1.

Is the system with impulse response h(n)=2^nu(n-1) stable.(a) True(b) FalseThis question was addressed to me during an interview.The above asked question is from Analysis of Discrete time LTI Systems in section Discrete Time Signals and Systems of Digital Signal Processing

Answer»

Right choice is (b) False

To explain: Let S=\(\sum_{N=-{\INFTY}}^{\infty}|H(n)|\)

=\(\sum_{n=-{\infty}}^{\infty}2^n u(n-1)\)

=\(\sum_{n=-{\infty}}^{\infty}2^n\)

=2+4+8+…=∞

So, the system is not STABLE.



Discussion

No Comment Found

Related InterviewSolutions