信号类课程教学中连续与离散的类比性

Analogy of continuity and discreteness in teaching of signal courses

从探索信号类课程中连续和离散两部分内容并行讲授的角度出发,对具有共性和可比性的知识点进行了类比性的解读。涉及时域分析中连续信号和离散序列的内在联系,连续系统和离散系统的卷积分析法,频域分析中基于傅里叶变换与离散时间傅里叶变换的频谱分析法,复频域分析中的基于拉氏变换和z变换的系统函数法,以及从连续性与周期性看傅里叶变换和离散傅里叶变换的本质等方面的内容。简要地给出了课程整合的实践思路。

To search after the possibility of parallel teaching for the continuous and discrete parts in the signal courses, we analyze the knowledge points of common and comparable nature. The study relates to the internal relations of continuous signals and discrete sequence in time-domain analysis, the convolution analysis method of continuous systems and discrete systems, the spectrum method based on Fourier transform and discrete-time Fourier transform in frequency-domain analysis, the system function method based on Laplace transform and z-transform in complex frequency-domain analysis, and behold the essence of Fourier transform and discrete Fourier transform from the continuity and cyclical. Furthermore, the practice idea of curriculum reform is put forward.