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
Vin​N = 163.3 V2ᴺ − 101 LSB

A 16-bit ADC that rounds to the nearest code has an input range of 0 to 3.3 V. With 1 LSB = VFSR/2ᴺ, find the largest quantisation error eq,max in mV.

N = 16VFSR = 3.3 V
eq,max = mV
2.Easy
f0fN​ = ?5 kHz

An ADC samples at 5 kHz. Find the Nyquist frequency fN, the highest signal frequency it can represent without aliasing.

fs = 5 kHz
fN = kHz
3.Medium
Vin​N = 12VFSR​2ᴺ − 101 LSB

Find the ideal signal-to-quantisation-noise ratio SQNR of a 12-bit ADC for a full-scale sine wave.

N = 12
SQNR = dB
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 30 min recording, in MB (1 MB = 10⁶ bytes).

n = 4fs = 2 kHzN = 14t = 30 min
M = MB
5.Hard
SD0​D1​D2​D3​D4​D5​D6​D7​1/fbaud​8 MHz / (16·D)

A microcontroller with an 8 MHz clock sets its UART baud rate as fclk/(16·D), with D a whole number rounded to the nearest value. The target is 2400 baud. Find the percentage error of the real baud rate (positive when it is too fast).

fclk = 8 MHztarget = 2400 Bd
e = %
6.Hard
Vin​N = ?VFSR​2ᴺ − 101 LSB

An audio measurement needs an ideal signal-to-quantisation-noise ratio of at least 70 dB for a full-scale sine wave. Find the smallest number of ADC bits N.

SQNR ≥ 70 dB
N =

Answer key

  1. 1. eq,max = 0.02518 mV
  2. 2. fN = 2.5 kHz
  3. 3. SQNR = 74 dB
  4. 4. M = 28.8 MB
  5. 5. e = 0.1603 %
  6. 6. N = 12

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