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
∿01N = 122 kHz? kbit/s

A data logger samples one channel at 2 kHz with 12-bit resolution. Find the raw data rate Rb in kbit/s.

n = 1fs = 2 kHzN = 12
Rb = kbit/s
2.Easy
Vin​N = 162.5 V2ᴺ − 101 LSB = ?

A 16-bit ADC has an input range of 0 to 2.5 V. Taking 1 LSB = VFSR/2ᴺ, find the size of one LSB in mV.

N = 16VFSR = 2.5 V
1 LSB = mV
3.Medium
tTs​ = 1/fs​f = 80 kHzfs​ = 50 kHz

An 80 kHz sine wave is sampled at 50 kHz without an anti-aliasing filter. At which frequency fa does it appear in the samples? Give it in kHz.

f = 80 kHzfs = 50 kHz
fa = kHz
4.Medium
Vin​N = ?5 V2ᴺ − 10≤ 1 mV

An ADC with an input range of 0 to 5 V must resolve steps of 1 mV or smaller. Find the smallest number of bits N.

VFSR = 5 Vresolution = 1 mV
N =
5.Hard
T10 mV/°C×1∿01N = 12, 3.3 V? °C/LSB

A temperature sensor gives 10 mV/°C (0 V at 0 °C). Its signal is amplified 1 times and fed to a 12-bit ADC with a range of 0 to 3.3 V (1 LSB = VFSR/2ᴺ). Find the temperature change ΔTLSB that corresponds to one LSB.

S = 10 mV/°CG = 1N = 12VFSR = 3.3 V
ΔTLSB = °C
6.Hard
f0fs​/2fs​400 Hz3f₁?

A 400 Hz square wave is sampled at 2 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 = 400 Hzfs = 2 kHzharmonic: 3f₁
fa = Hz

Answer key

  1. 1. Rb = 24 kbit/s
  2. 2. 1 LSB = 0.03815 mV
  3. 3. fa = 20 kHz
  4. 4. N = 13
  5. 5. ΔTLSB = 0.08057 °C
  6. 6. fa = 800 Hz

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