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​ = ?10 kHz

An ADC samples at 10 kHz. Find the Nyquist frequency fN, the highest signal frequency it can represent without aliasing.

fs = 10 kHz
fN = kHz
2.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
3.Medium
Vin​N = ?3.3 V2ᴺ − 10≤ 0.2 mV

An ADC with an input range of 0 to 3.3 V must resolve steps of 0.2 mV or smaller. Find the smallest number of bits N.

VFSR = 3.3 Vresolution = 0.2 mV
N =
4.Medium
Vin​N = 123.3 V2ᴺ − 101 LSB0.558 V?

A 12-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 0.558 V.

N = 12VFSR = 3.3 VVin = 0.558 V
D =
5.Hard
f0fs​/2fs​500 Hz7f₁?

A 500 Hz 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 = 500 Hzfs = 5 kHzharmonic: 7f₁
fa = Hz
6.Hard
124⋮4 ch∿01tc​ = 2 µstset​ = 1 µsfs​ = ?

A 4-channel multiplexer feeds one ADC. Each conversion takes 2 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 = 4tc = 2 µstset = 1 µs
fs = kHz

Answer key

  1. 1. fN = 5 kHz
  2. 2. Tb = 416.7 µs
  3. 3. N = 15
  4. 4. D = 692
  5. 5. fa = 1500 Hz
  6. 6. fs = 83.33 kHz

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