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
f0fN​ = ?12 kHz

An ADC samples at 12 kHz. Find the Nyquist frequency fN, the highest signal frequency it can represent without aliasing.

fs = 12 kHz
fN = kHz
2.Easy
Vin​N = 1610 V2ᴺ − 101 LSB = ?

A 16-bit ADC has an input range of 0 to 10 V. Taking 1 LSB = VFSR/2ᴺ, find the size of one LSB in mV.

N = 16VFSR = 10 V
1 LSB = mV
3.Medium
Vin​N = 85 V2ᴺ − 101 LSB2.002 V?

An 8-bit ADC with an input range of 0 to 5 V truncates: its output code is ⌊Vin/LSB⌋ with 1 LSB = VFSR/2ᴺ. Find the decimal output code D for an input of 2.002 V.

N = 8VFSR = 5 VVin = 2.002 V
D =
4.Medium
Vin​N = 102.5 V2ᴺ − 11 LSB0.177 V?

A 10-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 0.177 V.

N = 10VFSR = 2.5 VVin = 0.177 V
D =
5.Hard
Vin​N = ?VFSR​2ᴺ − 101 LSB

An audio measurement needs an ideal signal-to-quantisation-noise ratio of at least 75 dB for a full-scale sine wave. Find the smallest number of ADC bits N.

SQNR ≥ 75 dB
N =
6.Hard
1216⋮16 ch∿01tc​ = 4 µstset​ = 0.5 µsfs​ = ?

A 16-channel multiplexer feeds one ADC. Each conversion takes 4 µs, and after every channel switch the input needs 0.5 µs to settle. The channels are scanned in turn without pause. Find the sampling rate fs of each channel, in kHz.

n = 16tc = 4 µstset = 0.5 µs
fs = kHz

Answer key

  1. 1. fN = 6 kHz
  2. 2. 1 LSB = 0.1526 mV
  3. 3. D = 102
  4. 4. D = 72
  5. 5. N = 13
  6. 6. fs = 13.89 kHz

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