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
f0fN​ = ?10 kHz

An ADC samples at 10 kHz. Find the Nyquist frequency fN, the highest signal frequency it can represent without aliasing.

fs = 10 kHz
fN = kHz
2.Easy
f0fN​ = ?16 kHz

An ADC samples at 16 kHz. Find the Nyquist frequency fN, the highest signal frequency it can represent without aliasing.

fs = 16 kHz
fN = kHz
3.Medium
tTs​ = 1/fs​f = 140 kHzfs​ = 100 kHz

A 140 kHz sine wave is sampled at 100 kHz without an anti-aliasing filter. At which frequency fa does it appear in the samples? Give it in kHz.

f = 140 kHzfs = 100 kHz
fa = kHz
4.Medium
Vin​N = 103.3 V2ᴺ − 101 LSB0.932 V?

A 10-bit ADC with an input range of 0 to 3.3 V truncates: its output code is ⌊Vin/LSB⌋ with 1 LSB = VFSR/2ᴺ. Find the decimal output code D for an input of 0.932 V.

N = 10VFSR = 3.3 VVin = 0.932 V
D =
5.Hard
Vin​N = ?VFSR​2ᴺ − 101 LSB

An audio measurement needs an ideal signal-to-quantisation-noise ratio of at least 40 dB for a full-scale sine wave. Find the smallest number of ADC bits N.

SQNR ≥ 40 dB
N =
6.Hard
T10 mV/°C×20∿01N = 10, 10 V? °C/LSB

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

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

Answer key

  1. 1. fN = 5 kHz
  2. 2. fN = 8 kHz
  3. 3. fa = 40 kHz
  4. 4. D = 289
  5. 5. N = 7
  6. 6. ΔTLSB = 0.04883 °C

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