Impulse Response of an LTI System **new** 2004/07/14 14:28:22.924 GMT-5 2004/07/14 14:29:01.775 GMT-5 Richard G. Baraniuk richb@rice.edu Richard G. Baraniuk richb@rice.edu Jeffrey Silverman jsilv@rice.edu An introduction to the impulse response of an LTI system. . We will see: Output of an LTI system ("at rest") is completely determined by the input and the response to an impulse. Impulse response: and .

δ t is the impulse input and h t is the impulse response.

This "shocks" the system suddenly. This is the response to the shock.

Practical "impulses" hammer blow to a structure hand clap or gun blast in a room air gun blast under water

How to Obtain the Impulse Response? Theory Solve DE for y t with f t δ t (see Lathi section 2.8 if interested). Use Laplace transforms (to come) (ELEC 301). Practice Apply an impulse-line input signal to the system and measure the output. Fourier methods (to come).

For Now Until Fourier Analysis of LSI Systems we will assume that h t is given. This means that the goal is now to compute output y t given h t and input f t ().

h is the impulse response.