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 14-bit ADC that rounds to the nearest code has an input range of 0 to 2.5 V. With 1 LSB = V_FSR/2ᴺ, find the largest quantisation error e_q,max in mV.

N = 14V_FSR = 2.5 V

e_q,max = mV

2.Easy

A 16-bit ADC that rounds to the nearest code has an input range of 0 to 3.3 V. With 1 LSB = V_FSR/2ᴺ, find the largest quantisation error e_q,max in mV.

N = 16V_FSR = 3.3 V

e_q,max = mV

3.Medium

A recorder samples one channel at 1 kHz with a 14-bit ADC. Each sample is stored in whole bytes. Find the memory M needed for a 5 min recording, in MB (1 MB = 10⁶ bytes).

n = 1f_s = 1 kHzN = 14t = 5 min

M = MB

4.Medium

Find the ideal signal-to-quantisation-noise ratio SQNR of a 20-bit ADC for a full-scale sine wave.

N = 20

SQNR = dB

5.Hard

A microcontroller with a 20 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 9600 baud. Find the percentage error of the real baud rate (positive when it is too fast).

f_clk = 20 MHztarget = 9600 Bd

e = %

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 9600 baud. Find the percentage error of the real baud rate (positive when it is too fast).

f_clk = 16 MHztarget = 9600 Bd

e = %

Answer key

1. e_q,max = 0.07629 mV
2. e_q,max = 0.02518 mV
3. M = 0.6 MB
4. SQNR = 122.2 dB
5. e = 0.1603 %
6. e = 0.1603 %

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