Hint: To compute the impulse response, make an input vector for filter ) consisting of one unil sample followed by 50 zero samples 2. [4 Points] MATLAB Exercise: In lecture 9, we have shown that the inverse DTFT of is given by In this exercise, we would like to reconstruct X (eng from x[n], using the DTFT formula: By the DTIT definition, we have N 00, However, this is nol practical. You are asked lo plol the reconstructed DTFT signal X, (ej") for different values of N = { 1,3,7, 15,50,70) using equation (3), and compare 11 against Lhe original signal X(ej") You may assume .-. For every value of N, plol x,(eM) in (3) overlapped with X(eju) in (1). The output comparison figure at N=1 may look like the figure belovw Hint: You may look for "Gibbs Phenomenon" to understand more the impact of finite summation