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A recording trace r(t) is definedas r(t) = s(t) + n(t), where s(t) =10sin(20t) (i.e., a 10 Hz sine wave, given f= 2f) is the signal and n(t) = sin(120t) (i.e., the 60 Hz electromagnetic noise) the noise.

(a) Is r(t) periodic? If so, what are the fundamental frequency in Hz and fundamental period in second? Sketch r(t) in one period.

(b) Calculate the average power of r(t). Is the energy of r(t) finite?

(c) Calculate the signal-to-noise ratio (SNR) of the recording r(t), write it in decibels (dB).

(d) Write the harmonics of the 60 Hz electromagnetic noisein the general form k (t);

what are the 2nd- and 3rd-order harmonics?

Electrical & Electronics, Engineering

  • Category:- Electrical & Electronics
  • Reference No.:- M9699687

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