5. Spectrum Analysis Parameters. You are tasked to analyze a communication signal that has frequencies around 10 MHz. a) At what frequency should you sample the signal if you want

to have a sampling rate that is 5 times the Nyquist rate? b) If you have 0.1 seconds of recorded data and you double the length to 0.2 seconds using zero padding,what will be the absolute frequency resolution for the DFT (FFT)? Use the sampling rate from part (a). c) What will be the practical frequency resolution if you use a rectangular window on the 0.1 seconds ofdata? d) What will be the practical frequency resolution if you use a Hann window on the 0.1 seconds of data? e) Describe in your own words the trade off between using a rectangular window versus a Hann window?What is the advantage of a rectangular window, what is the advantage of the Hann window in doing spectrum analysis? f) How much recorded data would you need to obtain a practical frequency resolution of 1 Hz and what window would provide the best resolution?