Data acquisition & sampling worksheet with answers

Free printable Data acquisition & sampling worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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1.Easy

A UART link runs at 19200 baud. Find the duration T_b of one bit, in µs.

baud = 19200 Bd

T_b = µs

2.Easy

A 10-bit ADC that rounds to the nearest code has an input range of 0 to 3.3 V. With 1 LSB = V_FSR/2ᴺ, find the largest quantisation error e_q,max in mV.

N = 10V_FSR = 3.3 V

e_q,max = mV

3.Medium

Find the ideal signal-to-quantisation-noise ratio SQNR of a 24-bit ADC for a full-scale sine wave.

N = 24

SQNR = dB

4.Medium

A UART sends bytes at 57600 baud in the format 8E1: 8 data bits, an even parity bit and 1 stop bit(s), plus the start bit. Find the largest number of data bytes per second it can transfer.

baud = 57600 Bd8E1

R_B = B/s

5.Hard

A temperature sensor gives 5 mV/°C (0 V at 0 °C). Its signal is amplified 5 times and fed to a 12-bit ADC with a range of 0 to 2.5 V (1 LSB = V_FSR/2ᴺ). Find the temperature change ΔT_LSB that corresponds to one LSB.

S = 5 mV/°CG = 5N = 12V_FSR = 2.5 V

ΔT_LSB = °C

6.Hard

A 16-bit ADC streams every sample over a UART at 9600 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.

baud = 9600 BdN = 168N1

f_max = Hz

Answer key

1. T_b = 52.08 µs
2. e_q,max = 1.611 mV
3. SQNR = 146.2 dB
4. R_B = 5236 B/s
5. ΔT_LSB = 0.02441 °C
6. f_max = 240 Hz

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