Problem 2 (25 Pts) A signal with a Nyquist frequency of 500 Hz is to be filtered using a suitable multistage Butterworth filter that can allow the signal to go thru with no more than 5% reduction in amplitude at frequencies below 500 Hz and at least 90% reduction in amplitude at frequencies of 2000 Hz or above. Consider cqual source and load impedances at 100 2. Part a) 10 pts Solve for both the order of the filter and its cut-off frequency to meet the above design criteria. Part b) 10 pts Find the values of the capacitors and inductors required to construct the filter and draw the circuit diagram of the filter with all the required components. Parte) 5 pts At what frequency this signal must at least be sampled so that aliasing is avoided? Problem 2 (25 Pts) A signal with a Nyquist frequency of 500 Hz is to be filtered using a suitable multistage Butterworth filter that can allow the signal to go thru with no more than 5% reduction in amplitude at frequencies below 500 Hz and at least 90% reduction in amplitude at frequencies of 2000 Hz or above. Consider cqual source and load impedances at 100 2. Part a) 10 pts Solve for both the order of the filter and its cut-off frequency to meet the above design criteria. Part b) 10 pts Find the values of the capacitors and inductors required to construct the filter and draw the circuit diagram of the filter with all the required components. Parte) 5 pts At what frequency this signal must at least be sampled so that aliasing is avoided