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​ = ?9600 Bd

A UART link runs at 9600 baud. Find the duration Tb of one bit, in µs.

baud = 9600 Bd
Tb = µs
2.Easy
SD0​D1​D2​D3​D4​D5​D6​D7​Tb​ = ?19200 Bd

A UART link runs at 19200 baud. Find the duration Tb of one bit, in µs.

baud = 19200 Bd
Tb = µs
3.Medium
Vin​N = 83.3 V2ᴺ − 101 LSB2.278 V?

An 8-bit ADC with an input range of 0 to 3.3 V truncates: its output code is ⌊Vin/LSB⌋ with 1 LSB = VFSR/2ᴺ. Find the decimal output code D for an input of 2.278 V.

N = 8VFSR = 3.3 VVin = 2.278 V
D =
4.Medium
tTs​ = 1/fs​f = 90 kHzfs​ = 50 kHz

A 90 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 = 90 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 40 dB for a full-scale sine wave. Find the smallest number of ADC bits N.

SQNR ≥ 40 dB
N =
6.Hard
f0fs​/2fs​2fs​9 kHz5f₁?

A 9 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 5f₁ appear in the sampled data? Give it in kHz.

f₁ = 9 kHzfs = 20 kHzharmonic: 5f₁
fa = kHz

Answer key

  1. 1. Tb = 104.2 µs
  2. 2. Tb = 52.08 µs
  3. 3. D = 176
  4. 4. fa = 10 kHz
  5. 5. N = 7
  6. 6. fa = 5 kHz

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