If the Eigen function of an LTI system is x(n)= Aejnπ and the impulse response of the system is h(n)=(1/2)nu(n), then what is the Eigen value of the system?
A. 3/2
B. -3/2
C. -2/3
D. 2/3
Answer:A
If the Eigen function of an LTI system is x(n)= Aejnπ and the impulse response of the system is h(n)=(1/2)nu(n), then what is the Eigen value of the system?
A. 3/2 B. -3/2 C. -2/3 D. 2/3
Explanation: First we evaluate the Fourier transform of the impulse response of the system h(n)