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 sensor signal contains frequencies up to 25 kHz. Find the minimum sampling rate f_s,min that captures it without aliasing.

f_max = 25 kHz

f_s,min = kHz

2.Easy

A sensor signal contains frequencies up to 0.5 kHz. Find the minimum sampling rate f_s,min that captures it without aliasing.

f_max = 0.5 kHz

f_s,min = kHz

3.Medium

A 10-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 8.538 V.

N = 10V_FSR = 10 VV_in = 8.538 V

D =

4.Medium

An ADC with an input range of 0 to 5 V must resolve steps of 10 mV or smaller. Find the smallest number of bits N.

V_FSR = 5 Vresolution = 10 mV

N =

5.Hard

A 1.4 kHz square wave is sampled at 5 kHz with no anti-aliasing filter. A square wave contains the odd harmonics 3f₁, 5f₁, 7f₁, … At which frequency f_a does its harmonic 3f₁ appear in the sampled data? Give it in Hz.

f₁ = 1.4 kHzf_s = 5 kHzharmonic: 3f₁

f_a = Hz

6.Hard

A 2-channel multiplexer feeds one ADC. Each conversion takes 2 µs, and after every channel switch the input needs 2 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 = 2 µst_set = 2 µs

f_s = kHz

Answer key

1. f_s,min = 50 kHz
2. f_s,min = 1 kHz
3. D = 874
4. N = 9
5. f_a = 800 Hz
6. f_s = 125 kHz

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