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
122 ch∿01N = 165 kHz? kbit/s

A data logger samples 2 channels, each at 5 kHz with 16-bit resolution. Find the raw data rate Rb in kbit/s.

n = 2fs = 5 kHzN = 16
Rb = kbit/s
2.Easy
SD0​D1​D2​D3​D4​D5​D6​D7​Tb​ = ?57600 Bd

A UART link runs at 57600 baud. Find the duration Tb of one bit, in µs.

baud = 57600 Bd
Tb = µs
3.Medium
128⋮8 ch∿01N = 1610 kHz? MB

A recorder samples 8 channels at 10 kHz each with a 16-bit ADC. Each sample is stored in whole bytes. Find the memory M needed for a 15 min recording, in MB (1 MB = 10⁶ bytes).

n = 8fs = 10 kHzN = 16t = 15 min
M = MB
4.Medium
124⋮4 ch∿01N = 142 kHz? MB

A recorder samples 4 channels at 2 kHz each with a 14-bit ADC. Each sample is stored in whole bytes. Find the memory M needed for a 5 min recording, in MB (1 MB = 10⁶ bytes).

n = 4fs = 2 kHzN = 14t = 5 min
M = MB
5.Hard
SD0​D1​D2​D3​D4​D5​D6​D7​1/fbaud​10 MHz / (16·D)

A microcontroller with a 10 MHz clock sets its UART baud rate as fclk/(16·D), with D a whole number rounded to the nearest value. The target is 4800 baud. Find the percentage error of the real baud rate (positive when it is too fast).

fclk = 10 MHztarget = 4800 Bd
e = %
6.Hard
Vin​N = ?VFSR​2ᴺ − 101 LSB

An audio measurement needs an ideal signal-to-quantisation-noise ratio of at least 60 dB for a full-scale sine wave. Find the smallest number of ADC bits N.

SQNR ≥ 60 dB
N =

Answer key

  1. 1. Rb = 160 kbit/s
  2. 2. Tb = 17.36 µs
  3. 3. M = 144 MB
  4. 4. M = 4.8 MB
  5. 5. e = 0.1603 %
  6. 6. N = 10

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