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 = 161 V2ᴺ − 101 LSB

A 16-bit ADC that rounds to the nearest code has an input range of 0 to 1 V. With 1 LSB = VFSR/2ᴺ, find the largest quantisation error eq,max in mV.

N = 16VFSR = 1 V
eq,max = mV
2.Easy
Vin​N = 163.3 V2ᴺ − 101 LSB = ?

A 16-bit ADC has an input range of 0 to 3.3 V. Taking 1 LSB = VFSR/2ᴺ, find the size of one LSB in mV.

N = 16VFSR = 3.3 V
1 LSB = mV
3.Medium
tTs​ = 1/fs​f = 8.8 kHzfs​ = 8 kHz

An 8.8 kHz sine wave is sampled at 8 kHz without an anti-aliasing filter. At which frequency fa does it appear in the samples? Give it in Hz.

f = 8.8 kHzfs = 8 kHz
fa = Hz
4.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
5.Hard
f0fs​/2fs​360 Hz5f₁?

A 360 Hz square wave is sampled at 2 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 Hz.

f₁ = 360 Hzfs = 2 kHzharmonic: 5f₁
fa = Hz
6.Hard
f0fs​/2fs​2fs​3fs​900 Hz7f₁?

A 900 Hz square wave is sampled at 2 kHz with no anti-aliasing filter. A square wave contains the odd harmonics 3f₁, 5f₁, 7f₁, … At which frequency fa does its harmonic 7f₁ appear in the sampled data? Give it in Hz.

f₁ = 900 Hzfs = 2 kHzharmonic: 7f₁
fa = Hz

Answer key

  1. 1. eq,max = 0.007629 mV
  2. 2. 1 LSB = 0.05035 mV
  3. 3. fa = 800 Hz
  4. 4. SQNR = 49.92 dB
  5. 5. fa = 200 Hz
  6. 6. fa = 300 Hz

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