Data acquisition & sampling worksheet with answers

A UART link runs at 4800 baud. Find the duration T_b of one bit, in µs.

A UART link runs at 57600 baud. Find the duration T_b of one bit, in µs.

A 2.4 kHz sine wave is sampled at 4 kHz without an anti-aliasing filter. At which frequency f_a does it appear in the samples? Give it in Hz.

A UART sends bytes at 38400 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 microcontroller with a 12 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 4800 baud. Find the percentage error of the real baud rate (positive when it is too fast).

A 12-bit ADC streams every sample over a UART at 230400 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.