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
f0fN​ = ?100 kHz

An ADC samples at 100 kHz. Find the Nyquist frequency fN, the highest signal frequency it can represent without aliasing.

fs = 100 kHz
fN = kHz
2.Easy
Vin​N = 810 V2ᴺ − 101 LSB

An 8-bit ADC that rounds to the nearest code has an input range of 0 to 10 V. With 1 LSB = VFSR/2ᴺ, find the largest quantisation error eq,max in mV.

N = 8VFSR = 10 V
eq,max = mV
3.Medium
SD0​D1​D2​D3​D4​D5​D6​D7​Tb​11·Tb​57600 Bd, 8N2

A UART sends bytes at 57600 baud in the format 8N2: 8 data bits, no parity and 2 stop bit(s), plus the start bit. Find the largest number of data bytes per second it can transfer.

baud = 57600 Bd8N2
RB = B/s
4.Medium
Vin​N = 16VFSR​2ᴺ − 101 LSB

Find the ideal signal-to-quantisation-noise ratio SQNR of a 16-bit ADC for a full-scale sine wave.

N = 16
SQNR = dB
5.Hard
f0fs​/2fs​2fs​6 kHz7f₁?

A 6 kHz square wave is sampled at 20 kHz with no anti-aliasing filter. A square wave contains the odd harmonics 3f₁, 5f₁, 7f₁, … At which frequency fa does its harmonic 7f₁ appear in the sampled data? Give it in kHz.

f₁ = 6 kHzfs = 20 kHzharmonic: 7f₁
fa = kHz
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. fN = 50 kHz
  2. 2. eq,max = 19.53 mV
  3. 3. RB = 5236 B/s
  4. 4. SQNR = 98.08 dB
  5. 5. fa = 2 kHz
  6. 6. N = 10

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