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 = 82.5 V2ᴺ − 101 LSB

An 8-bit ADC that rounds to the nearest code has an input range of 0 to 2.5 V. With 1 LSB = VFSR/2ᴺ, find the largest quantisation error eq,max in mV.

N = 8VFSR = 2.5 V
eq,max = mV
2.Easy
f0fN​ = ?25 kHz

An ADC samples at 25 kHz. Find the Nyquist frequency fN, the highest signal frequency it can represent without aliasing.

fs = 25 kHz
fN = kHz
3.Medium
Vin​N = 8VFSR​2ᴺ − 101 LSB

Find the ideal signal-to-quantisation-noise ratio SQNR of an 8-bit ADC for a full-scale sine wave.

N = 8
SQNR = dB
4.Medium
Vin​N = 1010 V01 LSB8.902 V?

A 10-bit ADC with an input range of 0 to 10 V truncates: its output code is ⌊Vin/LSB⌋ with 1 LSB = VFSR/2ᴺ. Find the decimal output code D for an input of 8.902 V.

N = 10VFSR = 10 VVin = 8.902 V
D =
5.Hard
Vin​N = ?VFSR​2ᴺ − 101 LSB

An audio measurement needs an ideal signal-to-quantisation-noise ratio of at least 70 dB for a full-scale sine wave. Find the smallest number of ADC bits N.

SQNR ≥ 70 dB
N =
6.Hard
f0fs​/2fs​4 kHz3f₁?

A 4 kHz square wave is sampled at 20 kHz with no anti-aliasing filter. A square wave contains the odd harmonics 3f₁, 5f₁, 7f₁, … At which frequency fa does its harmonic 3f₁ appear in the sampled data? Give it in kHz.

f₁ = 4 kHzfs = 20 kHzharmonic: 3f₁
fa = kHz

Answer key

  1. 1. eq,max = 4.883 mV
  2. 2. fN = 12.5 kHz
  3. 3. SQNR = 49.92 dB
  4. 4. D = 911
  5. 5. N = 12
  6. 6. fa = 8 kHz

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