..:: Z transform and its Application on Digital Signal Processing related Questions and Answers

Z transform and its Application on Digital Signal Processing related Questions and Answers

Question : What is the steady-state 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(πn/4)u(n) and the system is initially at rest?
1. 13.56cos(πn/4 -28.7^o)
2. 13.56cos(πn/4 +28.7^o)u(n)
3. 13.56cos(πn/4 -28.7^o)u(n)
4. None of the mentioned
Answer : 3 - 13.56cos(πn/4 -28.7^o)u(n)