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​ = ?2400 Bd

A UART link runs at 2400 baud. Find the duration Tb of one bit, in µs.

baud = 2400 Bd
Tb = µs
2.Easy
f0fN​ = ?12 kHz

An ADC samples at 12 kHz. Find the Nyquist frequency fN, the highest signal frequency it can represent without aliasing.

fs = 12 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
tTs​ = 1/fs​f = 1.3 kHzfs​ = 1 kHz

A 1.3 kHz sine wave is sampled at 1 kHz without an anti-aliasing filter. At which frequency fa does it appear in the samples? Give it in Hz.

f = 1.3 kHzfs = 1 kHz
fa = Hz
5.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 =
6.Hard
122 ch∿01tc​ = 10 µstset​ = 1 µsfs​ = ?

A 2-channel multiplexer feeds one ADC. Each conversion takes 10 µs, and after every channel switch the input needs 1 µs to settle. The channels are scanned in turn without pause. Find the sampling rate fs of each channel, in kHz.

n = 2tc = 10 µstset = 1 µs
fs = kHz

Answer key

  1. 1. Tb = 416.7 µs
  2. 2. fN = 6 kHz
  3. 3. RB = 120 B/s
  4. 4. fa = 300 Hz
  5. 5. N = 12
  6. 6. fs = 45.45 kHz

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