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Analytical H∞ design for a Smith-type inverse-...

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AnalyticalH∞designforaSmith-typeinverse-responsecompensator
The Discrete Fourier Transform

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Fourieranalysisisafamilyofmathematicaltechniques,allbasedondecomposingsignalsintosinusoids.ThediscreteFouriertransform(DFT)isthefamilymemberusedwithdigitizedsignals.ThisisthefirstoffourchaptersontherealDFT,aversionofthediscreteFouriertransformthatusesrealnumberstorepresenttheinputandoutputsignals.ThecomplexDFT,amoreadvancedtechniquethatusescomplexnumbers,willbediscussedinChapter31.InthischapterwelookatthemathematicsandalgorithmsoftheFourierdecomposition,theheartoftheDFT.CHAPTERTheDiscreteFourierTransform8Fourieranalysisisafamilyofmathematicaltechniques,allbasedondecomposingsignalsintosinusoids.ThediscreteFouriertransform(DFT)isthefamilymemberusedwithdigitizedsignals.ThisisthefirstoffourchaptersontherealDFT,aversionofthediscreteFouriertransformthatusesrealnumberstorepresenttheinputandoutputsignals.ThecomplexDFT,amoreadvancedtechniquethatusescomplexnumbers,willbediscussedinChapter31.InthischapterwelookatthemathematicsandalgorithmsoftheFourierdecomposition,theheartoftheDFT.TheFamilyofFourierTransformFourieranalysisisnamedafterJeanBaptisteJosephFourier(1768-1830),aFren……

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