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 has an input range of 0 to 10 V. Taking 1 LSB = VFSR/2ᴺ, find the size of one LSB in mV.

N = 16VFSR = 10 V
1 LSB = mV
2.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
3.Medium
Vin​N = ?200 °C2ᴺ − 10≤ 0.5 °C

A sensor measures temperature over a span of 200 °C, and its output fills the whole input range of an ADC. The reading must resolve 0.5 °C. Find the smallest number of bits N the ADC needs.

span = 200 °Cresolution = 0.5 °C
N =
4.Medium
Vin​N = 18VFSR​2ᴺ − 101 LSB

Find the ideal signal-to-quantisation-noise ratio SQNR of an 18-bit ADC for a full-scale sine wave.

N = 18
SQNR = dB
5.Hard
SD0​D1​D2​D3​D4​D5​D6​D7​Tb​10·Tb​9600 Bd, 8N1

A 16-bit ADC streams every sample over a UART at 9600 baud, format 8N1 (start bit, 8 data bits, 1 stop bit). Each sample is sent as 2 whole byte(s) and the link is busy all the time. Find the highest signal frequency fmax that can be sampled without aliasing, in Hz.

baud = 9600 BdN = 168N1
fmax = Hz
6.Hard
f0fs​/2fs​7.5 kHz5f₁?

A 7.5 kHz square wave is sampled at 50 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 = 7.5 kHzfs = 50 kHzharmonic: 5f₁
fa = kHz

Answer key

  1. 1. 1 LSB = 0.1526 mV
  2. 2. eq,max = 0.07629 mV
  3. 3. N = 9
  4. 4. SQNR = 110.1 dB
  5. 5. fmax = 240 Hz
  6. 6. fa = 12.5 kHz

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