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6.5SolutionMethod1.LetTheyareshowninthefigures,whereSowecangetMethod2.UsingtheinverseFTdefinition,itisobtainedmoreconcentrated.6.23Solution.FromtheinverseFTdefinitionwecangetfollow:(a)(b)(c)6.27Solution(a),where,.(b)Thegroupdelayis(c),(d)Usingthepartial--fractionexpansion.So,wecanget.6.33SolutionBecause.Itisshownthattheoverallsystemisahighpassfilterinthefollowingfigure.(b)Justsimilarto(a),Itisshownthattheoverallsystemisalowpassfilterinthefollowingfigure.Theresultwillcontaintruthinthediscrete--timesystem.