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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Name: ____________________ Date: ____________

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 UART link runs at 4800 baud. Find the duration T_b of one bit, in µs.

baud = 4800 Bd

T_b = µs

3.Medium

A recorder samples 2 channels at 20 kHz each with a 24-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 = 20 kHzN = 24t = 15 min

M = MB

4.Medium

A UART sends bytes at 38400 baud in the format 8N1: 8 data bits, no parity and 1 stop bit(s), plus the start bit. Find the largest number of data bytes per second it can transfer.

baud = 38400 Bd8N1

R_B = B/s

5.Hard

A temperature sensor gives 5 mV/°C (0 V at 0 °C). Its signal is amplified 20 times and fed to an 8-bit ADC with a range of 0 to 5 V (1 LSB = V_FSR/2ᴺ). Find the temperature change ΔT_LSB that corresponds to one LSB.

S = 5 mV/°CG = 20N = 8V_FSR = 5 V

ΔT_LSB = °C

6.Hard

A 1.5 kHz square wave is sampled at 5 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 = 1.5 kHzf_s = 5 kHzharmonic: 7f₁

f_a = Hz

Answer key

1. T_b = 416.7 µs
2. T_b = 208.3 µs
3. M = 108 MB
4. R_B = 3840 B/s
5. ΔT_LSB = 0.1953 °C
6. f_a = 500 Hz

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