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

An 8-bit ADC that rounds to the nearest code has an input range of 0 to 1 V. With 1 LSB = V_FSR/2ᴺ, find the largest quantisation error e_q,max in mV.

N = 8V_FSR = 1 V

e_q,max = mV

2.Easy

A UART link runs at 115200 baud. Find the duration T_b of one bit, in µs.

baud = 115200 Bd

T_b = µs

3.Medium

Find the ideal signal-to-quantisation-noise ratio SQNR of a 14-bit ADC for a full-scale sine wave.

N = 14

SQNR = dB

4.Medium

A 3.2 kHz sine wave is sampled at 2 kHz without an anti-aliasing filter. At which frequency f_a does it appear in the samples? Give it in Hz.

f = 3.2 kHzf_s = 2 kHz

f_a = Hz

5.Hard

A 10-bit ADC streams every sample over a UART at 9600 baud, format 8E1 (start bit, 8 data bits, even parity, 1 stop bit). Each sample is sent as 2 whole byte(s) and the link is busy all the time. Find the highest signal frequency f_max that can be sampled without aliasing, in Hz.

baud = 9600 BdN = 108E1

f_max = Hz

6.Hard

A 24-bit ADC streams every sample over a UART at 115200 baud, format 8N1 (start bit, 8 data bits, 1 stop bit). Each sample is sent as 3 whole byte(s) and the link is busy all the time. Find the highest signal frequency f_max that can be sampled without aliasing, in Hz.

baud = 115200 BdN = 248N1

f_max = Hz

Answer key

1. e_q,max = 1.953 mV
2. T_b = 8.681 µs
3. SQNR = 86.04 dB
4. f_a = 800 Hz
5. f_max = 218.2 Hz
6. f_max = 1920 Hz

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