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 = 125 V2ᴺ − 101 LSB

A 12-bit ADC that rounds to the nearest code has an input range of 0 to 5 V. With 1 LSB = VFSR/2ᴺ, find the largest quantisation error eq,max in mV.

N = 12VFSR = 5 V
eq,max = mV
3.Medium
Vin​N = 105 V2ᴺ − 101 LSB1.374 V?

A 10-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 1.374 V.

N = 10VFSR = 5 VVin = 1.374 V
D =
4.Medium
tTs​ = 1/fs​f = 130 kHzfs​ = 100 kHz

A 130 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 = 130 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 90 dB for a full-scale sine wave. Find the smallest number of ADC bits N.

SQNR ≥ 90 dB
N =
6.Hard
T5 mV/°C×2.5∿01N = 12, 10 V? °C/LSB

A temperature sensor gives 5 mV/°C (0 V at 0 °C). Its signal is amplified 2.5 times and fed to a 12-bit ADC with a range of 0 to 10 V (1 LSB = VFSR/2ᴺ). Find the temperature change ΔTLSB that corresponds to one LSB.

S = 5 mV/°CG = 2.5N = 12VFSR = 10 V
ΔTLSB = °C

Answer key

  1. 1. eq,max = 0.07629 mV
  2. 2. eq,max = 0.6104 mV
  3. 3. D = 281
  4. 4. fa = 30 kHz
  5. 5. N = 15
  6. 6. ΔTLSB = 0.1953 °C

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