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 10 kHz. Find the minimum sampling rate f_s,min that captures it without aliasing.

f_max = 10 kHz

f_s,min = kHz

2.Easy

A 12-bit ADC has an input range of 0 to 2.5 V. Taking 1 LSB = V_FSR/2ᴺ, find the size of one LSB in mV.

N = 12V_FSR = 2.5 V

1 LSB = mV

3.Medium

A sensor measures distance over a span of 500 mm, and its output fills the whole input range of an ADC. The reading must resolve 0.2 mm. Find the smallest number of bits N the ADC needs.

span = 500 mmresolution = 0.2 mm

N =

4.Medium

A sensor measures distance over a span of 1000 mm, and its output fills the whole input range of an ADC. The reading must resolve 0.1 mm. Find the smallest number of bits N the ADC needs.

span = 1000 mmresolution = 0.1 mm

N =

5.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 115200 baud. Find the percentage error of the real baud rate (positive when it is too fast).

f_clk = 32 MHztarget = 115200 Bd

e = %

6.Hard

A 16-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 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 = 19200 BdN = 168N1

f_max = Hz

Answer key

1. f_s,min = 20 kHz
2. 1 LSB = 0.6104 mV
3. N = 12
4. N = 14
5. e = 2.124 %
6. f_max = 480 Hz

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