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 115200 baud. Find the duration T_b of one bit, in µs.

baud = 115200 Bd

T_b = µs

2.Easy

A data logger samples 16 channels, each at 5 kHz with 16-bit resolution. Find the raw data rate R_b in kbit/s.

n = 16f_s = 5 kHzN = 16

R_b = kbit/s

3.Medium

A UART sends bytes at 9600 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 = 9600 Bd8E2

R_B = B/s

4.Medium

Find the ideal signal-to-quantisation-noise ratio SQNR of a 10-bit ADC for a full-scale sine wave.

N = 10

SQNR = dB

5.Hard

A 4-channel multiplexer feeds one ADC. Each conversion takes 2.5 µs, and after every channel switch the input needs 0.5 µs to settle. The channels are scanned in turn without pause. Find the sampling rate f_s of each channel, in kHz.

n = 4t_c = 2.5 µst_set = 0.5 µs

f_s = kHz

6.Hard

A 600 Hz 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 5f₁ appear in the sampled data? Give it in Hz.

f₁ = 600 Hzf_s = 5 kHzharmonic: 5f₁

f_a = Hz

Answer key

1. T_b = 8.681 µs
2. R_b = 1280 kbit/s
3. R_B = 800 B/s
4. SQNR = 61.96 dB
5. f_s = 83.33 kHz
6. f_a = 2000 Hz

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