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

An ADC samples at 1 kHz. Find the Nyquist frequency f_N, the highest signal frequency it can represent without aliasing.

f_s = 1 kHz

f_N = kHz

2.Easy

A 12-bit ADC that rounds to the nearest code has an input range of 0 to 10 V. With 1 LSB = V_FSR/2ᴺ, find the largest quantisation error e_q,max in mV.

N = 12V_FSR = 10 V

e_q,max = mV

3.Medium

A 55 kHz sine wave is sampled at 100 kHz without an anti-aliasing filter. At which frequency f_a does it appear in the samples? Give it in kHz.

f = 55 kHzf_s = 100 kHz

f_a = kHz

4.Medium

An 8-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 7.129 V.

N = 8V_FSR = 10 VV_in = 7.129 V

D =

5.Hard

A microcontroller with a 1 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 = 1 MHztarget = 19200 Bd

e = %

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 9600 baud. Find the percentage error of the real baud rate (positive when it is too fast).

f_clk = 32 MHztarget = 9600 Bd

e = %

Answer key

1. f_N = 0.5 kHz
2. e_q,max = 1.221 mV
3. f_a = 45 kHz
4. D = 182
5. e = 8.507 %
6. e = 0.1603 %

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