A causal system produces the output sequence y(n)={1,0.7} when excited by the input sequence x(n)={1,-0.7,0.1}, then what is the impulse response of the system function?
A. [3(0.5)n+4(0.2)n]u(n)
B. [4(0.5)n-3(0.2)n]u(n)
C. [4(0.5)n+3(0.2)n]u(n)
D. None of the mentioned
Answer:A
A causal system produces the output sequence y(n)={1,0.7} when excited by the input sequence x(n)={1,-0.7,0.1}, then what is the impulse response of the system function?
A. [3(0.5)n+4(0.2)n]u(n) B. [4(0.5)n-3(0.2)n]u(n) C. [4(0.5)n+3(0.2)n]u(n) D. None of the mentioned
Explanation: The system function is easily determined by taking the z-transforms of x(n) and y(n). Thus we have