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.

New worksheet Practise online with hints

For teachers: free to print, copy and use in class. Every new worksheet has new values and its own answer key. A link to ExamProblems on your course page is appreciated.

Name: ____________________ Date: ____________

1.Easy

A sensor signal contains frequencies up to 15 kHz. Find the minimum sampling rate f_s,min that captures it without aliasing.

f_max = 15 kHz

f_s,min = kHz

2.Easy

A 14-bit ADC has an input range of 0 to 5 V. Taking 1 LSB = V_FSR/2ᴺ, find the size of one LSB in mV.

N = 14V_FSR = 5 V

1 LSB = mV

3.Medium

A recorder samples one channel at 25 kHz with a 24-bit ADC. Each sample is stored in whole bytes. Find the memory M needed for a 60 min recording, in MB (1 MB = 10⁶ bytes).

n = 1f_s = 25 kHzN = 24t = 60 min

M = MB

4.Medium

A UART sends bytes at 1200 baud in the format 8E1: 8 data bits, an even parity bit and 1 stop bit(s), plus the start bit. Find the largest number of data bytes per second it can transfer.

baud = 1200 Bd8E1

R_B = B/s

5.Hard

A 16-bit ADC streams every sample over a UART at 19200 baud, format 8N1 (start bit, 8 data bits, 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 = 19200 BdN = 168N1

f_max = Hz

6.Hard

A microcontroller with a 16 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 = 16 MHztarget = 57600 Bd

e = %

Answer key

1. f_s,min = 30 kHz
2. 1 LSB = 0.3052 mV
3. M = 270 MB
4. R_B = 109.1 B/s
5. f_max = 480 Hz
6. e = 2.124 %

Full step-by-step solutions: practise this topic on examproblems.com.