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当前位置:首页 > 商业/管理/HR > 管理学资料 > 离散时间系统与z变换分析法(二)
2004-12-261((Signal&system)Signal&system)xucbxucb@@cquptcqupt..eduedu..cncn225.95.9ZZ5.9.15.9.15.9.25.9.25.9.35.9.3335.9.15.9.1(1)(1)nn0)(0=+∑=niziiikyaZZ∑∑∑==−=−=niiiniikkiziizizazkyazY0010)()(YYzizi((zz))ZZyyzizi((kk))445.9.15.9.1(2)(2)0)(6)1(5)2(=++−+kykyky2)0(=ziy3)1(=ziy)(kyziZZ0)(6)]0()([5])1()0()([12=+−−−−−zYyzYzzyyzYzzizizizizizi3236572)(22−−−=+−−=zzzzzzzzzYzi0323)(≥−⋅=kkykkzi555.9.25.9.2(1)(1))(*)()(khkxkyzs=)()()(zHzXzYzs=nn)()()()(00zXzHzXzazbzYniiimjjjzs=⋅=∑∑==∑∑==+=+mjjniijkxbikya00)()(∑∑===niiimjjjzazbzH00)(665.9.25.9.2(2)(2))(3)2()(6)1(5)2(kxkxkykyky−+=++−+)()(kUkx=)(kyzs)(kh653)(22+−−=zzzzH6531)()()(22+−−⋅−=⋅=zzzzzzHzXzYzsZZ)1()232()()(1−−⋅+=−kUkkhkkδ)()32121()(1kUkykkzs+⋅+−−=775.9.35.9.3(1)(1)nn∑∑==+=+mjjniijkxbikya00)()(ZZ∑∑∑∑∑∑∑===−=−−=−==−+⋅=niiinimjjkkjjikkiiniiimjjjzazkxbzkyazXzazbzY000101000)()()()()()()(zYzYzYzizs+=)()()(kykykyzizs+=885.9.35.9.3(2)(2)01110111)(azazazabzbzbzbzHnnnnmmmm++++++++=−−−−LL)()(zHzXYzs⋅=∑∑∑∑∑∑∑∑==−=−=−=−==−=−−==niiimjjkkjjniikkiiniiiniikkiziizizazkxbzkyazazkyazY00100100010)()()()(995.9.35.9.3(3)(3)::)1(2)2(7)(1.0)1(7.0)2(+−+=++−+kxkxkykyky)()(kUkx=9)0(=y9.13)1(=y112211ZTZT)]0()([2])1()0()([7)(1.0)]0()([7.0])1()0()([1212xzXzzxxzXzzYyzYzzyyzYz−−−−=+−−−−−−10105.9.35.9.3(4)(4))1)(1.07.0(27.827.49)(223−+−−+=zzzzzzzYZZ02.05.105.075.12)(≥⋅−⋅+=kkykk22ZTZT)]0()([2])1()0()([7)(1.0)]0()([7.0])1()0()([1212xzXzzxxzXzzYyzYzzyyzYz−−−−=+−−−−−−11115.9.35.9.3(5)(5)1.07.027.82)(22+−+=zzzzzYzi11.07.027)(22−⋅+−−=zzzzzzzYzsZZ02.0105.012)(≥⋅−⋅=kkykkzi)()2.05.05.055.12()(kUkykkzs⋅−⋅−=02.05.105.075.12)()()(≥⋅−⋅+=+=kkykykykkzszi12125.105.105.10.15.10.15.10.25.10.213135.10.15.10.1(1)(1)ZZ)()(zHkh↔)()()()(khkykkxzs=→=δ1)(=zX)()()()(zHzHzXzYzs==)()(zHkh↔)3()3(23−−⋅−kUk)3(2)(2+=zzzH?)(=kh)(2)(kUkhk=?)(=zH2−zz14145.10.15.10.1(2)(2))()1()1()()()1()1()(011011kxbkxbmkxbmkxbkyakyankyankyammnn++++−+++=++++−+++−−LLZZ01110111)()()(azazazabzbzbzbzXzYzHnnnnmmmmzs++++++++==−−−−LL15155.10.15.10.1(3)(3))()1(2)(2)1(3)2(kxkxkykyky++=++++)(kh2311)2)(1(122312)(2+++−=+++=+++=zzzzzzzzzH)1(])2(3)1([)(11−−⋅+−−=−−kUkhkk16165.10.15.10.1(4)(4)::)1()23