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 = 1610 V2ᴺ − 101 LSB

A 16-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 = 16VFSR = 10 V
eq,max = mV
2.Easy
f0fN​ = ?25 kHz

An ADC samples at 25 kHz. Find the Nyquist frequency fN, the highest signal frequency it can represent without aliasing.

fs = 25 kHz
fN = kHz
3.Medium
Vin​N = ?1 V2ᴺ − 10≤ 2 mV

An ADC with an input range of 0 to 1 V must resolve steps of 2 mV or smaller. Find the smallest number of bits N.

VFSR = 1 Vresolution = 2 mV
N =
4.Medium
Vin​N = ?2.5 V2ᴺ − 10≤ 0.2 mV

An ADC with an input range of 0 to 2.5 V must resolve steps of 0.2 mV or smaller. Find the smallest number of bits N.

VFSR = 2.5 Vresolution = 0.2 mV
N =
5.Hard
SD0​D1​D2​D3​D4​D5​D6​D7​1/fbaud​24 MHz / (16·D)

A microcontroller with a 24 MHz clock sets its UART baud rate as fclk/(16·D), with D a whole number rounded to the nearest value. The target is 4800 baud. Find the percentage error of the real baud rate (positive when it is too fast).

fclk = 24 MHztarget = 4800 Bd
e = %
6.Hard
128⋮8 ch∿01tc​ = 4 µstset​ = 2 µsfs​ = ?

An 8-channel multiplexer feeds one ADC. Each conversion takes 4 µs, and after every channel switch the input needs 2 µs to settle. The channels are scanned in turn without pause. Find the sampling rate fs of each channel, in kHz.

n = 8tc = 4 µstset = 2 µs
fs = kHz

Answer key

  1. 1. eq,max = 0.07629 mV
  2. 2. fN = 12.5 kHz
  3. 3. N = 9
  4. 4. N = 14
  5. 5. e = −0.1597 %
  6. 6. fs = 20.83 kHz

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