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 115200 baud. Find the duration T_b of one bit, in µs.

baud = 115200 Bd

T_b = µs

2.Easy

An ADC samples at 10 kHz. Find the Nyquist frequency f_N, the highest signal frequency it can represent without aliasing.

f_s = 10 kHz

f_N = kHz

3.Medium

A recorder samples 2 channels at 2 kHz each with a 14-bit ADC. Each sample is stored in whole bytes. Find the memory M needed for a 10 min recording, in MB (1 MB = 10⁶ bytes).

n = 2f_s = 2 kHzN = 14t = 10 min

M = MB

4.Medium

A UART sends bytes at 1200 baud in the format 8N2: 8 data bits, no parity and 2 stop bit(s), plus the start bit. Find the largest number of data bytes per second it can transfer.

baud = 1200 Bd8N2

R_B = B/s

5.Hard

An 8-channel multiplexer feeds one ADC. Each conversion takes 2.5 µs, and after every channel switch the input needs 1 µs to settle. The channels are scanned in turn without pause. Find the sampling rate f_s of each channel, in kHz.

n = 8t_c = 2.5 µst_set = 1 µs

f_s = kHz

6.Hard

A microcontroller with a 12 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 = 12 MHztarget = 19200 Bd

e = %

Answer key

1. T_b = 8.681 µs
2. f_N = 5 kHz
3. M = 4.8 MB
4. R_B = 109.1 B/s
5. f_s = 35.71 kHz
6. e = 0.1603 %

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