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
126⋮6 ch∿01N = 1248 kHz? kbit/s

A data logger samples 6 channels, each at 48 kHz with 12-bit resolution. Find the raw data rate Rb in kbit/s.

n = 6fs = 48 kHzN = 12
Rb = kbit/s
3.Medium
124⋮4 ch∿01N = 1625 kHz? MB

A recorder samples 4 channels at 25 kHz each with a 16-bit ADC. Each sample is stored in whole bytes. Find the memory M needed for a 2 min recording, in MB (1 MB = 10⁶ bytes).

n = 4fs = 25 kHzN = 16t = 2 min
M = MB
4.Medium
tTs​ = 1/fs​f = 9.2 kHzfs​ = 8 kHz

A 9.2 kHz sine wave is sampled at 8 kHz without an anti-aliasing filter. At which frequency fa does it appear in the samples? Give it in Hz.

f = 9.2 kHzfs = 8 kHz
fa = Hz
5.Hard
122 ch∿01tc​ = 8 µstset​ = 5 µsfs​ = ?

A 2-channel multiplexer feeds one ADC. Each conversion takes 8 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 = 2tc = 8 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 85 dB for a full-scale sine wave. Find the smallest number of ADC bits N.

SQNR ≥ 85 dB
N =

Answer key

  1. 1. Tb = 26.04 µs
  2. 2. Rb = 3456 kbit/s
  3. 3. M = 24 MB
  4. 4. fa = 1200 Hz
  5. 5. fs = 38.46 kHz
  6. 6. N = 14

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