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 explanat

ion. 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.