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​ = ?1200 Bd

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

baud = 1200 Bd
Tb = µs
2.Easy
∿01N = 82 kHz? kbit/s

A data logger samples one channel at 2 kHz with 8-bit resolution. Find the raw data rate Rb in kbit/s.

n = 1fs = 2 kHzN = 8
Rb = kbit/s
3.Medium
Vin​N = ?300 mm2ᴺ − 10≤ 0.2 mm

A sensor measures distance over a span of 300 mm, and its output fills the whole input range of an ADC. The reading must resolve 0.2 mm. Find the smallest number of bits N the ADC needs.

span = 300 mmresolution = 0.2 mm
N =
4.Medium
Vin​N = ?10 V2ᴺ − 10≤ 2 mV

An ADC with an input range of 0 to 10 V must resolve steps of 2 mV or smaller. Find the smallest number of bits N.

VFSR = 10 Vresolution = 2 mV
N =
5.Hard
SD0​D1​D2​D3​D4​D5​D6​D7​Tb​10·Tb​460800 Bd, 8N1

A 24-bit ADC streams every sample over a UART at 460800 baud, format 8N1 (start bit, 8 data bits, 1 stop bit). Each sample is sent as 3 whole byte(s) and the link is busy all the time. Find the highest signal frequency fmax that can be sampled without aliasing, in Hz.

baud = 460800 BdN = 248N1
fmax = Hz
6.Hard
SD0​D1​D2​D3​D4​D5​D6​D7​1/fbaud​16 MHz / (16·D)

A microcontroller with a 16 MHz clock sets its UART baud rate as fclk/(16·D), with D a whole number rounded to the nearest value. The target is 9600 baud. Find the percentage error of the real baud rate (positive when it is too fast).

fclk = 16 MHztarget = 9600 Bd
e = %

Answer key

  1. 1. Tb = 833.3 µs
  2. 2. Rb = 16 kbit/s
  3. 3. N = 11
  4. 4. N = 13
  5. 5. fmax = 7680 Hz
  6. 6. e = 0.1603 %

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