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
Vin​N = 1010 V2ᴺ − 101 LSB = ?

A 10-bit ADC has an input range of 0 to 10 V. Taking 1 LSB = VFSR/2ᴺ, find the size of one LSB in mV.

N = 10VFSR = 10 V
1 LSB = mV
2.Easy
123⋮3 ch∿01N = 1020 kHz? kbit/s

A data logger samples 3 channels, each at 20 kHz with 10-bit resolution. Find the raw data rate Rb in kbit/s.

n = 3fs = 20 kHzN = 10
Rb = kbit/s
3.Medium
122 ch∿01N = 125 kHz? MB

A recorder samples 2 channels at 5 kHz each with a 12-bit ADC. Each sample is stored in whole bytes. Find the memory M needed for a 1 min recording, in MB (1 MB = 10⁶ bytes).

n = 2fs = 5 kHzN = 12t = 1 min
M = MB
4.Medium
Vin​N = ?300 mm2ᴺ − 10≤ 0.1 mm

A sensor measures distance over a span of 300 mm, and its output fills the whole input range of an ADC. The reading must resolve 0.1 mm. Find the smallest number of bits N the ADC needs.

span = 300 mmresolution = 0.1 mm
N =
5.Hard
Vin​N = ?VFSR​2ᴺ − 101 LSB

An audio measurement needs an ideal signal-to-quantisation-noise ratio of at least 65 dB for a full-scale sine wave. Find the smallest number of ADC bits N.

SQNR ≥ 65 dB
N =
6.Hard
126⋮6 ch∿01tc​ = 2 µstset​ = 1 µsfs​ = ?

A 6-channel multiplexer feeds one ADC. Each conversion takes 2 µs, and after every channel switch the input needs 1 µs to settle. The channels are scanned in turn without pause. Find the sampling rate fs of each channel, in kHz.

n = 6tc = 2 µstset = 1 µs
fs = kHz

Answer key

  1. 1. 1 LSB = 9.766 mV
  2. 2. Rb = 600 kbit/s
  3. 3. M = 1.2 MB
  4. 4. N = 12
  5. 5. N = 11
  6. 6. fs = 55.56 kHz

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