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 2400 baud. Find the duration T_b of one bit, in µs.

baud = 2400 Bd

T_b = µs

2.Easy

A data logger samples 6 channels, each at 1 kHz with 12-bit resolution. Find the raw data rate R_b in kbit/s.

n = 6f_s = 1 kHzN = 12

R_b = kbit/s

3.Medium

A recorder samples 4 channels at 20 kHz each with a 14-bit ADC. Each sample is stored in whole bytes. Find the memory M needed for a 10 min recording, in MB (1 MB = 10⁶ bytes).

n = 4f_s = 20 kHzN = 14t = 10 min

M = MB

4.Medium

A 65 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 = 65 kHzf_s = 50 kHz

f_a = kHz

5.Hard

A temperature sensor gives 1 mV/°C (0 V at 0 °C). Its signal is amplified 1 times and fed to a 12-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 = 1 mV/°CG = 1N = 12V_FSR = 2.5 V

ΔT_LSB = °C

6.Hard

A microcontroller with an 8 MHz clock sets its UART baud rate as f_clk/(16·D), with D a whole number rounded to the nearest value. The target is 38400 baud. Find the percentage error of the real baud rate (positive when it is too fast).

f_clk = 8 MHztarget = 38400 Bd

e = %

Answer key

1. T_b = 416.7 µs
2. R_b = 72 kbit/s
3. M = 96 MB
4. f_a = 15 kHz
5. ΔT_LSB = 0.6104 °C
6. e = 0.1603 %

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