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 1 V. Taking 1 LSB = V_FSR/2ᴺ, find the size of one LSB in mV.

N = 12V_FSR = 1 V

1 LSB = mV

2.Easy

An ADC samples at 50 kHz. Find the Nyquist frequency f_N, the highest signal frequency it can represent without aliasing.

f_s = 50 kHz

f_N = kHz

3.Medium

A sensor measures distance over a span of 100 mm, and its output fills the whole input range of an ADC. The reading must resolve 0.5 mm. Find the smallest number of bits N the ADC needs.

span = 100 mmresolution = 0.5 mm

N =

4.Medium

A 12-bit ADC with an input range of 0 to 10 V truncates: its output code is ⌊V_in/LSB⌋ with 1 LSB = V_FSR/2ᴺ. Find the decimal output code D for an input of 0.885 V.

N = 12V_FSR = 10 VV_in = 0.885 V

D =

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 microcontroller with a 16 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 = 16 MHztarget = 115200 Bd

e = %

Answer key

1. 1 LSB = 0.2441 mV
2. f_N = 25 kHz
3. N = 8
4. D = 362
5. f_max = 218.2 Hz
6. e = −3.549 %

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