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
∿01N = 245 kHz? kbit/s

A data logger samples one channel at 5 kHz with 24-bit resolution. Find the raw data rate Rb in kbit/s.

n = 1fs = 5 kHzN = 24
Rb = kbit/s
2.Easy
f0fN​ = ?100 kHz

An ADC samples at 100 kHz. Find the Nyquist frequency fN, the highest signal frequency it can represent without aliasing.

fs = 100 kHz
fN = kHz
3.Medium
tTs​ = 1/fs​f = 5.5 kHzfs​ = 10 kHz

A 5.5 kHz sine wave is sampled at 10 kHz without an anti-aliasing filter. At which frequency fa does it appear in the samples? Give it in kHz.

f = 5.5 kHzfs = 10 kHz
fa = kHz
4.Medium
Vin​N = 24VFSR​2ᴺ − 101 LSB

Find the ideal signal-to-quantisation-noise ratio SQNR of a 24-bit ADC for a full-scale sine wave.

N = 24
SQNR = dB
5.Hard
122 ch∿01tc​ = 2 µstset​ = 1 µsfs​ = ?

A 2-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 = 2tc = 2 µstset = 1 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 65 dB for a full-scale sine wave. Find the smallest number of ADC bits N.

SQNR ≥ 65 dB
N =

Answer key

  1. 1. Rb = 120 kbit/s
  2. 2. fN = 50 kHz
  3. 3. fa = 4.5 kHz
  4. 4. SQNR = 146.2 dB
  5. 5. fs = 166.7 kHz
  6. 6. N = 11

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