A pressure sensor was used to measure the unsteady pressure in a cylinder. The sensor output was acquired for 16 seconds at a rate of 256 Hz and spectral analysis was performed using FFT. a)What is the frequency range that can be displayed on the power spectrum plot? F minimum = Hz (integer) F maximum = Hz (integer) b) What is the frequency resolution (in the power spectrum plot), if the data is not divided into segments? F resolution = Hz (Four decimal places.) c)Is truncation needed for this set? d)Is zero padding needed for this set? e)Do you recommend data windowing? Why? f) If the data set was split into 5 segments (each 3.2 seconds long), what is the resulting: Frequency range: (integers) F minimum = Hz F maximum = Hz Frequency resolution = Hz (4 decimal places) If the variance of the original (i. e.,unsegmented) data is P2xx, what is variance after dividing the data in segments? P2xx/ (integer) g) If the above data segments overlap (in the time domain) by 50% of their length, this results in 9 (3.2 second long each) segments instead of 5. What is the resulting: Frequency range: (integers) F minimum = Hz F maximum = Hz Frequency resolution = Hz (4 decimal places) If the variance of the original (i. e.,unsegmented) data is P2xx, what is variance after dividing the data in segments? P2xx/ (integer) h) A signal was acquired at 200 Hz and the spectrum showed a peak at 80 Hz. No anti-aliasing filter was used. Use the folding diagram to find the lowest 5 possible frequencies that the original signal may have. (Hint: Read lecture example) Frequencies: (integers) f1 = Hz f2 = Hz f3 = Hz f4 = Hz f5 = Hz