Question: 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)
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![x[n] and y[n] (i.e., write a code to compute X(elw) = Enx[n]e-jw](https://dsd5zvtm8ll6.cloudfront.net/si.experts.images/questions/2024/09/66f39c137fb21_23566f39c131f85b.jpg)
![and Yelw) = En y[n]e-jwn), separately. Take the frequency in the interval,](https://dsd5zvtm8ll6.cloudfront.net/si.experts.images/questions/2024/09/66f39c1413096_23566f39c13b5c3b.jpg)
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. 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
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