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 UART link runs at 38400 baud. Find the duration T_b of one bit, in µs.

baud = 38400 Bd

T_b = µs

2.Easy

An ADC samples at 4 kHz. Find the Nyquist frequency f_N, the highest signal frequency it can represent without aliasing.

f_s = 4 kHz

f_N = kHz

3.Medium

A recorder samples 8 channels at 20 kHz each with a 16-bit ADC. Each sample is stored in whole bytes. Find the memory M needed for a 30 min recording, in MB (1 MB = 10⁶ bytes).

n = 8f_s = 20 kHzN = 16t = 30 min

M = MB

4.Medium

A 3.4 kHz sine wave is sampled at 2 kHz without an anti-aliasing filter. At which frequency f_a does it appear in the samples? Give it in Hz.

f = 3.4 kHzf_s = 2 kHz

f_a = Hz

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 4800 baud. Find the percentage error of the real baud rate (positive when it is too fast).

f_clk = 1 MHztarget = 4800 Bd

e = %

6.Hard

A microcontroller with a 10 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 = 10 MHztarget = 115200 Bd

e = %

Answer key

1. T_b = 26.04 µs
2. f_N = 2 kHz
3. M = 576 MB
4. f_a = 600 Hz
5. e = 0.1603 %
6. e = 8.507 %

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