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).
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