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?
A. 13.56cos(πn/4 -28.7o)
B. 13.56cos(πn/4 +28.7o)u(n)
C. 13.56cos(πn/4 -28.7o)u(n)
D. None of the mentioned
Answer:A
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?
A. 13.56cos(πn/4 -28.7o) B. 13.56cos(πn/4 +28.7o)u(n) C. 13.56cos(πn/4 -28.7o)u(n) D. None of the mentioned
Explanation: The system function for the system is