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 sensor signal contains frequencies up to 20 kHz. Find the minimum sampling rate f_s,min that captures it without aliasing.

f_max = 20 kHz

f_s,min = kHz

2.Easy

A UART link runs at 19200 baud. Find the duration T_b of one bit, in µs.

baud = 19200 Bd

T_b = µs

3.Medium

A recorder samples 8 channels at 20 kHz each with a 12-bit ADC. Each sample is stored in whole bytes. Find the memory M needed for a 1 min recording, in MB (1 MB = 10⁶ bytes).

n = 8f_s = 20 kHzN = 12t = 1 min

M = MB

4.Medium

A recorder samples 4 channels at 2 kHz each with a 14-bit ADC. Each sample is stored in whole bytes. Find the memory M needed for a 5 min recording, in MB (1 MB = 10⁶ bytes).

n = 4f_s = 2 kHzN = 14t = 5 min

M = MB

5.Hard

A 4-channel multiplexer feeds one ADC. Each conversion takes 4 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 = 4t_c = 4 µst_set = 5 µs

f_s = kHz

6.Hard

A microcontroller with a 32 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 = 32 MHztarget = 19200 Bd

e = %

Answer key

1. f_s,min = 40 kHz
2. T_b = 52.08 µs
3. M = 19.2 MB
4. M = 4.8 MB
5. f_s = 27.78 kHz
6. e = 0.1603 %

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