5) [20pts] Write a code to compute the inverse DTFT of Pew) using the formula, [n] = 2:12. Cew)elwn dw. For this purpose, use the trapz function, which computes the approximate integral of a vector (where the spacing between data points is uniform but not equal to 1) via the trapezoidal method. 1) [10pts] Create a discrete-time signal called x[n], which is defined over -5 Sn 55. The x[n] signal takes amplitudes from the digits of one of your group member's student ID. For example, if your student ID is 12345654321, then x[-5) = 1,x(-4) = 2, x(-3) = 3, ... , x[5] = 1. The plot of the x[n] signal as a function of for student 12345654321" is provided below. n the ula 6 5 4 3 2 10 -5 -4 -3 -2 0 1 2. 3 4 5 2) [20pts) The x[n] signal is applied to an LTI system with the impulse response, h[n] = x[n]. Calculate the output signal, y[n] = x[n] * h[n] using the conv function. 3) [20pts] Write a code to compute the forward DTFT of x[n] and y[n] (i.e., write a code to compute X(elw) = Enx[n]e-jw and Yelw) = En y[n]e-jwn), separately. Take the frequency in the interval, -A SWST. 4) [10pts] Use the convolution property of the DTFT to compute Yelw) = x(elw)H(elw) in -a SwSt