数字信号处理的两个知识点的教学思考

Teaching Thinking of Two Knowledge Points on Discrete Fourier Transform

在研究生课程"数字信号处理理论及算法"中,离散傅立叶变换和最小方差无失真响应是两种重要的滤波和功率谱估计方法。本文将这两个分散的知识点有机的结合一起,不仅可起到归纳课程内重要知识点的作用,还可让学生在课程学习过程中更好的理解离散傅里叶变换和最小方差无失真响应的内在联系与本质差异,在深刻理解它们的最优性的同时,明确它们固有的局限,从而避免实际应用中可能遇到的风险。

Discrete Fourier transform （DFT） and minimum variance distortless response （MVDR） are two of most important methods in the graduate course of Theory and Algorithm of Digital Signal Processing. Combining these two knowledge points not only can contribute to summarize the important knowledge points in the course, but also help the students to have a better understanding about the intrinsic relationship and the essential difference between DFT and MVDR. Moreover, when deeply understanding their optimality, the students should be clear on their inherent limitation to avoid the possible risks in practical application.