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 has an input range of 0 to 3.3 V. Taking 1 LSB = V_FSR/2ᴺ, find the size of one LSB in mV.

N = 12V_FSR = 3.3 V

1 LSB = mV

2.Easy

A sensor signal contains frequencies up to 22 kHz. Find the minimum sampling rate f_s,min that captures it without aliasing.

f_max = 22 kHz

f_s,min = kHz

3.Medium

Find the ideal signal-to-quantisation-noise ratio SQNR of a 24-bit ADC for a full-scale sine wave.

N = 24

SQNR = dB

4.Medium

A 17 kHz sine wave is sampled at 20 kHz without an anti-aliasing filter. At which frequency f_a does it appear in the samples? Give it in kHz.

f = 17 kHzf_s = 20 kHz

f_a = kHz

5.Hard

A 24-bit ADC streams every sample over a UART at 19200 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 = 19200 BdN = 248N1

f_max = Hz

6.Hard

A microcontroller with a 4 MHz clock sets its UART baud rate as f_clk/(16·D), with D a whole number rounded to the nearest value. The target is 19200 baud. Find the percentage error of the real baud rate (positive when it is too fast).

f_clk = 4 MHztarget = 19200 Bd

e = %

Answer key

1. 1 LSB = 0.8057 mV
2. f_s,min = 44 kHz
3. SQNR = 146.2 dB
4. f_a = 3 kHz
5. f_max = 320 Hz
6. e = 0.1603 %

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