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 14-bit ADC has an input range of 0 to 5 V. Taking 1 LSB = V_FSR/2ᴺ, find the size of one LSB in mV.

N = 14V_FSR = 5 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

A recorder samples 4 channels at 20 kHz each with a 10-bit ADC. Each sample is stored in whole bytes. Find the memory M needed for a 2 min recording, in MB (1 MB = 10⁶ bytes).

n = 4f_s = 20 kHzN = 10t = 2 min

M = MB

4.Medium

A recorder samples 8 channels at 20 kHz each with a 24-bit ADC. Each sample is stored in whole bytes. Find the memory M needed for a 15 min recording, in MB (1 MB = 10⁶ bytes).

n = 8f_s = 20 kHzN = 24t = 15 min

M = MB

5.Hard

A 4-channel multiplexer feeds one ADC. Each conversion takes 2 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 = 4t_c = 2 µst_set = 0.5 µs

f_s = kHz

6.Hard

A microcontroller with an 8 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 2400 baud. Find the percentage error of the real baud rate (positive when it is too fast).

f_clk = 8 MHztarget = 2400 Bd

e = %

Answer key

1. 1 LSB = 0.3052 mV
2. f_s,min = 2 kHz
3. M = 19.2 MB
4. M = 432 MB
5. f_s = 100 kHz
6. e = 0.1603 %

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