信号与系统信号与系统信号与系统 (12).pdf

《信号与系统信号与系统信号与系统 (12).pdf》由会员分享，可在线阅读，更多相关《信号与系统信号与系统信号与系统 (12).pdf（19页珍藏版）》请在淘文阁 - 分享文档赚钱的网站上搜索。

1、BEIJING JIAOTONG UNIVERSITYSignals and Systems Complex frequency-domain analysis for systemss-domain description for LTI systemsTransfer function and system propertiesImplementation structure for LTI systemss-domain analysis for LTI system responseInterconnection of C-T LTI systemsCascade connection

2、Parallel connectionFeedback connectionStructure diagram of C-T LTI systemsDirect form structureCascade form structureParallel form structureImplementation structure for LTI systemsCascade connectionParallel connectionFeedback connectionInterconnection of C-T LTI systemsInterconnection of C-T LTI sys

3、tems)s(2H)s(1HY sHs W s2()()()ss XHs H()()()21)s(2H)s(1HCascade connection of systems)(sX)(sY)(sW)(sY)(sX)s(2H)s(1HY sH s X sHs X s12()()()()()sX sH sH()()()12)s(2H+)s(1HParallel connection of systemsInterconnection of C-T LTI systems)(sX)(sY)(sX)(sY)s(2H)s(1HY sE s H s()()()1E sX sHs Y s()()()()2Y

4、sX sH s HsH s()()()1()121H s HsH sH s)1()()()121Feedback connection of systems)s(HInterconnection of C-T LTI systems)(sX)(sY)(sE)(sX)(sYInterconnection of C-T LTI systemsCascade connectionParallel connectionFeedback connectionStructure diagram of C-T LTI systemsDirect form structureCascade form stru

5、ctureParallel form structureImplementation structure for LTI systemsDirect form structureCascade form structureParallel form structureStructure diagram of C-T LTI systemsaa sH sb sniijinjjn 1().100mmmmnnnH sb sbsb sbsasa sa()11101110The transfer function H(s)for n-order LTI systemsLet m=n,H(s)is rep

6、resented as the cascade connectionH s()1Hs()2b sa sjijijinn00Structure diagram of C-T LTI systemsasa sa sH sbbsbsb snnnmmmm)1(1101(1)1101(1)s1a0a1an2an1b0b1bn2bn1bnX s()Y s()s1s1mmmmnnnH sb sbsb sbsasa sa()11101110Direct form structureStructure diagram of C-T LTI systems(m=n)feedback path.forward pa

7、th.ssH sss1)34576(1212Solution:Rewrite H(s)ass1s157X(s)Y(s)463Example 6.27:Depict the structure diagram of H(s).ssH sss76()34522Denominator feedback path.Numerator forward path.Each sub-system is implemented in direct form structure.H(s)=H1(s)H2(s).Hn(s)System H(s)is represented as the cascade conne

8、ction of one-order or second-order sub-systems with real coefficients.Cascade form structureStructure diagram of C-T LTI systemsH(s)=H1(s)+H2(s)+.+Hn(s)Parallel form structureSystem H(s)is represented as the parallel connection of one-order or second-order sub-systems with real coefficients.Each sub

9、-system is implemented in direct form structure.Structure diagram of C-T LTI systemsSolution:ssH sss1 710()551223(1)Direct form structures1s1s157X(s)Y(s)51032()55710H sssssExample 6.28:Depict the structure diagram of H(s).ssH ssss1 21 5()(5 5)11111s1s155X(s)Y(s)12s132()55710H sssssSolution:(2)Cascad

10、e form structureExample 6.28:Depict the structure diagram of H(s).sssH s25()1/25/64/3ssH ssss21 21 5()1(5/6)(4/3)11111s120.55/64/3X(s)Y(s)5s1s132()55710H sssssSolution:(3)Parallel form structureExample 6.28:Depict the structure diagram of H(s).ABAccording to the structure diagram,determine the transfer function.CD提交1分单选题AcknowledgmentsMaterials used here are accumulated by authors for years with helpfrom colleagues,media or other sources,which,unfortunately,cannotbe noted specifically.We gratefully acknowledge those contributors.Implementation structure for LTI systems