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
SD0​D1​D2​D3​D4​D5​D6​D7​Tb​ = ?38400 Bd

A UART link runs at 38400 baud. Find the duration Tb of one bit, in µs.

baud = 38400 Bd
Tb = µs
2.Easy
SD0​D1​D2​D3​D4​D5​D6​D7​Tb​ = ?1200 Bd

A UART link runs at 1200 baud. Find the duration Tb of one bit, in µs.

baud = 1200 Bd
Tb = µs
3.Medium
Vin​N = ?3.3 V2ᴺ − 10≤ 2 mV

An ADC with an input range of 0 to 3.3 V must resolve steps of 2 mV or smaller. Find the smallest number of bits N.

VFSR = 3.3 Vresolution = 2 mV
N =
4.Medium
124⋮4 ch∿01N = 1650 kHz? MB

A recorder samples 4 channels at 50 kHz each with a 16-bit ADC. Each sample is stored in whole bytes. Find the memory M needed for a 30 min recording, in MB (1 MB = 10⁶ bytes).

n = 4fs = 50 kHzN = 16t = 30 min
M = MB
5.Hard
122 ch∿01tc​ = 10 µstset​ = 0.5 µsfs​ = ?

A 2-channel multiplexer feeds one ADC. Each conversion takes 10 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 = 2tc = 10 µstset = 0.5 µs
fs = kHz
6.Hard
124⋮4 ch∿01tc​ = 8 µstset​ = 2.5 µsfs​ = ?

A 4-channel multiplexer feeds one ADC. Each conversion takes 8 µs, and after every channel switch the input needs 2.5 µs to settle. The channels are scanned in turn without pause. Find the sampling rate fs of each channel, in kHz.

n = 4tc = 8 µstset = 2.5 µs
fs = kHz

Answer key

  1. 1. Tb = 26.04 µs
  2. 2. Tb = 833.3 µs
  3. 3. N = 11
  4. 4. M = 720 MB
  5. 5. fs = 47.62 kHz
  6. 6. fs = 23.81 kHz

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