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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Name: ____________________   Date: ____________

1.Easy
SD0​D1​D2​D3​D4​D5​D6​D7​Tb​ = ?115200 Bd

A UART link runs at 115200 baud. Find the duration Tb of one bit, in µs.

baud = 115200 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 = 12VFSR​2ᴺ − 101 LSB

Find the ideal signal-to-quantisation-noise ratio SQNR of a 12-bit ADC for a full-scale sine wave.

N = 12
SQNR = dB
4.Medium
Vin​N = ?2.5 V2ᴺ − 10≤ 5 mV

An ADC with an input range of 0 to 2.5 V must resolve steps of 5 mV or smaller. Find the smallest number of bits N.

VFSR = 2.5 Vresolution = 5 mV
N =
5.Hard
Vin​N = ?VFSR​2ᴺ − 101 LSB

An audio measurement needs an ideal signal-to-quantisation-noise ratio of at least 55 dB for a full-scale sine wave. Find the smallest number of ADC bits N.

SQNR ≥ 55 dB
N =
6.Hard
Vin​N = ?VFSR​2ᴺ − 101 LSB

An audio measurement needs an ideal signal-to-quantisation-noise ratio of at least 60 dB for a full-scale sine wave. Find the smallest number of ADC bits N.

SQNR ≥ 60 dB
N =

Answer key

  1. 1. Tb = 8.681 µs
  2. 2. fs,min = 100 kHz
  3. 3. SQNR = 74 dB
  4. 4. N = 9
  5. 5. N = 9
  6. 6. N = 10

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