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 16-bit ADC has an input range of 0 to 10 V. Taking 1 LSB = V_FSR/2ᴺ, find the size of one LSB in mV.

N = 16V_FSR = 10 V

1 LSB = mV

2.Easy

A sensor signal contains frequencies up to 1 kHz. Find the minimum sampling rate f_s,min that captures it without aliasing.

f_max = 1 kHz

f_s,min = kHz

3.Medium

Find the ideal signal-to-quantisation-noise ratio SQNR of a 20-bit ADC for a full-scale sine wave.

N = 20

SQNR = dB

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 2-channel multiplexer feeds one ADC. Each conversion takes 1 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 = 2t_c = 1 µst_set = 0.5 µs

f_s = kHz

6.Hard

A 5 kHz square wave is sampled at 50 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 kHz.

f₁ = 5 kHzf_s = 50 kHzharmonic: 7f₁

f_a = kHz

Answer key

1. 1 LSB = 0.1526 mV
2. f_s,min = 2 kHz
3. SQNR = 122.2 dB
4. R_B = 200 B/s
5. f_s = 333.3 kHz
6. f_a = 15 kHz

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