Discussed the Rayleigh frequency resolution limit for the case of rectangular time window. The explicit equation was given to estimate the Rayleigh limit theoretically.

Propose a method that would allow estimation of the Rayleigh limit experimentally. By using Matlab implementation of your method, prove (or disprove) that the theoretically derived equation is correct for a rectangular window. Repeat similar experiments for another time window (say, for Kaiser or Hamming window) to obtain Rayleigh limit of frequency resolution for it. Are your observations consistent with what was said in class? Hint: in your method, please, note that the formula is valid "about half of the time".