中山大学《数字信号处理》期末考试试卷(含答案).pdf

中山大学软件学院2008级软件工程（通信软件）专业(2010学年春季学期)《SE-328数字信号处理》期末考试试卷(A)(考试形式：闭卷考试时间:2小时)《中山大学授予学士学位工作细则》第六条警示考试作弊不授予学士学位方向：姓名：______学号：注意：答案一定要写在答卷中，写在本试题卷中不给分。本试卷要和答卷一起交回。1.Considerthediscrete-timesystemcharacterizedbytheinput-outputrelationxn1ynyn12yn1wherexnandynare,respectively,theinputandoutputsequences.Showthattheoutputynoftheabovesystemforaninputxnnwithy11convergestoasnwhenisapositivenumber.Istheabovesystemlinearornonlinear?Isittime-人invariant?Justifyyouranswer.(12points)许何名无2.DeterminetheDTFTofeachofthefollowingfinite-lengthsequence(16points)1NnNN1nNnN(a)yn(b)yn0otherwise0otherwise3.AcausalLTIFIRdiscrete-timesystemischaracterizedbyanimpulseresponsehnan2an1anan1.Forwhatvaluesoftheimpulseresponse1234jsampleswillitsfr