Analysis of LTI System in Z Domain Multiple Choice Questions
Analysis of LTI System in Z Domain 1. If one or more poles are located near the unit circle, then the rate of decay of signal is _________ a) Slow b) Constant c) Rapid d) None of the mentioned Answer: Slow 2. If p k , k=1,2,…N are the poles of the system and |p k | < 1 for all k, then the natural response of such a system is called as Transient response. a) True b) False Answer: True 3. If all the poles of H(z) are outside the unit circle, then the system is said to be ________ a) Only causal b) Only BIBO stable c) BIBO stable and causal d) None of the mentioned Answer: None of the mentioned 4. If all the poles have small magnitudes, then the rate of decay of signal is __________ a) Slow b) Constant c) Rapid d) None of the mentioned Answer: Rapid 5. What is the transient response of the system described by the difference equation y(n)=0.5y(n-1)+x(n) when the input signal is x(n)= 10cos(Ï€n/4)u(n) and the system is initially at rest? a) (0.5) n u(n) b) 0.5(6.3) n u(n) c) 6.3(0.5) n