关于“数字信号处理”课程“围线积分法”求z反变换思政教学的研究和探索

Research and Exploration of Curriculum Ideology and Politics Teaching of“Digital Signal Processing”on the Contour Integral Method for Inverse z-Transforming

“数字信号处理”类课程思政教学实施起来难度较大且富有挑战性,本文对在“围线积分法”求z反变换教学过程中如何有效融入思政元素进行了研究和探索。论文首先从中算学著名的贾宪三角形及其所隐含的斐波那契序列相关的代数学规律出发,介绍了该序列通项计算表达式的具体特点。然后,基于数字信号处理课程教学中z反变换求取的“围线积分法”法,以例题形式分析了跟斐波那契序列通项公式求取相关的z变换表达式及收敛域的对应关系。在教学中,以例题讲解的形式可巧妙地把相关思政元素融入进去。经过3个学期的教学实践和反馈表明,如此进行思政教学,既可增强“围线积分法”求z反变换教学的趣味性,又可提高学生的学习兴趣和动力,具有良好的教学成效,值得在计算机学科相关教学过程中予以参考和借鉴。

Ideological and political curriculum teaching of digital Signal processing is difficult and challenging to implement.This paper studies and explores how to effectively integrate ideological and political elements in the teaching process of inverse z-transformation by the contour integral method.First of all,from the famous Jia Xian triangle and connotative Fibonacci sequence as well as related algebraic laws,the paper introduces the specific characteristics of the general term calculation expression of the sequence.Then,based on the contour integral method for obtaining the inverse z-transform in the teaching of digital signal processing,the corresponding relationship between the z-transform expression and the convergence domain related to obtaining the general term formula of Fibonacci sequence is analyzed in the form of an example.In curriculum teaching,relevant ideological and political elements can be skillfully integrated in the form of example explanation.After three semesters of teaching practice and feedback,it is shown that such ideological and political teaching can not only enhance the interest of the teaching of the contour integral method for z-inverse transformation,but also improve the students'learning interest and motivation.It has good teaching results and is worth reference in the relevant curriculum teaching process of computer science.