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.

New worksheetPractise online with hints

For teachers: free to print, copy and use in class. Every new worksheet has new values and its own answer key. A link to ExamProblems on your course page is appreciated.

Name: ____________________   Date: ____________

1.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
2.Easy
Vin​N = 142.5 V2ᴺ − 101 LSB

A 14-bit ADC that rounds to the nearest code has an input range of 0 to 2.5 V. With 1 LSB = VFSR/2ᴺ, find the largest quantisation error eq,max in mV.

N = 14VFSR = 2.5 V
eq,max = mV
3.Medium
tTs​ = 1/fs​f = 22 kHzfs​ = 20 kHz

A 22 kHz sine wave is sampled at 20 kHz without an anti-aliasing filter. At which frequency fa does it appear in the samples? Give it in kHz.

f = 22 kHzfs = 20 kHz
fa = kHz
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​1.8 kHz5f₁?

A 1.8 kHz square wave is sampled at 10 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 = 1.8 kHzfs = 10 kHzharmonic: 5f₁
fa = kHz
6.Hard
T10 mV/°C×2∿01N = 10, 10 V? °C/LSB

A temperature sensor gives 10 mV/°C (0 V at 0 °C). Its signal is amplified 2 times and fed to a 10-bit ADC with a range of 0 to 10 V (1 LSB = VFSR/2ᴺ). Find the temperature change ΔTLSB that corresponds to one LSB.

S = 10 mV/°CG = 2N = 10VFSR = 10 V
ΔTLSB = °C

Answer key

  1. 1. Tb = 52.08 µs
  2. 2. eq,max = 0.07629 mV
  3. 3. fa = 2 kHz
  4. 4. RB = 120 B/s
  5. 5. fa = 1 kHz
  6. 6. ΔTLSB = 0.4883 °C

Full step-by-step solutions: practise this topic on examproblems.com.