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 6 channels, each at 2 kHz with 16-bit resolution. Find the raw data rate R_b in kbit/s.

n = 6f_s = 2 kHzN = 16

R_b = kbit/s

2.Easy

A sensor signal contains frequencies up to 50 kHz. Find the minimum sampling rate f_s,min that captures it without aliasing.

f_max = 50 kHz

f_s,min = kHz

3.Medium

A UART sends bytes at 38400 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 = 38400 Bd8N1

R_B = B/s

4.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 5.25 V.

N = 10V_FSR = 10 VV_in = 5.25 V

D =

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

An audio measurement needs an ideal signal-to-quantisation-noise ratio of at least 70 dB for a full-scale sine wave. Find the smallest number of ADC bits N.

SQNR ≥ 70 dB

N =

Answer key

1. R_b = 192 kbit/s
2. f_s,min = 100 kHz
3. R_B = 3840 B/s
4. D = 537
5. e = 0.1603 %
6. N = 12

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