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
f0fs​/2fs​ = ?5 kHz

A sensor signal contains frequencies up to 5 kHz. Find the minimum sampling rate fs,min that captures it without aliasing.

fmax = 5 kHz
fs,min = kHz
2.Easy
Vin​N = 161 V2ᴺ − 101 LSB = ?

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

N = 16VFSR = 1 V
1 LSB = mV
3.Medium
Vin​N = 85 V2ᴺ − 101 LSB1.843 V?

An 8-bit ADC with an input range of 0 to 5 V truncates: its output code is ⌊Vin/LSB⌋ with 1 LSB = VFSR/2ᴺ. Find the decimal output code D for an input of 1.843 V.

N = 8VFSR = 5 VVin = 1.843 V
D =
4.Medium
Vin​N = ?1000 mm2ᴺ − 10≤ 0.5 mm

A sensor measures distance over a span of 1000 mm, and its output fills the whole input range of an ADC. The reading must resolve 0.5 mm. Find the smallest number of bits N the ADC needs.

span = 1000 mmresolution = 0.5 mm
N =
5.Hard
128⋮8 ch∿01tc​ = 4 µstset​ = 5 µsfs​ = ?

An 8-channel multiplexer feeds one ADC. Each conversion takes 4 µs, and after every channel switch the input needs 5 µs to settle. The channels are scanned in turn without pause. Find the sampling rate fs of each channel, in kHz.

n = 8tc = 4 µstset = 5 µs
fs = kHz
6.Hard
128⋮8 ch∿01tc​ = 1 µstset​ = 5 µsfs​ = ?

An 8-channel multiplexer feeds one ADC. Each conversion takes 1 µs, and after every channel switch the input needs 5 µs to settle. The channels are scanned in turn without pause. Find the sampling rate fs of each channel, in kHz.

n = 8tc = 1 µstset = 5 µs
fs = kHz

Answer key

  1. 1. fs,min = 10 kHz
  2. 2. 1 LSB = 0.01526 mV
  3. 3. D = 94
  4. 4. N = 11
  5. 5. fs = 13.89 kHz
  6. 6. fs = 20.83 kHz

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