1. We want to measure a sinusoidal signal (frequency 100 Hz) expected to be of strength 1 mV RMS in the presence of noise of peak amplitude 3 mV.
(a) If our A/D converter has a range of +10 volts to -10 volts, what amplifier gain should be used to process the signal before the A/D conversion in order to get best resolution without overloading the converter?
(b) If the A/D converter can take 1000 samples per second, what are the characteristics of the filter we should use with the above amplifier to avoid aliasing? (What kind of filter? Concer frequency around what value?)