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

An ADC samples at 40 kHz. Find the Nyquist frequency f_N, the highest signal frequency it can represent without aliasing.

f_s = 40 kHz

f_N = kHz

2.Easy

A 14-bit ADC that rounds to the nearest code has an input range of 0 to 5 V. With 1 LSB = V_FSR/2ᴺ, find the largest quantisation error e_q,max in mV.

N = 14V_FSR = 5 V

e_q,max = mV

3.Medium

An ADC with an input range of 0 to 1 V must resolve steps of 5 mV or smaller. Find the smallest number of bits N.

V_FSR = 1 Vresolution = 5 mV

N =

4.Medium

A 1.35 kHz sine wave is sampled at 1 kHz without an anti-aliasing filter. At which frequency f_a does it appear in the samples? Give it in Hz.

f = 1.35 kHzf_s = 1 kHz

f_a = Hz

5.Hard

A temperature sensor gives 10 mV/°C (0 V at 0 °C). Its signal is amplified 5 times and fed to a 12-bit ADC with a range of 0 to 2.5 V (1 LSB = V_FSR/2ᴺ). Find the temperature change ΔT_LSB that corresponds to one LSB.

S = 10 mV/°CG = 5N = 12V_FSR = 2.5 V

ΔT_LSB = °C

6.Hard

A microcontroller with an 8 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 = 8 MHztarget = 19200 Bd

e = %

Answer key

1. f_N = 20 kHz
2. e_q,max = 0.1526 mV
3. N = 8
4. f_a = 350 Hz
5. ΔT_LSB = 0.01221 °C
6. e = 0.1603 %

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