复数运算 s=G+jo=re Addition/,subtraction::S,±S2=(o,±o2)+j(o,±o2) 加/减 Multiplication: 乘 52=rH5e9+8) Division: S=上e8-%) 除 S23 (G≠0) nth roots: j( 0+2k江) n次方根 (k=0,±1，+2，…） School of Mechanical Engineering ME369-lecture 3.0 Shanghal Jiao Tong University Fall 2015 复函数 F(s)=U(s)+jV(s)=U(o,@)+jv(o,@) F(s) Magnitude模 F(s=2+ Phase相角 ∠F(s）=arctan U Complex conjugate 共轭复数 F(s)=U-jV School of Mechanical Engineering ME369-lecture 3.0 Shanghai Jiao Tong University Fall 2015 33 BE315-Lecture 3.0 Fall 2011 ME369-lecture 3.0 Fall 2015 School of Mechanical Engineering Shanghai Jiao Tong University 复数运算 1 2 1 2 1 2 s s j      ( ) ( )     1 2 1 ( ) 1 2 2 j s s e r r    1 2 2 1 ) 2 s 1 j( e s r r    2 ( 0) r  ( 2 j ) k n n n s er     ( 0, 1, 2, ) k    Addition/subtraction: 加/减 Multiplication: 乘 Division: 除 nth roots: n次方根 j s j re       BE315-Lecture 3.0 Fall 2011 ME369-lecture 3.0 Fall 2015 School of Mechanical Engineering Shanghai Jiao Tong University F s U s jV s U jV ( ) ( ) ( ) ( , ) ( , )           2 2 F s U V     arctan U F s V   F s U jV ( )   复函数 Magnitude 模 Phase 相角 Complex conjugate 共轭复数