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

A sensor signal contains frequencies up to 22 kHz. Find the minimum sampling rate f_s,min that captures it without aliasing.

f_max = 22 kHz

f_s,min = kHz

2.Easy

An ADC samples at 40 kHz. Find the Nyquist frequency f_N, the highest signal frequency it can represent without aliasing.

f_s = 40 kHz

f_N = kHz

3.Medium

A recorder samples one channel at 20 kHz with a 10-bit ADC. Each sample is stored in whole bytes. Find the memory M needed for a 5 min recording, in MB (1 MB = 10⁶ bytes).

n = 1f_s = 20 kHzN = 10t = 5 min

M = MB

4.Medium

An ADC with an input range of 0 to 3.3 V must resolve steps of 10 mV or smaller. Find the smallest number of bits N.

V_FSR = 3.3 Vresolution = 10 mV

N =

5.Hard

An 8-channel multiplexer feeds one ADC. Each conversion takes 2.5 µs, and after every channel switch the input needs 5 µs to settle. The channels are scanned in turn without pause. Find the sampling rate f_s of each channel, in kHz.

n = 8t_c = 2.5 µst_set = 5 µs

f_s = kHz

6.Hard

A 4-channel multiplexer feeds one ADC. Each conversion takes 4 µs, and after every channel switch the input needs 2 µs to settle. The channels are scanned in turn without pause. Find the sampling rate f_s of each channel, in kHz.

n = 4t_c = 4 µst_set = 2 µs

f_s = kHz

Answer key

1. f_s,min = 44 kHz
2. f_N = 20 kHz
3. M = 12 MB
4. N = 9
5. f_s = 16.67 kHz
6. f_s = 41.67 kHz

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