1. Let us suppose that you have an analog signal that needs conversion to digital. The maximum frequency component in the signal is 2 kHz.
a. At what minimum rate should you sample the signal (i.e., at least how many samples per second do you need)?
b. If you are quantizing the signal into 16 levels, how many bits do you need per sample?
c. What is the data rate of the digital signal after quantization with 16 levels? What is the data rate after quantization with 32 levels?