1. When no analog filter is used at the input, why does an input of 1032 and 4960 Hz produce an output frequency of nearly 50 Hz? Keep in mind that the sampling frequency of the filter is 982 Hz. Justify your answer using the necessary formula.
2. What are some of the uses of ADC undersampling (i.e., sampling at a rate lower than Nyquist rate)? Research this topic using the Internet, but state the answer in your own words.
3. Suppose we had connected at the input to channel 0 a circuit of the type that attenuates all frequencies above 50 Hz at a rate of 6 dB/octave. What will we then see in the output when we apply 4960 Hz at the input?