The impulse response of an LTI system is given by To determine the impulse response g(n...

The impulse response of an LTI system is given by To determine the impulse response g(n) of the inverse system, an engineer computes the N -point DFT H(k), of h(n) and then defines g(n) as the inverse DFT of G (k) = 1/H(k) , 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).