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
f0fs​/2fs​ = ?8 kHz

A sensor signal contains frequencies up to 8 kHz. Find the minimum sampling rate fs,min that captures it without aliasing.

fmax = 8 kHz
fs,min = kHz
2.Easy
Vin​N = 810 V2ᴺ − 101 LSB

An 8-bit ADC that rounds to the nearest code has an input range of 0 to 10 V. With 1 LSB = VFSR/2ᴺ, find the largest quantisation error eq,max in mV.

N = 8VFSR = 10 V
eq,max = mV
3.Medium
SD0​D1​D2​D3​D4​D5​D6​D7​Tb​10·Tb​38400 Bd, 8N1

A UART sends bytes at 38400 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 = 38400 Bd8N1
RB = B/s
4.Medium
tTs​ = 1/fs​f = 17 kHzfs​ = 10 kHz

A 17 kHz sine wave is sampled at 10 kHz without an anti-aliasing filter. At which frequency fa does it appear in the samples? Give it in kHz.

f = 17 kHzfs = 10 kHz
fa = kHz
5.Hard
f0fs​/2fs​1.75 kHz5f₁?

A 1.75 kHz 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 5f₁ appear in the sampled data? Give it in Hz.

f₁ = 1.75 kHzfs = 5 kHzharmonic: 5f₁
fa = Hz
6.Hard
SD0​D1​D2​D3​D4​D5​D6​D7​1/fbaud​32 MHz / (16·D)

A microcontroller with a 32 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 = 32 MHztarget = 57600 Bd
e = %

Answer key

  1. 1. fs,min = 16 kHz
  2. 2. eq,max = 19.53 mV
  3. 3. RB = 3840 B/s
  4. 4. fa = 3 kHz
  5. 5. fa = 1250 Hz
  6. 6. e = −0.7937 %

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