1、第 1 頁(yè)，共 4表常用的連變換對(duì)及其對(duì)偶關(guān)1 f (t) F()ejtF() f(t)e jt 2 連變換相對(duì)偶的連變換重要ff重要11d tj2 d (dk dt(j)tk kd1 (1(t第 1 頁(yè)，共 4表常用的連變換對(duì)及其對(duì)偶關(guān)1 f (t) F()ejtF() f(t)e jt 2 連變換相對(duì)偶的連變換重要ff重要11d tj2 d (dk dt(j)tk kd1 (1(t) j d () sgn(t) 1,t 1,t21 ,t F() j, j, (t t0 e ej2(0(0)( 0(t t0)(t t0 2j(0)( 0(t t0)(t t0 j2sin 0,t Sa( 2W

2、 0, f(t)1t ,t 0,t Sa2 ( 2W Sa2 (Wt 0, eatu(t),Rea 1a 1 2eu(), eat ,Rea2 at2 e , eat cos tu(t),Rea 0a (a j)2 0eat sin tu(t),Rea0(a j)2 0teatu(t),Rea 1(a j, 0 ( jt)22e u(tk1eu(t),Rea(k 1(a jT (t) (t lTl2 (k 2T k t e ( e u(t ) u(t )cos ( 0 )( 0) SaFejk0t k2Fk( k0 k取取共共軛取共軛取共2第 2 頁(yè)，共 4連變換性質(zhì)及其對(duì)偶關(guān)1 f (t)

3、F()ejtF() f(t)e jt 2 f(0) 1 F(F(0) f 2 連變換取取共共軛取共軛取共2第 2 頁(yè)，共 4連變換性質(zhì)及其對(duì)偶關(guān)1 f (t) F()ejtF() f(t)e jt 2 f(0) 1 F(F(0) f 2 連變換相對(duì)偶的連變換重要ff重要f1 (t)f2 f (at),a 1 F(afg(f (t t0 F()e f(t)ejF( 0d fjtf d F() t f(t) f(0) f (t)*f (t) 1 F()*P() ff*f *F*(F*(f (tf (t)Odfof (t) Evfef(t) f F()R() jI(R() I()* f (t)1 F

4、( k 2T k1 f(tn2 0 F()( k0k 1f(t) 2 dt F() 2 a3第 3 頁(yè)，共 4基本的離級(jí)數(shù)1 f (t) F()ejtF() f(t)e jt 2 f(0) 1 F3第 3 頁(yè)，共 4基本的離級(jí)數(shù)1 f (t) F()ejtF() f(t)e jt 2 f(0) 1 F(F(0) f 2 離級(jí)數(shù)相對(duì)偶的離級(jí)數(shù)重要周期NfNf重要4第 4 頁(yè)，共 4Z f(t)e 雙邊Z 1,s1，整個(gè)Zsk ，有限s(1z1)k，z 1(1z1)，z 1 (1z1)2 ，z 4第 4 頁(yè)，共 4Z f(t)e 雙邊Z 1,s1，整個(gè)Zsk ，有限s(1z1)k，z 1(1z1)，z 1 (1z1)2 ，z (nk1(1z1)k，z 1(1z1)，z 1 (1z1)2 ，z u( (nk1)!un1(1z1)k，z1 ,Ress1 (1az1)，z ,ResRe(a) (sa)21 (1az1)2 ，z ,ResRe(a) (sa)k1 (1az1)k ，z 1 ,Ress1 (1az1), z ,ResRe(a) (sa)k (n k1)!aun1 n!(k1)!1 (1az1)k , z s s2 01(cos 1(2cos )z1 0 s2 0(sin 1(2cos )z