Problem 3.4 (10 points). If you zoom into the spectral peaks at wi and w. you will notice that the peaks do not occur exactly at w and as they are in the case of infinitely-long sinusoids. This phenomenon is due to the finite-duration of the sinusoids, which causes the spectral peaks to broaden and interact with each other, shifting them slightly relative to one another. For the particular choices of L, w 2 of Problem 3.3. determine the actual location of the spectral peaks 5 points) using the built-in MATLAB function, fminbnd. To do so, define a function handle for the negative magnitude of (9) and pass it into fminbnd, searching first near the true frequency w, and then near wYou should obtain the following peak frequencies, to be compared with wi = 0.2, w2 = 0.4 π. wn, peak=0.1950, w2. peak=0.4030m The same biasing effect occurs also in the single-sinusoid case and gets more pronounced whenwo is near 0 or near π·This is so because the peaks at are now closer and interact more with each other. Using the parameters from Problem 3.2 and fminbnd, verify (5 points) that the actual peak maximum of the inite-length signal is at, uo, peak = 0-1983r as compared to wo 0.2 π.