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1、ResearchonFIRDigitalFilterDesignUsinganImprovedWindowFunctionTANJiajie,LUOChangyou,HUANGSanwei，DENGXiaohui(DepartmentofPhysicsandElectronicInformationScience,HengyangNormalUniversity,HengyangHunan421008,China)Abstract:Windowfunctionhasbeenusedtodesignalinearphasedigitalfile
2、rforlongtimes,buttheuseofoptimizationtechniquesfordesigningdigitalfilterhasbecomewidespreadinrecentyearAnewmethodhasbeenproposedtoimproveFIRwindowfunctioninthispaper，ThewindowfunctionthatcombineswithcosinesequencesinlinearisdifferentfrompreviousHann,HammingandBlackmanwindo
3、wfunctionThepaperalsoproposeslinearprogrammingtooptimizecharacterizationofFIRdigitalfilteraccordingtoitsmagnitudecondition,andgivesoutthealgorithmtodesigndigitalfilterusingtheimprovedwindowfunction,Finally,wehavedesignedFIRfilterusingnewwindowforsimulationandcomparedwiththe
4、filterdesignedbyHammingwindow,BlackmanwindowfunctionThesimulationresultsshowthatfiltersdesignedusingthismethodtomeetthedesignspecificationsKeywords:improvedwindowfunction;FIRdigitalfilter;windowfunction;linearprogramming0leadspeechThedesignmethodofFIRdigitalfiltersaremainly
5、:windowfunctionmethod,frequencysamplingmethodandthechebyshevetccorrugatedapproximationmethod[1-4].WindowfunctionmethodisthemostcommonlyuseddesigningFIRdigitalfilters,thesimplestmethodof[4-5].Theessenceofwindowfunctionmethodisthetruncatedidealimpulseresponsetoapproximatethem
6、ethodpetitionsfilterindex.Frequencysamplingmethodisadesignoptimizationmethodforitsshortcomingiswhenthedesignthatusethevariableislimitedtoafewsamplesvaluesoftransitional,cut-offfrequencynoteasycontrol[3].Chebyshevetccorrugatedapproximationmethodisakindofoptimizationdesign,bu
7、texistingcomputationalcomplexity,bigdisadvantagecomputation[1-2].Windowfunctionmethodissimpleindesign,haveclosedformofformula,thusverypractical.Defectisthestopbandbandpass,cut-offfrequencynoteasycontrol[2-3].Digitalfilter,windowfunctionofauto-heatingwindowfunctionmethodofse
8、lecting,thekeyis:designtochoosetheappropriatewindowfunction,choosetherightordernum
