Solved ELCT 222 Signals and Systems Computer Assignment 2

1. Consider the system below for two cases (i) 𝑅𝑅𝑅𝑅 = 0.1 and (ii) 𝑅𝑅𝑅𝑅 = 1. For both cases a. (25 pts) Calculate the output signal analytically b. (25 pts) Plot the output and input signals on the same figure for each case and compare the cases in terms of response time. Which one is following the input signal? Why? 2. For 𝑥𝑥(𝑡𝑡) and ℎ(𝑡𝑡) given below: a. (10 pts) Determine 𝑦𝑦(𝑡𝑡) = 𝑥𝑥(𝑡𝑡) ∗ ℎ(𝑡𝑡) for arbitrary 𝐴𝐴, 𝐵𝐵, 𝑇𝑇1, and 𝑇𝑇2 b. (40 pts) Develop a MATLAB routine to plot 𝑦𝑦(𝑡𝑡) = 𝑥𝑥(𝑡𝑡) ∗ ℎ(𝑡𝑡) for the cases below: i. 𝐴𝐴 = 1, 𝐵𝐵 = 1, 𝑇𝑇1 = 1, and 𝑇𝑇2 = 1 ii. 𝐴𝐴 = 1, 𝐵𝐵 = 1, 𝑇𝑇1 = 2, and 𝑇𝑇2 = 2 iii. 𝐴𝐴 = −1, 𝐵𝐵 = −1, 𝑇𝑇1 = 1, and 𝑇𝑇2 = 2 iv. 𝐴𝐴 = 1, 𝐵𝐵 = −1, 𝑇𝑇1 = 2, and 𝑇𝑇2 = 1