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.

New worksheetPractise online with hints

For teachers: free to print, copy and use in class. Every new worksheet has new values and its own answer key. A link to ExamProblems on your course page is appreciated.

Name: ____________________   Date: ____________

1.Easy
Vin​N = 121 V2ᴺ − 101 LSB = ?

A 12-bit ADC has an input range of 0 to 1 V. Taking 1 LSB = VFSR/2ᴺ, find the size of one LSB in mV.

N = 12VFSR = 1 V
1 LSB = mV
2.Easy
f0fN​ = ?44.1 kHz

An ADC samples at 44.1 kHz. Find the Nyquist frequency fN, the highest signal frequency it can represent without aliasing.

fs = 44.1 kHz
fN = kHz
3.Medium
Vin​N = 10VFSR​2ᴺ − 101 LSB

Find the ideal signal-to-quantisation-noise ratio SQNR of a 10-bit ADC for a full-scale sine wave.

N = 10
SQNR = dB
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
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
f0fs​/2fs​6 kHz5f₁?

A 6 kHz square wave is sampled at 50 kHz with no anti-aliasing filter. A square wave contains the odd harmonics 3f₁, 5f₁, 7f₁, … At which frequency fa does its harmonic 5f₁ appear in the sampled data? Give it in kHz.

f₁ = 6 kHzfs = 50 kHzharmonic: 5f₁
fa = kHz

Answer key

  1. 1. 1 LSB = 0.2441 mV
  2. 2. fN = 22.05 kHz
  3. 3. SQNR = 61.96 dB
  4. 4. SQNR = 146.2 dB
  5. 5. N = 11
  6. 6. fa = 20 kHz

Full step-by-step solutions: practise this topic on examproblems.com.