Digital Filters with MATLAB

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1、DigitalFilterswithMATLAB®∗RicardoA.LosadaTheMathWorks,Inc.May18,2008∗MATLAB®andSimulink®areregisteredtrademarksofTheMathWorks,Inc.RicardoLosadaiswiththeSignalProcessingandCommunicationsdevelop-mentteamatTheMathWorks,Inc.ContentsIFilterDesign81BasicFIRFilte

2、rDesign91.1WhyFIRfilters?..........................91.2Lowpassfilters..........................101.2.1FIRlowpassfilters....................111.2.2FIRfilterdesignspecifications.............111.2.3WorkingwithHertzratherthannormalizedfrequency141.3OptimalFIRfilterd

3、esign.....................151.3.1OptimalFIRdesignswithfixedtransitionwidthandfilterorder.........................151.3.2Optimalequirippledesignswithfixedtransitionwidthandpeakpassband/stopbandripple..........221.3.3Optimalequirippledesignswithfixedpeakripplean

4、dfilterorder......................261.3.4Constrained-bandequirippledesigns.........271.3.5Slopedequiripplefilters.................281.4Furthernotesonequirippledesigns..............321.4.1Unusualend-pointsintheimpulseresponse.....321.4.2Transitionregionanomal

5、ies...............331.5Maximally-flatFIRfilters.....................351.6Summaryandlookahead....................372BasicIIRFilterDesign392.1WhyIIRfilters...........................402.2ClassicalIIRdesign........................402.2.1Cutofffrequencyandthe3-dB

6、point..........412.2.2Butterworthfilters....................412.2.3ChebyshevtypeIfilters.................42CONTENTS32.2.4ChebyshevtypeIIdesigns................442.2.5Ellipticfilters.......................472.2.6Minimum-orderdesigns.................482.2.7Comp

7、arisontoFIRfilters................502.3IIRdesignsdirectlyinthedigitaldomain...........522.4Summaryandlookahead....................543NyquistFilters563.1DesignofNyquistfilters.....................573.1.1EquirippleNyquistfilters................583.1.2Minimum-or

8、derNyquistfilters.............613.2Halfbandfilters..........................613.2.1IIRhalfbandfilters....................633.3Summaryandlookahead....................654MultirateFilterDesign674.1Reducingthesampli