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

A data logger samples 8 channels, each at 44.1 kHz with 16-bit resolution. Find the raw data rate R_b in kbit/s.

n = 8f_s = 44.1 kHzN = 16

R_b = kbit/s

3.Medium

A 10-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 7.546 V.

N = 10V_FSR = 10 VV_in = 7.546 V

D =

4.Medium

A 16 kHz sine wave is sampled at 10 kHz without an anti-aliasing filter. At which frequency f_a does it appear in the samples? Give it in kHz.

f = 16 kHzf_s = 10 kHz

f_a = kHz

5.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 57600 baud. Find the percentage error of the real baud rate (positive when it is too fast).

f_clk = 12 MHztarget = 57600 Bd

e = %

6.Hard

A 12-bit ADC streams every sample over a UART at 115200 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 = 115200 BdN = 128E1

f_max = Hz

Answer key

1. T_b = 26.04 µs
2. R_b = 5645 kbit/s
3. D = 772
4. f_a = 4 kHz
5. e = 0.1603 %
6. f_max = 2618 Hz

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