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 data logger samples 8 channels, each at 5 kHz with 8-bit resolution. Find the raw data rate R_b in kbit/s.

n = 8f_s = 5 kHzN = 8

R_b = kbit/s

2.Easy

A sensor signal contains frequencies up to 50 kHz. Find the minimum sampling rate f_s,min that captures it without aliasing.

f_max = 50 kHz

f_s,min = kHz

3.Medium

A 35 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 = 35 kHzf_s = 50 kHz

f_a = kHz

4.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 8.638 V.

N = 10V_FSR = 10 VV_in = 8.638 V

D =

5.Hard

A 1.5 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 = 1.5 kHzf_s = 5 kHzharmonic: 3f₁

f_a = Hz

6.Hard

An 8 kHz square wave is sampled at 20 kHz with no anti-aliasing filter. A square wave contains the odd harmonics 3f₁, 5f₁, 7f₁, … At which frequency f_a does its harmonic 7f₁ appear in the sampled data? Give it in kHz.

f₁ = 8 kHzf_s = 20 kHzharmonic: 7f₁

f_a = kHz

Answer key

1. R_b = 320 kbit/s
2. f_s,min = 100 kHz
3. f_a = 15 kHz
4. D = 884
5. f_a = 500 Hz
6. f_a = 4 kHz

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