摘要
离散傅里叶变换是"数字信号处理"课程的重要教学内容,然其定义及主要性质涉及大量数学公式推导表征,较为抽象枯燥,不利于学生直观深入理解;且课程内容中对理论知识的具体应用场景涉及较少,难以激发学生的学习兴趣.针对此问题,提出了将数字图像频谱分析作为离散傅里叶变换性质教学的辅助手段,对线性、循环移位、对称性、对偶性等主要性质,分别进行直观形象的可视化展示.课程实践结果表明,该教学设计能有效提高学生的学习兴趣和知识掌握度,取得了较好的教学效果.
Abstract
Discrete Fourier transform(DFT)is one of the important parts of the Digital Signal Processing course.However,the derivation of its definition and main properties involves a large number of abstract mathematical formulas,which makes it hard for students to understand intuitively and deeply;moreover,the course does not emphasize enough on practical applications of its the-oretical concepts,principles,and so on,making it difficult to evoke students'interest.To solve this problem,in this paper,we propose to use digital image spectral analysis to assist the learning of DFT properties,including linearity,circular shift,symme-try,duality and so on,in a more visual way.The teaching experiment results show that the new teaching method can effectively improve students'learning and understanding,and increase their interest in the course,achieving a good teaching effect.
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