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 57600 baud. Find the duration T_b of one bit, in µs.

baud = 57600 Bd

T_b = µs

2.Easy

A sensor signal contains frequencies up to 20 kHz. Find the minimum sampling rate f_s,min that captures it without aliasing.

f_max = 20 kHz

f_s,min = kHz

3.Medium

A 10 kHz sine wave is sampled at 8 kHz without an anti-aliasing filter. At which frequency f_a does it appear in the samples? Give it in Hz.

f = 10 kHzf_s = 8 kHz

f_a = Hz

4.Medium

A 12-bit ADC with an input range of 0 to 10 V truncates: its output code is ⌊V_in/LSB⌋ with 1 LSB = V_FSR/2ᴺ. Find the decimal output code D for an input of 5.816 V.

N = 12V_FSR = 10 VV_in = 5.816 V

D =

5.Hard

A 2-channel multiplexer feeds one ADC. Each conversion takes 5 µs, and after every channel switch the input needs 2.5 µs to settle. The channels are scanned in turn without pause. Find the sampling rate f_s of each channel, in kHz.

n = 2t_c = 5 µst_set = 2.5 µs

f_s = kHz

6.Hard

A temperature sensor gives 5 mV/°C (0 V at 0 °C). Its signal is amplified 2.5 times and fed to a 10-bit ADC with a range of 0 to 3.3 V (1 LSB = V_FSR/2ᴺ). Find the temperature change ΔT_LSB that corresponds to one LSB.

S = 5 mV/°CG = 2.5N = 10V_FSR = 3.3 V

ΔT_LSB = °C

Answer key

1. T_b = 17.36 µs
2. f_s,min = 40 kHz
3. f_a = 2000 Hz
4. D = 2382
5. f_s = 66.67 kHz
6. ΔT_LSB = 0.2578 °C

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