“复变函数与积分变换”实验例证式教学方法研究

——以FRFT为例

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中图分类号：G642 文献标识码：A 文章编号：1672-3791（2026）01-0215-04

Research on Case-Based Experimental TeachingMethod for Complex Functions and Integral Transforms 一Fractional Fourier Transformasan Example

GUO Yong 1* YANG Lidong²

1.School ofScience，InnerMongolia UniversityofScienceand Technology;2.SchoolofDigitaland Intellient Industry，Inner Mongolia University of Scienceand Technology，Baotou， Inner Mongolia AutonomousRegion， China

Abstract： In thecourse of Complex Ffunction and Integral Transforms，Fractional Fourier Transform（FRFT） is an extension partofintegraltransformknowledge.However，duetoitsinherentabstractcharacteristics，moststudents often find it dificult tounderstand its concepts，properties and applications intuitively.Therefore，this paper proposes an FRFT case-based experimental teaching method based on actual cases of digital signal processing.This teaching method，relyingon the intuitive advantages of examples，not onlydeepens studentsunderstandingof the theoretical knowledgeofFRFT，butalsoefectivelystimulates theirlearning interestand furtherenhancestheirability to apply theoretical knowledge to practice.This teaching method is highly consistent with the actual needs of information-related major students and provides them with a more effective way for learning and research.

Keywords： Complex functions and integral transforms; Case-based experimental teaching method; Digital signal processing; Fractional Fourier transform

科教资讯

“复变函数与积分变换”是信息类专业的高阶数学基础类课程之一，这门课程既具有传统数学类课程的特点，又具有与实际问题紧密联系的特征[1-3]。（剩余3604字）