A linear time invariant system is characterized by the system function H(z)=1/(1-0.5z-1 )+2/(1-3z-1 ).What is the h(n) if the system is anti causal?
A. (0.5)nu(n)+2(3)nu(n)
B. (0.5)nu(-n-1)-2(3)nu(-n-1)
C. -[(0.5)n+2(3)n]u(-n-1)
D. (0.5)nu(n)-2(3)nu(-n-1)
Answer:A
A linear time invariant system is characterized by the system function H(z)=1/(1-0.5z-1 )+2/(1-3z-1 ).What is the h(n) if the system is anti causal?
A. (0.5)nu(n)+2(3)nu(n) B. (0.5)nu(-n-1)-2(3)nu(-n-1) C. -[(0.5)n+2(3)n]u(-n-1) D. (0.5)nu(n)-2(3)nu(-n-1)
Explanation: The system has poles at z=0.5 and at z=3.