The impulse response of an LTI system is given by h(n) = (n) (n k0).

The impulse response of an LTI system is given by h(n) = δ(n) – ¼δ(n – k0). To determine the impulse response g(n) of the inverse system, an engineer computes the determine N-point DFT H (k), N = 4k0, of h(n) and then defines g(n) as the inverse DFT of G(k) = 1/H(k) = 0, 1, 2 . N – 1. Determine g(n) and the convolution h(n)*g(n), and comment on whether the system with impulse response g(n) is the inverse of the system with impulse response h(n).