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 12-bit ADC that rounds to the nearest code has an input range of 0 to 2.5 V. With 1 LSB = V_FSR/2ᴺ, find the largest quantisation error e_q,max in mV.

N = 12V_FSR = 2.5 V

e_q,max = mV

2.Easy

A UART link runs at 1200 baud. Find the duration T_b of one bit, in µs.

baud = 1200 Bd

T_b = µs

3.Medium

Find the ideal signal-to-quantisation-noise ratio SQNR of an 18-bit ADC for a full-scale sine wave.

N = 18

SQNR = dB

4.Medium

A recorder samples 2 channels at 1 kHz each with a 10-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 = 2f_s = 1 kHzN = 10t = 10 min

M = MB

5.Hard

A 2-channel multiplexer feeds one ADC. Each conversion takes 2 µs, and after every channel switch the input needs 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 = 2 µst_set = 5 µs

f_s = kHz

6.Hard

A temperature sensor gives 1 mV/°C (0 V at 0 °C). Its signal is amplified 5 times and fed to a 12-bit ADC with a range of 0 to 2.5 V (1 LSB = V_FSR/2ᴺ). Find the temperature change ΔT_LSB that corresponds to one LSB.

S = 1 mV/°CG = 5N = 12V_FSR = 2.5 V

ΔT_LSB = °C

Answer key

1. e_q,max = 0.3052 mV
2. T_b = 833.3 µs
3. SQNR = 110.1 dB
4. M = 2.4 MB
5. f_s = 71.43 kHz
6. ΔT_LSB = 0.1221 °C

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