Data acquisition & sampling worksheet with answers

A UART link runs at 38400 baud. Find the duration T_b of one bit, in µs.

A sensor signal contains frequencies up to 1 kHz. Find the minimum sampling rate f_s,min that captures it without aliasing.

A UART sends bytes at 115200 baud in the format 8N2: 8 data bits, no parity and 2 stop bit(s), plus the start bit. Find the largest number of data bytes per second it can transfer.

A recorder samples 8 channels at 2 kHz each with a 10-bit ADC. Each sample is stored in whole bytes. Find the memory M needed for a 2 min recording, in MB (1 MB = 10⁶ bytes).

A microcontroller with an 8 MHz clock sets its UART baud rate as f_clk/(16·D), with D a whole number rounded to the nearest value. The target is 9600 baud. Find the percentage error of the real baud rate (positive when it is too fast).

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.