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 = 810 V2ᴺ − 101 LSB = ?

An 8-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 = 8VFSR = 10 V
1 LSB = mV
2.Easy
f0fN​ = ?48 kHz

An ADC samples at 48 kHz. Find the Nyquist frequency fN, the highest signal frequency it can represent without aliasing.

fs = 48 kHz
fN = kHz
3.Medium
Vin​N = 1210 V2ᴺ − 101 LSB7.348 V?

A 12-bit ADC with an input range of 0 to 10 V truncates: its output code is ⌊Vin/LSB⌋ with 1 LSB = VFSR/2ᴺ. Find the decimal output code D for an input of 7.348 V.

N = 12VFSR = 10 VVin = 7.348 V
D =
4.Medium
Vin​N = ?100 kPa2ᴺ − 10≤ 0.5 kPa

A sensor measures pressure over a span of 100 kPa, and its output fills the whole input range of an ADC. The reading must resolve 0.5 kPa. Find the smallest number of bits N the ADC needs.

span = 100 kParesolution = 0.5 kPa
N =
5.Hard
T10 mV/°C×20∿01N = 12, 10 V? °C/LSB

A temperature sensor gives 10 mV/°C (0 V at 0 °C). Its signal is amplified 20 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 = 10 mV/°CG = 20N = 12VFSR = 10 V
ΔTLSB = °C
6.Hard
f0fs​/2fs​2 kHz3f₁?

A 2 kHz square wave is sampled at 5 kHz with no anti-aliasing filter. A square wave contains the odd harmonics 3f₁, 5f₁, 7f₁, … At which frequency fa does its harmonic 3f₁ appear in the sampled data? Give it in Hz.

f₁ = 2 kHzfs = 5 kHzharmonic: 3f₁
fa = Hz

Answer key

  1. 1. 1 LSB = 39.06 mV
  2. 2. fN = 24 kHz
  3. 3. D = 3009
  4. 4. N = 8
  5. 5. ΔTLSB = 0.01221 °C
  6. 6. fa = 1000 Hz

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