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  3. problem 2 fourier transform of a sine wave please see...

Question: problem 2 fourier transform of a sine wave please see...

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Problem 2: Fourier Transform of a sine wave (please see the guidelines in the provided Matlab tutorial on Moodle, make sure you use the proper units and the correct captions on the axis of all your figures) Create a time t vector of N-1024 samples, starting at Os at a sampling frequency of 1000Hz What is the period T between two samples in s? What is the total duration of the vector just created in s? What is Nyquist-Shannon Frequency in Hz? Create a signal s composed of two sine waves, one at fl 70Hz and a second one at 12- 100Hz Represent on the same graph (option·hold on” in Matlab), the two sine waves and the signal resulting in the sum of the two (add a proper legend), in a temporal window from 0 to 0.4s. * .Compute the fft of this signal s. Create a vector f representing the frequencies spanned by the results of this ft. What is the resulting step between two frequency samples? What is the maximum frequency? Represent the spectrum (module of the Fourier transform) ofs as a function of the frequency f from 0Hz to Nyquist-Shannon Frequency. Interpret your result. Redo the same process, by adding to the signal s, some random Gaussian noise (matlab function randn), represent s in the time domain from 0 to 0.4s, as well as the resulting spectrum ofs from 0Hz to Nyquist-Shannon Frequency. Interpret your result Redo the same process, using a signal s composed of two sine waves (no noise), this time at a frequency fi 250Hz and 12 600Hz), represent the signal in the time domain from 0 to 0.2s Compute the spectrum of s and and represent it from 0Hz to Nyquist-Shannon Frequency result, what can you conclu
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