数字信号处理课程中滤波器线性相位特性教学实验研究

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中图分类号：TN713；TP39；G434 文献标识码：A 文章编号：2096-4706（2025）12-0036-05

Experimental Study on Linear Phase Characteristics of Filter in Digital Signal Processing Course

LUO Chenggao， XU Ke， ZENG Yang， YI Jun （CollegeofElectronicScienceandTechnologyNationalUniversityofDefenseTchnology，Changsha4o3，hina）

Abstract：The linear phase characteristics of digital flters have important applications in electronic information systems， andare alsoanimportant knowledge pointinthe undergraduatecourseof“Digital SignalProcessing”.However，inteaching practice，teachersoftenexplain itonlythrough theoreticalanalysisanddrawing phase-frequencycharacteristicfunctions，which leads tostudents'lackof intuitive knowledgeandunderstandingoflinearphasecharacteristicsandtheirengineringaplication background.Inthis paper，ateaching experiment thatfexiblyadjuststhephasecharacteristicsoftheflterisdesignedbyusing thecircularconjugatesymmetrycharacteristicoftheDiscreteFourierTransform.Byintuitivelyfelingtheefectofaudiosignal beforeandafterfiltering，studentscandeepen theirunderstandingofrelevantknowledgepointssuchasfilterdesignintheoretical courses，nd improve theirunderstanding of the importanceoflinear phasecharacteristics in engineringapplications.

Keywords： digital filter; linear phase characteristic; circular conjugate symmetry characteristic; Discrete Fourier [ransform

0 引言

按照相频响应的特性来划分，数字滤波器可以被明确地划分为线性相位和非线性相位两种类型[1]。（剩余4917字）