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
126⋮6 ch∿01N = 241 kHz? kbit/s

A data logger samples 6 channels, each at 1 kHz with 24-bit resolution. Find the raw data rate Rb in kbit/s.

n = 6fs = 1 kHzN = 24
Rb = kbit/s
2.Easy
Vin​N = 1210 V2ᴺ − 101 LSB = ?

A 12-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 = 12VFSR = 10 V
1 LSB = mV
3.Medium
Vin​N = 20VFSR​2ᴺ − 101 LSB

Find the ideal signal-to-quantisation-noise ratio SQNR of a 20-bit ADC for a full-scale sine wave.

N = 20
SQNR = dB
4.Medium
tTs​ = 1/fs​f = 1.6 kHzfs​ = 2 kHz

A 1.6 kHz sine wave is sampled at 2 kHz without an anti-aliasing filter. At which frequency fa does it appear in the samples? Give it in Hz.

f = 1.6 kHzfs = 2 kHz
fa = Hz
5.Hard
122 ch∿01tc​ = 10 µstset​ = 2 µsfs​ = ?

A 2-channel multiplexer feeds one ADC. Each conversion takes 10 µs, and after every channel switch the input needs 2 µs to settle. The channels are scanned in turn without pause. Find the sampling rate fs of each channel, in kHz.

n = 2tc = 10 µstset = 2 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 90 dB for a full-scale sine wave. Find the smallest number of ADC bits N.

SQNR ≥ 90 dB
N =

Answer key

  1. 1. Rb = 144 kbit/s
  2. 2. 1 LSB = 2.441 mV
  3. 3. SQNR = 122.2 dB
  4. 4. fa = 400 Hz
  5. 5. fs = 41.67 kHz
  6. 6. N = 15

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