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 = 143.3 V2ᴺ − 101 LSB = ?

A 14-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 = 14VFSR = 3.3 V
1 LSB = mV
2.Easy
∿01N = 820 kHz? kbit/s

A data logger samples one channel at 20 kHz with 8-bit resolution. Find the raw data rate Rb in kbit/s.

n = 1fs = 20 kHzN = 8
Rb = kbit/s
3.Medium
Vin​N = 82.5 V2ᴺ − 101 LSB0.975 V?

An 8-bit ADC with an input range of 0 to 2.5 V truncates: its output code is ⌊Vin/LSB⌋ with 1 LSB = VFSR/2ᴺ. Find the decimal output code D for an input of 0.975 V.

N = 8VFSR = 2.5 VVin = 0.975 V
D =
4.Medium
Vin​N = 103.3 V2ᴺ − 101 LSB2.829 V?

A 10-bit ADC with an input range of 0 to 3.3 V truncates: its output code is ⌊Vin/LSB⌋ with 1 LSB = VFSR/2ᴺ. Find the decimal output code D for an input of 2.829 V.

N = 10VFSR = 3.3 VVin = 2.829 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
128⋮8 ch∿01tc​ = 1 µstset​ = 1 µsfs​ = ?

An 8-channel multiplexer feeds one ADC. Each conversion takes 1 µs, and after every channel switch the input needs 1 µs to settle. The channels are scanned in turn without pause. Find the sampling rate fs of each channel, in kHz.

n = 8tc = 1 µstset = 1 µs
fs = kHz

Answer key

  1. 1. 1 LSB = 0.2014 mV
  2. 2. Rb = 160 kbit/s
  3. 3. D = 99
  4. 4. D = 877
  5. 5. N = 12
  6. 6. fs = 62.5 kHz

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