2 Linear Time-Invariant Systems 2.2.2 The Continuous-time Unit impulse response and the convolution Integral Representation of Lti Systems (1)Unit Impulse Response X(t=o(t y(t=h(t) LTI 2)The Convolution of LtI System LTI
2 Linear Time-Invariant Systems 2.2.2 The Continuous-time Unit impulse Response and the convolution Integral Representation of LTI Systems (1) Unit Impulse Response LTI x(t)=(t) y(t)=h(t) (2) The Convolution of LTI System LTI x(t) y(t)=?
2 Linear Time-Invariant Systems A δ(t) LTI Because of (t)= x(r)8(t-rdr So, we can get x(th(t-rdr Convolution Integral or y(t=x(t*h(t
2 Linear Time-Invariant Systems A. LTI (t) h(t) x(t) y(t)=? + − x(t) = x( ) (t − )d Because of + − y(t) = x( )h(t − )d So,we can get ( Convolution Integral ) or y(t) = x(t) * h(t)