ENGG 2400 Lecture Notes - Lecture 5: Impulse Response, Step Response

• School: University of Guelph
• Department: Engineering
• Course: ENGG 2400
• Professor: Julie Vale

Document Summary

Responses part 2: important forcing functions ( , u, forced vs free vs complete response, k and (a and b) Where x = input and y = output: (cid:1877) +(cid:1877) (cid:1876) or (cid:1877) +(cid:1853)(cid:1877)=(cid:1854)(cid:1876) Through relationships can find that a = 1/ and b = k/ . Is a unit step, u(t) = {0 t < 0 , 1 t 0} Is an impulse: the derivative of a step is an impulse. Output when input is u(t) and y(0) = 0. Output when input is (t) and y(0) = 0. Complete response equation: (cid:3029)(cid:3028)(cid:1876)(cid:4666)(cid:883) (cid:3028)(cid:3047)(cid:4667) is the forced response, x is the input, (cid:3028)(cid:3047) (cid:1877)(cid:4666)(cid:882)(cid:4667) is the free response, y(0) is the initial condition.