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 = 844.1 kHz? kbit/s

A data logger samples 2 channels, each at 44.1 kHz with 8-bit resolution. Find the raw data rate Rb in kbit/s.

n = 2fs = 44.1 kHzN = 8
Rb = kbit/s
2.Easy
f0fN​ = ?8 kHz

An ADC samples at 8 kHz. Find the Nyquist frequency fN, the highest signal frequency it can represent without aliasing.

fs = 8 kHz
fN = kHz
3.Medium
SD0​D1​D2​D3​D4​D5​D6​D7​Tb​10·Tb​1200 Bd, 8N1

A UART sends bytes at 1200 baud in the format 8N1: 8 data bits, no parity and 1 stop bit(s), plus the start bit. Find the largest number of data bytes per second it can transfer.

baud = 1200 Bd8N1
RB = B/s
4.Medium
Vin​N = 8VFSR​2ᴺ − 101 LSB

Find the ideal signal-to-quantisation-noise ratio SQNR of an 8-bit ADC for a full-scale sine wave.

N = 8
SQNR = dB
5.Hard
Vin​N = ?VFSR​2ᴺ − 101 LSB

An audio measurement needs an ideal signal-to-quantisation-noise ratio of at least 55 dB for a full-scale sine wave. Find the smallest number of ADC bits N.

SQNR ≥ 55 dB
N =
6.Hard
f0fs​/2fs​1 kHz7f₁?

A 1 kHz square wave is sampled at 5 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 Hz.

f₁ = 1 kHzfs = 5 kHzharmonic: 7f₁
fa = Hz

Answer key

  1. 1. Rb = 705.6 kbit/s
  2. 2. fN = 4 kHz
  3. 3. RB = 120 B/s
  4. 4. SQNR = 49.92 dB
  5. 5. N = 9
  6. 6. fa = 2000 Hz

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