数字信号处理08A_答卷

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1、浙江科技学院考试试卷专业班级学号姓名………………………………………………………………………装订线……………………………………………………………………………………浙江科技学院2012-2013学年第一学期考试试卷A卷考试科目数字信号处理考试方式闭完成时限2小时拟题人审核人批准人2012年12月18日信息与电子工程学院2010年级电子信息工程（互联网方向）专业SolutionsforReferenceandItsScoreCriteriaPartoneFundamentals(Total8Questions

2、inThisPart,EachQuestionIsMarkedoutof8)Question1(8Marks)Discrete-timesystemdifferentialequationisgivenbywherex(n)andy(n)arethesystem’sinputandoutputrespectively,determinethelinearityofthesystem.SolutionforReferenceSupposethesystemprovidestwooutputsy1(n)an

3、dy2(n)giventheinputsofx1(n)andx2(n)respectively,thenwehaveThus,itisnonlinearsystem（3Marks+3Marks+2Marks）Question2(8Marks)Determinetheinversez-transformsofthefollowingz-transforms.(a),ROC（5Marks）(b)（3Marks）.SolutionforReference：(a)Apartial-fractionexpansi

4、onofX(z)isthenoftheform第10页共10页浙江科技学院考试试卷(2Marks)TheROCofX(z)includes，thereforeisacausalsequence.Theinversez-transformoftheaboveisgivenby(1Marks)（2Marks）（b）Thez-transformofadiscretesequencex(n),expressedasX(z),isdefinedasThustheinversez-transformofX(z)ca

5、nbegivenby（1Mark+2Marks）Question3(8Marks)ConsidertheconnectionofthreeLTIsystemsasfollows:Let,and,thendetermineunitsampleresponseofthewholesystem.SolutionforReference：Theunitsampleresponseofthewholesystemisoftheform（3Marks）第10页共10页浙江科技学院考试试卷(2Marks)(3Mark

6、s)Question4(8Marks)Letthecontinuous-timesignalis(a)DeterminetheNyquistfrequencyof(4Marks).(b)IfissampledatthedoublerateoftheNyquistfrequency,whatisthesamplingperiodTsofsinewaveinthesampledsequence.?Whatisthesampledsignal?(4Marks)SolutionforReference：(a)T

7、hefrequencyofsignalis325Hz(1Mark)Thefrequencyofsignalis360Hz(1Mark)Thus,thehighestfrequencyofis360Hz(1Mark)AndtheNyquistfrequencyofis360Hz(1Mark)(b)Thesamplingfrequencyfs=360Hz*2=720Hz,andthesamplingperiodTs=1/720s(2Marks)Thesampledsignalcanbegivenby(2Ma

8、rks)第10页共10页浙江科技学院考试试卷Question5(8Marks)Letx(n)bealength-3sequencedefinedby(a)DeterminetheDTFTofx(n)(4Marks).(b)DeterminetheN-pointDFTofx(n)(4Marks).SolutionforReference：(a)TheDTFTofx(n)canbegivenasfollows(2Marks)(2Marks)(b