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 = 142.5 V2ᴺ − 101 LSB

A 14-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 = 14VFSR = 2.5 V
eq,max = mV
2.Easy
Vin​N = 123.3 V2ᴺ − 101 LSB = ?

A 12-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 = 12VFSR = 3.3 V
1 LSB = mV
3.Medium
tTs​ = 1/fs​f = 9.6 kHzfs​ = 8 kHz

A 9.6 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 = 9.6 kHzfs = 8 kHz
fa = Hz
4.Medium
tTs​ = 1/fs​f = 120 kHzfs​ = 100 kHz

A 120 kHz sine wave is sampled at 100 kHz without an anti-aliasing filter. At which frequency fa does it appear in the samples? Give it in kHz.

f = 120 kHzfs = 100 kHz
fa = kHz
5.Hard
Vin​N = ?VFSR​2ᴺ − 101 LSB

An audio measurement needs an ideal signal-to-quantisation-noise ratio of at least 60 dB for a full-scale sine wave. Find the smallest number of ADC bits N.

SQNR ≥ 60 dB
N =
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. eq,max = 0.07629 mV
  2. 2. 1 LSB = 0.8057 mV
  3. 3. fa = 1600 Hz
  4. 4. fa = 20 kHz
  5. 5. N = 10
  6. 6. N = 15

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