problem 2 (25 pts) design a low pass butterworth filter to remove high frequency noise from a signal with a nyquist frequency of 1000 hz meeting the following design requirements: 1. the dynamic error to be less than 0.01 at 500 hz or lower frequencies and 2. the attenuation at 4.5 khz or higher frequencies to be at least 25 db the filter cutolt frequency is to be 1500 hz. take the source and load impedances as 50 n. part a) 10 pts find the order of the butterworth filter required lo mcet the above design criteria. part b) 10 pts find the values of the capacitors and inductors required to construct the filter and draw a circuit dingram of the filter. part c) 5 pts at what lowest frequency this signal must be sampled so that signal aliasing is avoided