Reference no: EM13228637
Consider the following continuous-time signal
xa(t) = xa1(t) + xa2(t) + xa3(t),
where,
xa1(t) = 16sin4(2f1t /3) + 2cos(2f4t),
xa2(t) = 6cos(2f2t)sin(2f3t + 4),
xa3(t) = 12cos(2f5t)cos(2f6t),
f1 = 25 Hz, f2 = 200 Hz, f3 = 800 Hz, f4 = 1500 Hz, f5 = 400 Hz, and f6 = 800 Hz.
It is required to design a digital signal processing-based system to separated the signals xa1(t) and xa2(t) from the signal xa(t). Assume that the attenuation in the passband p = 1 dB and s = 60 dB in the stopbands. The filters used must not introduced any phase errors in the passbands.
(a) Determine the minimum required sampling rate fsamp(min). Hence, use twice this value.
(b) Draw a block diagram of the system indicating the requirements of each block.
(c) Design and write the difference equations of the digital filters needed.
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