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 data logger samples 2 channels, each at 2 kHz with 12-bit resolution. Find the raw data rate R_b in kbit/s.

n = 2f_s = 2 kHzN = 12

R_b = kbit/s

2.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

3.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

4.Medium

A UART sends bytes at 19200 baud in the format 8N1: 8 data bits, no parity and 1 stop bit(s), plus the start bit. Find the largest number of data bytes per second it can transfer.

baud = 19200 Bd8N1

R_B = B/s

5.Hard

A 4-channel multiplexer feeds one ADC. Each conversion takes 8 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 = 8 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 19200 baud. Find the percentage error of the real baud rate (positive when it is too fast).

f_clk = 8 MHztarget = 19200 Bd

e = %

Answer key

1. R_b = 48 kbit/s
2. f_s,min = 20 kHz
3. f_a = 600 Hz
4. R_B = 1920 B/s
5. f_s = 29.41 kHz
6. e = 0.1603 %

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