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

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 recorder samples one channel at 5 kHz with a 14-bit ADC. Each sample is stored in whole bytes. Find the memory M needed for a 60 min recording, in MB (1 MB = 10⁶ bytes).

n = 1f_s = 5 kHzN = 14t = 60 min

M = MB

4.Medium

A UART sends bytes at 38400 baud in the format 8N2: 8 data bits, no parity and 2 stop bit(s), plus the start bit. Find the largest number of data bytes per second it can transfer.

baud = 38400 Bd8N2

R_B = B/s

5.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 3f₁ appear in the sampled data? Give it in Hz.

f₁ = 1.5 kHzf_s = 5 kHzharmonic: 3f₁

f_a = Hz

6.Hard

A temperature sensor gives 10 mV/°C (0 V at 0 °C). Its signal is amplified 5 times and fed to an 8-bit ADC with a range of 0 to 3.3 V (1 LSB = V_FSR/2ᴺ). Find the temperature change ΔT_LSB that corresponds to one LSB.

S = 10 mV/°CG = 5N = 8V_FSR = 3.3 V

ΔT_LSB = °C

Answer key

1. T_b = 416.7 µs
2. f_N = 0.5 kHz
3. M = 36 MB
4. R_B = 3491 B/s
5. f_a = 500 Hz
6. ΔT_LSB = 0.2578 °C

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