()(2)(−−+=kUkkhkkδ65129222332)(22+−+−=−−−+=zzzzzzzH)(12)1(9)2(2)(6)1(5)2(kxkxkxkykyky++−+=++−+17175.10.15.10.1(5)(5)HH((zz))hh((kk))ωjσ00t0t0t0t0t0t0t0t0t(())18185.10.25.10.2(1)(1)HH((zz))zzHH((zz))zzHH((zz))HH((zz))zz19195.10.25.10.2(2)(2))()()(zDzNzH=0)(0111=++++=−−azazazazDnnnnLzzDD(1)0(1)0((--1)1)nnDD((--1)01)0aa22||aa00||DD(1)0(1)0DD((--1)01)020205.10.25.10.2(3)(3)0)(0111=++++=−−azazazazDnnnnL1122334455MMMLLLLLL2100321210012112100121−−−−−−−−−−nnnnnnnnnnnnccccccbbbbbbbbaaaaaaaaaa22nn--3366nnnaaaab001=−1012−−=nnnaaaabM10012−−−=nnnbbbbc20113−−−=nnnbbbbcM21215.10.25.10.2(4)(4)0)(0111=++++=−−azazazazDnnnnL11−+=ssz0)Re(1||⇔sz⎪⎩⎪⎨⎧=⇔⎩⎨⎧=−+=0)Re(0|)(1||0)(11szDzzDssz⎪⎩⎪⎨⎧=⇔⎩⎨⎧=−+=1||0|)(0)Re(0)(11zsDssDzzs22225.10.25.10.2(5)(5)2262)(2+−−=zzzzH12242)(2−+−=zzzzH211211)(−−−+−+=zzzzH(1)(1)(2)(2)(3)(3)(1)(1)012)(2=+−=zzzD1=z06)1(=D010)1(=−D(3)(3)0122)(2=−+=zzzD01)1(−=−D(2)(2)0226)(2=+−=zzzD2||602==aa23235.10.25.10.2(6)(6)0144322)(2345=+++++=zzzzzzD0144322)1(+++++=D0)144322()1()1()1(+−+−+−−=−−nnD1122334455MMM273061515630273025665203223441144322−−−−−−6624245.10.25.10.2(7)(7)0)12()(2=−++=KzzzDKK|12|||102−==Kaa01211)1(−++=KD01211)1(−+−=−KD10K5.0−K5.0K15.0K25255.10.25.10.2(8)(8)11−+=ssz0)12(11)11()(211=−+−++−+=−+=KsssszDssz0)12()44()12(2=−+−++KsKsK012+K044−K012−K15.0K26265.115.11(1)(1))(|)(|)()(ωθωωωjTjTjezeeHeHzHTj===kTjekxω=)()]([|)(|)()()(*)()(ωθωω+∞−∞==−==∑kTjTjnzseeHnkhnxkhkxky((zz)))]([|)(|)()(ωθωωωω+==kTjTjTjkTjzseeHeHekykTjeω|)(|TjeHω)(ωθ|)(|TjeHω)(ωθH(H(zz))27275.115.11(2)(2))(|)(|)(ωθωωjTjTjeeHeH=kTjekxω=)(((zz)))]([|)(|)()(ωθωωωω+==kTjTjTjkTjzseeHeHeky)](cos[|)(|)(0ωθϕωω++=kTeHAkyTjzs)1()(AHkyzs=Akx=)()cos()(0ϕω+=kTAkx)sin()(0ϕω+=kTAkx)](sin[|)(|)(000ωθϕωω++=kTeHAkyTjzs11HH((zz))kakx=)(kzsaaHky)()(=22aaHH((zz))28285.115.11(3)(3))(TjeHωTjeωω)(TjeHωω|)(|TjeHωω)(ωθω10)(11−=aazzzH)(111|)(|sin)cos1(1)(ωθωωωωωωjTjTjTjTjeeHTjaTaaeeeH=+−=−=29295.115.11(4)(4)2121)sin()cos1(1|)(|TaTaeHTjωωω+−=TaTaarctgωωωθcos1sin)(11−−=|)(|TjeHωωω)(ωθ111a−111a+2111aaarctg−2111aaarctg−−Tπ2Tπ200)Im(z)Re(zMvNvϕ1a0ψMNaeeeHTjTjTjvv=−=1)(ωωωMNeHTj=|)(|ωψϕωθ−=)(30305.115.11(5)(5)(1)(1)zz=0=0(2)(2)ωωωω
本文标题:离散时间系统与z变换分析法(二)
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