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 19200 baud. Find the duration T_b of one bit, in µs.

baud = 19200 Bd

T_b = µs

2.Easy

An ADC samples at 48 kHz. Find the Nyquist frequency f_N, the highest signal frequency it can represent without aliasing.

f_s = 48 kHz

f_N = kHz

3.Medium

A recorder samples 8 channels at 2 kHz each with a 12-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 = 8f_s = 2 kHzN = 12t = 10 min

M = MB

4.Medium

A UART sends bytes at 2400 baud in the format 8E2: 8 data bits, an even parity bit and 2 stop bit(s), plus the start bit. Find the largest number of data bytes per second it can transfer.

baud = 2400 Bd8E2

R_B = B/s

5.Hard

A 16-channel multiplexer feeds one ADC. Each conversion takes 5 µs, and after every channel switch the input needs 2.5 µs to settle. The channels are scanned in turn without pause. Find the sampling rate f_s of each channel, in kHz.

n = 16t_c = 5 µst_set = 2.5 µs

f_s = kHz

6.Hard

A 700 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 = 700 Hzf_s = 2 kHzharmonic: 7f₁

f_a = Hz

Answer key

1. T_b = 52.08 µs
2. f_N = 24 kHz
3. M = 19.2 MB
4. R_B = 200 B/s
5. f_s = 8.333 kHz
6. f_a = 900 Hz

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