Question

Question 5: Prove the following: a) Theorem 5.1: If then Page 3 of 8 te, 2017 SEE307 Systems and Signals Trimester 1, 2017 1Uw).su»-1 {Lh(thu-thar} = F(s)Kfs) where L(.) represents the Laplace transform. (15 marks) b) The output ) of an analog averager is given by which corresponds to the accumulation of values of x() in a segment [t-T.r]divided by its length T, or the average of x(0) in [t-T,1]. Use the convolution integral to find the response of the averager to a ramp. (10 marks)

Answer 1

dt. t, T I,J f.1. р dt rte .fl(t) flt.で)AL 07 di d rt) 12 Wednesday (5) ち(s)

Thursdav -T a ram Now inpw t-T Friday