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Using MATLAB,

(a) Generate a pseudo-random sequence of 256 data points in a vector x, using the randn function which is built in to MATLAB. (b) Find the DFT of that sequence of data and put it in a vector X. (c) Set a vector Xlpf equal to X. (d) Change all the values in Xlpf to zero except the first 8 points and the last 8 points. (e) Take the real part of the inverse DFT of Xlpf and put it in a vector xlpf. (f) Generate a set of 256 sample times t which begin with 0 and are uniformly separated by 1. (g) Graph x and xlpf versus t on the same scale and compare. What kind of effect does this operation have on a set of data? Why is the output array called xlpf?

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