Before sampling, a first order low-pass Butterworth filter (fe = 100 Hz) will be used as an anti-aliasing filter (N = 1). Assuming that the input range of a 12-bit ADC is +5 volts determine the actual sampling rate such that aliasing is absolutely minimized, that is, the aliasing error will be less 72 or 4LSB. Next, briefly discuss why the problem is solved for Q instead of simply Q? Repeat Problem 6 but now assume a second order Butterworth filter (N = 2) and comment on the sampling rate differences between the two filters. Before sampling, a first order low-pass Butterworth filter (fe = 100 Hz) will be used as an anti-aliasing filter (N = 1). Assuming that the input range of a 12-bit ADC is +5 volts determine the actual sampling rate such that aliasing is absolutely minimized, that is, the aliasing error will be less 72 or 4LSB. Next, briefly discuss why the problem is solved for Q instead of simply Q? Repeat Problem 6 but now assume a second order Butterworth filter (N = 2) and comment on the sampling rate differences between the two filters