Problem: Say you are given a DT LTI system f, where input x[n] yields output $ y[n] = f(x[n]) = 2x[n+1] + x[n-1] $.
a) Obtain the unit impulse response h[n] and the system function H(z) of f.
b) Compute the response of f to the signal x[n] found here by using H(z) and the Fourier series coefficients of x[n].
Solution:
