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

Question :   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? 1. (0.5)nu(n)+2(3)nu(n) 2. (0.5)nu(-n-1)-2(3)nu(-n-1) 3. -[(0.5)n+2(3)n]u(-n-1) 4. (0.5)nu(n)-2(3)nu(-n-1) Answer :   3 - -[(0.5)n+2(3)n]u(-n-1)