若:y()=x(1)*h() 则:x(t-1)*h(-12)=y(t-1-12) 证:x(t-1)*h(t-12)=[x(1)*O(t-1)*[H(*6(t-t2) [x()*h()*{6(t-1)*(t-12结合率 =y(t)*[O(t-t1)*(t-t2) (-1-12) x()*(t)=x(t); 微分器 x(1)*(1) x(TaT 积分器 x()*(1)=x(1)*6()dr=x()dx*O()=x()dr 一0 恰当地利用卷积的性质可以简化卷积的计算:− − − =  =  = t t t x(t)*u(t) x(t)  ( )d x( )d  (t) x( )d : ( ) ( ) ( ) : ( ) ( ) ( ) 1 2 1 2 若 y t = x t h t 则 x t −t h t −t = y t −t −t ( ) ( )*[ ( )* ( )] [ ( )* ( )]*[ ( )* ( )]; : ( ) ( ) [ ( ) ( )] [ ( ) ( )] 1 2 1 2 1 2 1 2 1 2 y t t t y t t t t t x t h t t t t t x t t h t t x t t t h t t t = − − = − − = − − −  − =  −   −       结合率 证 x(t)*(t) = x (t); 微分器 ( )* ( )  ( ) ; 积分器 − = t x t u t x  d 恰当地利用卷积的性质可以简化卷积的计算：