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
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
2.Easy
Vin​N = 81 V2ᴺ − 101 LSB = ?

An 8-bit ADC has an input range of 0 to 1 V. Taking 1 LSB = VFSR/2ᴺ, find the size of one LSB in mV.

N = 8VFSR = 1 V
1 LSB = mV
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
tTs​ = 1/fs​f = 170 kHzfs​ = 100 kHz

A 170 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 = 170 kHzfs = 100 kHz
fa = kHz
5.Hard
122 ch∿01tc​ = 2 µstset​ = 1 µsfs​ = ?

A 2-channel multiplexer feeds one ADC. Each conversion takes 2 µs, and after every channel switch the input needs 1 µs to settle. The channels are scanned in turn without pause. Find the sampling rate fs of each channel, in kHz.

n = 2tc = 2 µstset = 1 µs
fs = kHz
6.Hard
T20 mV/°C×5∿01N = 8, 2.5 V? °C/LSB

A temperature sensor gives 20 mV/°C (0 V at 0 °C). Its signal is amplified 5 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 = 5N = 8VFSR = 2.5 V
ΔTLSB = °C

Answer key

  1. 1. fs,min = 100 kHz
  2. 2. 1 LSB = 3.906 mV
  3. 3. SQNR = 74 dB
  4. 4. fa = 30 kHz
  5. 5. fs = 166.7 kHz
  6. 6. ΔTLSB = 0.09766 °C

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