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
f0fs​/2fs​ = ?5 kHz

A sensor signal contains frequencies up to 5 kHz. Find the minimum sampling rate fs,min that captures it without aliasing.

fmax = 5 kHz
fs,min = kHz
2.Easy
f0fs​/2fs​ = ?15 kHz

A sensor signal contains frequencies up to 15 kHz. Find the minimum sampling rate fs,min that captures it without aliasing.

fmax = 15 kHz
fs,min = kHz
3.Medium
Vin​N = 20VFSR​2ᴺ − 101 LSB

Find the ideal signal-to-quantisation-noise ratio SQNR of a 20-bit ADC for a full-scale sine wave.

N = 20
SQNR = dB
4.Medium
tTs​ = 1/fs​f = 27.5 kHzfs​ = 50 kHz

A 27.5 kHz sine wave is sampled at 50 kHz without an anti-aliasing filter. At which frequency fa does it appear in the samples? Give it in kHz.

f = 27.5 kHzfs = 50 kHz
fa = kHz
5.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 =
6.Hard
SD0​D1​D2​D3​D4​D5​D6​D7​Tb​10·Tb​38400 Bd, 8N1

A 10-bit ADC streams every sample over a UART at 38400 baud, format 8N1 (start bit, 8 data bits, 1 stop bit). Each sample is sent as 2 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 = 38400 BdN = 108N1
fmax = Hz

Answer key

  1. 1. fs,min = 10 kHz
  2. 2. fs,min = 30 kHz
  3. 3. SQNR = 122.2 dB
  4. 4. fa = 22.5 kHz
  5. 5. N = 14
  6. 6. fmax = 960 Hz

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