Data acquisition & sampling worksheet with answers

An ADC samples at 44.1 kHz. Find the Nyquist frequency f_N, the highest signal frequency it can represent without aliasing.

A data logger samples 4 channels, each at 5 kHz with 24-bit resolution. Find the raw data rate R_b in kbit/s.

A recorder samples 4 channels at 1 kHz each with a 24-bit ADC. Each sample is stored in whole bytes. Find the memory M needed for a 5 min recording, in MB (1 MB = 10⁶ bytes).

A sensor measures distance over a span of 300 mm, and its output fills the whole input range of an ADC. The reading must resolve 0.2 mm. Find the smallest number of bits N the ADC needs.

A 24-bit ADC streams every sample over a UART at 19200 baud, format 8N1 (start bit, 8 data bits, 1 stop bit). Each sample is sent as 3 whole byte(s) and the link is busy all the time. Find the highest signal frequency f_max that can be sampled without aliasing, in Hz.

A 12-bit ADC streams every sample over a UART at 57600 baud, format 8N1 (start bit, 8 data bits, 1 stop bit). Each sample is sent as 2 whole byte(s) and the link is busy all the time. Find the highest signal frequency f_max that can be sampled without aliasing, in Hz.