Chapter 2 LTI SyStems m()=x(G+hm()=xm()+h( 特殊地n=1m=1 y(=x()*h(O)=x0()n( Example 1,0≤t≤2 0<t<1 0, otherwise 0, otherwise Consider the convolution of the two signals x(t, h() 16
16 Chapter 2 LTI Systems ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) y t x t h t x t h (t) n m n m m n = = + 特殊地 n=1 m=-1 ( ) ( ) ( ) ( ) ( ) ( ) ( ) 1 1 y t x t h t x t h t − − = = Example x(t) = 1, 0 t 2 0, otherwise h(t) = 1, 0 t 1 0, otherwise Consider the convolution of the two signals x(t)，h(t)
Chapter 2 LTI SyStems Example Consider the convolution of the two signals x(t, h() x()=h() 17
17 Example Consider the convolution of the two signals x(t)，h(t) −1 0 1 1 −1 x(t) = h(t) t Chapter 2 LTI Systems
Chapter 2 LTI SyStems 6几种典型系统 x ④恒等系统()=l( h() D ②微分器M()=( 通积分器M()= ④延迟器()=6(t-) 累加器= ∑x k=-00 18
18 Chapter 2 LTI Systems 6 几种典型系统 ① 恒等系统 h(t) = (t) ② 微分器 h(t)=(t) ③ 积分器 h(t)= u(t) ④ 延迟器 ( ) ( ) 0 h t = t − t ⑤ 累加器 hn= un x(t) h(t) x(t) x (t) h(t) x(t) ( ) x (t) −1 h(t) x(t) ( ) 0 x t −t h(t) x(t) hn xk n k =− xn