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 = 103.3 V2ᴺ − 101 LSB = ?

A 10-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 = 10VFSR = 3.3 V
1 LSB = mV
2.Easy
Vin​N = 141 V2ᴺ − 101 LSB = ?

A 14-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 = 14VFSR = 1 V
1 LSB = mV
3.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
4.Medium
Vin​N = 6VFSR​2ᴺ − 101 LSB

Find the ideal signal-to-quantisation-noise ratio SQNR of a 6-bit ADC for a full-scale sine wave.

N = 6
SQNR = dB
5.Hard
126⋮6 ch∿01tc​ = 2.5 µstset​ = 5 µsfs​ = ?

A 6-channel multiplexer feeds one ADC. Each conversion takes 2.5 µs, and after every channel switch the input needs 5 µs to settle. The channels are scanned in turn without pause. Find the sampling rate fs of each channel, in kHz.

n = 6tc = 2.5 µstset = 5 µs
fs = kHz
6.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 =

Answer key

  1. 1. 1 LSB = 3.223 mV
  2. 2. 1 LSB = 0.06104 mV
  3. 3. SQNR = 49.92 dB
  4. 4. SQNR = 37.88 dB
  5. 5. fs = 22.22 kHz
  6. 6. N = 11

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