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 data logger samples 3 channels, each at 44.1 kHz with 16-bit resolution. Find the raw data rate R_b in kbit/s.

n = 3f_s = 44.1 kHzN = 16

R_b = kbit/s

2.Easy

An ADC samples at 5 kHz. Find the Nyquist frequency f_N, the highest signal frequency it can represent without aliasing.

f_s = 5 kHz

f_N = kHz

3.Medium

A recorder samples 2 channels at 5 kHz each with a 12-bit ADC. Each sample is stored in whole bytes. Find the memory M needed for a 15 min recording, in MB (1 MB = 10⁶ bytes).

n = 2f_s = 5 kHzN = 12t = 15 min

M = MB

4.Medium

An ADC with an input range of 0 to 10 V must resolve steps of 0.1 mV or smaller. Find the smallest number of bits N.

V_FSR = 10 Vresolution = 0.1 mV

N =

5.Hard

A 440 Hz square wave is sampled at 2 kHz with no anti-aliasing filter. A square wave contains the odd harmonics 3f₁, 5f₁, 7f₁, … At which frequency f_a does its harmonic 7f₁ appear in the sampled data? Give it in Hz.

f₁ = 440 Hzf_s = 2 kHzharmonic: 7f₁

f_a = Hz

6.Hard

A 16-bit ADC streams every sample over a UART at 38400 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 = 38400 BdN = 168N1

f_max = Hz

Answer key

1. R_b = 2117 kbit/s
2. f_N = 2.5 kHz
3. M = 18 MB
4. N = 17
5. f_a = 920 Hz
6. f_max = 960 Hz

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