Answer Happy

9.5. For each of the following algebraic expressions for the Laplace transform of a signal, determine the number of zeros located in the finite s-plane and the number of zeros located at infinity: 1 1 (a) + s+1 s +3 s + 1 (b) 52 1 (c) s³ - 1 s² + s +1 9.6. An absolutely integrable signal x(t) is known to have a pole at s = 2. Answer the following questions: (a) Could x(t) be of finite duration? (b) Could x(t) be left sided? (c) Could x(t) be right sided? (d) Could x(t) be two sided? 9.28. Consider an LTI system for which the system function H(s) has the pole-zero pattern shown in Figure P9.28. Ima -X- O -X -1 -2 +1 +2 Re Figure P9.28 (a) Indicate all possible ROCs that can be associated with this pole-zero pattern. (b) For each ROC identified in part (a), specify whether the associated system is stable and/or causal.