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
Vin​N = 85 V2ᴺ − 101 LSB = ?

An 8-bit ADC has an input range of 0 to 5 V. Taking 1 LSB = VFSR/2ᴺ, find the size of one LSB in mV.

N = 8VFSR = 5 V
1 LSB = mV
2.Easy
f0fs​/2fs​ = ?0.5 kHz

A sensor signal contains frequencies up to 0.5 kHz. Find the minimum sampling rate fs,min that captures it without aliasing.

fmax = 0.5 kHz
fs,min = kHz
3.Medium
tTs​ = 1/fs​f = 3.5 kHzfs​ = 5 kHz

A 3.5 kHz sine wave is sampled at 5 kHz without an anti-aliasing filter. At which frequency fa does it appear in the samples? Give it in Hz.

f = 3.5 kHzfs = 5 kHz
fa = Hz
4.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
5.Hard
f0fs​/2fs​2fs​3fs​9 kHz7f₁?

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 7f₁ appear in the sampled data? Give it in kHz.

f₁ = 9 kHzfs = 20 kHzharmonic: 7f₁
fa = kHz
6.Hard
122 ch∿01tc​ = 1 µstset​ = 0.5 µsfs​ = ?

A 2-channel multiplexer feeds one ADC. Each conversion takes 1 µs, and after every channel switch the input needs 0.5 µs to settle. The channels are scanned in turn without pause. Find the sampling rate fs of each channel, in kHz.

n = 2tc = 1 µstset = 0.5 µs
fs = kHz

Answer key

  1. 1. 1 LSB = 19.53 mV
  2. 2. fs,min = 1 kHz
  3. 3. fa = 1500 Hz
  4. 4. RB = 120 B/s
  5. 5. fa = 3 kHz
  6. 6. fs = 333.3 kHz

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