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

A 14-bit ADC has an input range of 0 to 3.3 V. Taking 1 LSB = V_FSR/2ᴺ, find the size of one LSB in mV.

N = 14V_FSR = 3.3 V

1 LSB = mV

2.Easy

A sensor signal contains frequencies up to 3 kHz. Find the minimum sampling rate f_s,min that captures it without aliasing.

f_max = 3 kHz

f_s,min = kHz

3.Medium

A 30 kHz sine wave is sampled at 50 kHz without an anti-aliasing filter. At which frequency f_a does it appear in the samples? Give it in kHz.

f = 30 kHzf_s = 50 kHz

f_a = kHz

4.Medium

A sensor measures pressure over a span of 1000 kPa, and its output fills the whole input range of an ADC. The reading must resolve 1 kPa. Find the smallest number of bits N the ADC needs.

span = 1000 kParesolution = 1 kPa

N =

5.Hard

A 17.5 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 f_a does its harmonic 3f₁ appear in the sampled data? Give it in kHz.

f₁ = 17.5 kHzf_s = 50 kHzharmonic: 3f₁

f_a = kHz

6.Hard

A temperature sensor gives 5 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 = V_FSR/2ᴺ). Find the temperature change ΔT_LSB that corresponds to one LSB.

S = 5 mV/°CG = 10N = 8V_FSR = 2.5 V

ΔT_LSB = °C

Answer key

1. 1 LSB = 0.2014 mV
2. f_s,min = 6 kHz
3. f_a = 20 kHz
4. N = 10
5. f_a = 2.5 kHz
6. ΔT_LSB = 0.1953 °C

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