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 = 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
2.Easy
f0fN​ = ?48 kHz

An ADC samples at 48 kHz. Find the Nyquist frequency fN, the highest signal frequency it can represent without aliasing.

fs = 48 kHz
fN = kHz
3.Medium
Vin​N = ?100 kPa2ᴺ − 10≤ 0.1 kPa

A sensor measures pressure over a span of 100 kPa, and its output fills the whole input range of an ADC. The reading must resolve 0.1 kPa. Find the smallest number of bits N the ADC needs.

span = 100 kParesolution = 0.1 kPa
N =
4.Medium
∿01N = 1050 kHz? MB

A recorder samples one channel at 50 kHz with a 10-bit ADC. Each sample is stored in whole bytes. Find the memory M needed for a 2 min recording, in MB (1 MB = 10⁶ bytes).

n = 1fs = 50 kHzN = 10t = 2 min
M = MB
5.Hard
SD0​D1​D2​D3​D4​D5​D6​D7​1/fbaud​4 MHz / (16·D)

A microcontroller with a 4 MHz clock sets its UART baud rate as fclk/(16·D), with D a whole number rounded to the nearest value. The target is 2400 baud. Find the percentage error of the real baud rate (positive when it is too fast).

fclk = 4 MHztarget = 2400 Bd
e = %
6.Hard
T20 mV/°C×10∿01N = 8, 2.5 V? °C/LSB

A temperature sensor gives 20 mV/°C (0 V at 0 °C). Its signal is amplified 10 times and fed to an 8-bit ADC with a range of 0 to 2.5 V (1 LSB = VFSR/2ᴺ). Find the temperature change ΔTLSB that corresponds to one LSB.

S = 20 mV/°CG = 10N = 8VFSR = 2.5 V
ΔTLSB = °C

Answer key

  1. 1. eq,max = 0.07629 mV
  2. 2. fN = 24 kHz
  3. 3. N = 10
  4. 4. M = 12 MB
  5. 5. e = 0.1603 %
  6. 6. ΔTLSB = 0.04883 °C

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