory and the former can reflect the physical nature of the knowledge points more clearly than the latter. According to the student feedback over the years, it can obtain better teaching effect that u- sing the signal energy characteristics to teach the time-frequency analysis course.