Question 52: [Basic] Consider an LTI system with impulse response h(t) = 3-tU(t). What is the output y(t) when the input is e(t) = ej(3+)? What is the amplitude [y(t)|? What is the phase Zy(t)? Question 53: [Basic] Continue from the above question. 1. Consider the input being c(t) = ejwt. Find out the expression of the corresponding output y(t). What is the amplitude ly(t)|? what is the phase Zy(t)? 2. Note that your answer y(t) is a function with respect to w. Plot the \y(t) versus w in MATLAB for the range w = -5 to 5. What is the meaning of this plot? Question 54: [Basic] Continue from the above questions. Suppose now the input is r(t) = e-jt + 2e2jt + 3ej2vt. What is the output y(t)? (Hint: Use the linearity of the system.)