1. Make a rectangular window that is a value of 1 for points 128 <= n <= 384 and 0 everywhere else. Graph the magnitude and comment on what you find. 2. Because the magnitude is on a linear scale this does not look like what you saw in the lectures. So change to a log scale by modifying Magnitude in the following way. Mag [ k]=20* log10 (Mag [ k ] / 2 5 6 ) ; Show the new graph and explain how this has changed. 3. What is the effect of making the rectangular window wider? e.g. a rectangular window that is a value of 1 for points 50 <= n <= 462 and 0 everywhere else. 4. What is the effect of making the rectangular window that is not symmetrical about the center value? 5. Multiply the rectangular window by a sin wave that covers 100 cycles in the 512 points. 1. Create a hamming window for 128 <= n <= 384 and 0 everywhere else. Graph the magnitude results and comment on what you find. 2. Multiply the hamming window by a sin wave that covers 100 cycles in the 512 points. Take the DFT of this and graph the magnitude results and comment on what you find.