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
f0fs​/2fs​ = ?50 kHz

A sensor signal contains frequencies up to 50 kHz. Find the minimum sampling rate fs,min that captures it without aliasing.

fmax = 50 kHz
fs,min = kHz
3.Medium
Vin​N = 10VFSR​2ᴺ − 101 LSB

Find the ideal signal-to-quantisation-noise ratio SQNR of a 10-bit ADC for a full-scale sine wave.

N = 10
SQNR = dB
4.Medium
122 ch∿01N = 2425 kHz? MB

A recorder samples 2 channels at 25 kHz each with a 24-bit ADC. Each sample is stored in whole bytes. Find the memory M needed for a 5 min recording, in MB (1 MB = 10⁶ bytes).

n = 2fs = 25 kHzN = 24t = 5 min
M = MB
5.Hard
SD0​D1​D2​D3​D4​D5​D6​D7​1/fbaud​8 MHz / (16·D)

A microcontroller with an 8 MHz clock sets its UART baud rate as fclk/(16·D), with D a whole number rounded to the nearest value. The target is 57600 baud. Find the percentage error of the real baud rate (positive when it is too fast).

fclk = 8 MHztarget = 57600 Bd
e = %
6.Hard
f0fs​/2fs​240 Hz5f₁?

A 240 Hz square wave is sampled at 2 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 Hz.

f₁ = 240 Hzfs = 2 kHzharmonic: 5f₁
fa = Hz

Answer key

  1. 1. Tb = 52.08 µs
  2. 2. fs,min = 100 kHz
  3. 3. SQNR = 61.96 dB
  4. 4. M = 45 MB
  5. 5. e = −3.549 %
  6. 6. fa = 800 Hz

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