Consider the following system which consists of a differentiator (HDif (f) = j2nf ), a low-pass filter HP (f) with bandwidth of 5 KHz and an up-convertor with carrier frequency of 250 KHz. LP Sm_in (f) HDi (f) d dt Sn_dif (f) H, (f) LP Ideal LP Filter BW = 5KHz SA_LP (f) cos(27ft) X Sr_out (f) A white noise with double sided power spectral density of Sin (f)=2x10-W / Hz is applied at the input of the differentiator. Draw the power spectral density of the noise at the output of differentiator Sn_dif (f), output of lowpass filter S_LP (f) and output of up-convertor Sn_out (f). Evaluate the noise power at the output of differentiator, the lowpass filter and up-convertor.