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
f0fN​ = ?12 kHz

An ADC samples at 12 kHz. Find the Nyquist frequency fN, the highest signal frequency it can represent without aliasing.

fs = 12 kHz
fN = kHz
2.Easy
f0fs​/2fs​ = ?4 kHz

A sensor signal contains frequencies up to 4 kHz. Find the minimum sampling rate fs,min that captures it without aliasing.

fmax = 4 kHz
fs,min = kHz
3.Medium
Vin​N = 16VFSR​2ᴺ − 101 LSB

Find the ideal signal-to-quantisation-noise ratio SQNR of a 16-bit ADC for a full-scale sine wave.

N = 16
SQNR = dB
4.Medium
∿01N = 145 kHz? MB

A recorder samples one channel at 5 kHz with a 14-bit ADC. Each sample is stored in whole bytes. Find the memory M needed for a 60 min recording, in MB (1 MB = 10⁶ bytes).

n = 1fs = 5 kHzN = 14t = 60 min
M = MB
5.Hard
1216⋮16 ch∿01tc​ = 2 µstset​ = 0.5 µsfs​ = ?

A 16-channel multiplexer feeds one ADC. Each conversion takes 2 µs, and after every channel switch the input needs 0.5 µs to settle. The channels are scanned in turn without pause. Find the sampling rate fs of each channel, in kHz.

n = 16tc = 2 µstset = 0.5 µs
fs = kHz
6.Hard
Vin​N = ?VFSR​2ᴺ − 101 LSB

An audio measurement needs an ideal signal-to-quantisation-noise ratio of at least 75 dB for a full-scale sine wave. Find the smallest number of ADC bits N.

SQNR ≥ 75 dB
N =

Answer key

  1. 1. fN = 6 kHz
  2. 2. fs,min = 8 kHz
  3. 3. SQNR = 98.08 dB
  4. 4. M = 36 MB
  5. 5. fs = 25 kHz
  6. 6. N = 13

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