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

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

f_s = 10 kHz

f_N = kHz

2.Easy

An ADC samples at 1 kHz. Find the Nyquist frequency f_N, the highest signal frequency it can represent without aliasing.

f_s = 1 kHz

f_N = kHz

3.Medium

An ADC with an input range of 0 to 1 V must resolve steps of 0.2 mV or smaller. Find the smallest number of bits N.

V_FSR = 1 Vresolution = 0.2 mV

N =

4.Medium

A 10-bit ADC with an input range of 0 to 2.5 V truncates: its output code is ⌊V_in/LSB⌋ with 1 LSB = V_FSR/2ᴺ. Find the decimal output code D for an input of 1.746 V.

N = 10V_FSR = 2.5 VV_in = 1.746 V

D =

5.Hard

An 8-channel multiplexer feeds one ADC. Each conversion takes 5 µs, and after every channel switch the input needs 0.5 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 = 5 µst_set = 0.5 µs

f_s = kHz

6.Hard

An 8-channel multiplexer feeds one ADC. Each conversion takes 20 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 = 8t_c = 20 µst_set = 2 µs

f_s = kHz

Answer key

1. f_N = 5 kHz
2. f_N = 0.5 kHz
3. N = 13
4. D = 715
5. f_s = 22.73 kHz
6. f_s = 5.682 kHz

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