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 16-bit ADC has an input range of 0 to 2.5 V. Taking 1 LSB = V_FSR/2ᴺ, find the size of one LSB in mV.

N = 16V_FSR = 2.5 V

1 LSB = mV

3.Medium

A 45 kHz sine wave is sampled at 50 kHz without an anti-aliasing filter. At which frequency f_a does it appear in the samples? Give it in kHz.

f = 45 kHzf_s = 50 kHz

f_a = kHz

4.Medium

A 1.3 kHz sine wave is sampled at 1 kHz without an anti-aliasing filter. At which frequency f_a does it appear in the samples? Give it in Hz.

f = 1.3 kHzf_s = 1 kHz

f_a = Hz

5.Hard

A temperature sensor gives 10 mV/°C (0 V at 0 °C). Its signal is amplified 20 times and fed to a 10-bit ADC with a range of 0 to 10 V (1 LSB = V_FSR/2ᴺ). Find the temperature change ΔT_LSB that corresponds to one LSB.

S = 10 mV/°CG = 20N = 10V_FSR = 10 V

ΔT_LSB = °C

6.Hard

A 24-bit ADC streams every sample over a UART at 38400 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.

baud = 38400 BdN = 248N1

f_max = Hz

Answer key

1. T_b = 52.08 µs
2. 1 LSB = 0.03815 mV
3. f_a = 5 kHz
4. f_a = 300 Hz
5. ΔT_LSB = 0.04883 °C
6. f_max = 640 Hz

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