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 UART link runs at 1200 baud. Find the duration T_b of one bit, in µs.

baud = 1200 Bd

T_b = µs

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

A 4 kHz sine wave is sampled at 5 kHz without an anti-aliasing filter. At which frequency f_a does it appear in the samples? Give it in Hz.

f = 4 kHzf_s = 5 kHz

f_a = Hz

4.Medium

A 10-bit ADC with an input range of 0 to 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 1.8 V.

N = 10V_FSR = 5 VV_in = 1.8 V

D =

5.Hard

A 16-bit ADC streams every sample over a UART at 115200 baud, format 8N1 (start bit, 8 data bits, 1 stop bit). Each sample is sent as 2 whole byte(s) and the link is busy all the time. Find the highest signal frequency f_max that can be sampled without aliasing, in Hz.

baud = 115200 BdN = 168N1

f_max = Hz

6.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 5f₁ appear in the sampled data? Give it in kHz.

f₁ = 17.5 kHzf_s = 50 kHzharmonic: 5f₁

f_a = kHz

Answer key

1. T_b = 833.3 µs
2. f_N = 0.5 kHz
3. f_a = 1000 Hz
4. D = 368
5. f_max = 2880 Hz
6. f_a = 12.5 kHz

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