What is the unit sample response of the system described by the difference equation y(n)=0.5y(n-1)+2x(n)?
A. 0.5(2)nu(n)
B. 2(0.5)nu(n)
C. 0.5(2)nu(-n)
D. 2(0.5)nu(-n)
Answer:A
What is the unit sample response of the system described by the difference equation y(n)=0.5y(n-1)+2x(n)?
A. 0.5(2)nu(n) B. 2(0.5)nu(n) C. 0.5(2)nu(-n) D. 2(0.5)nu(-n)
Explanation: By applying the z-transform on both sides of the difference equation given in the question we obtain,