1) a) A signal with a frequency of 12 kHz is being recorded using a data acquisition system that has a sampling rate of 5000 Hz. What is the alias frequency that will appear in the measured data?

b) A signal is expected to have a maximum frequency of 120 Hz. The data acquisition system is only capable of measuring the frequency in multiples of 50 Hz (50, 100, 150, etc.). What is the smallest rate that can be used that will prevent signal aliasing?

c) While sampling a signal at 1000 Hz, you see an unexpected frequency at 250 Hz and suspect this is due to aliasing of a higher frequency signal. What are two frequencies higher than 1000 Hz that could give you an alias frequency of 250Hz?