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 48 kHz. Find the Nyquist frequency f_N, the highest signal frequency it can represent without aliasing.

f_s = 48 kHz

f_N = kHz

2.Easy

An 8-bit ADC has an input range of 0 to 2.5 V. Taking 1 LSB = V_FSR/2ᴺ, find the size of one LSB in mV.

N = 8V_FSR = 2.5 V

1 LSB = mV

3.Medium

A 28 kHz sine wave is sampled at 20 kHz without an anti-aliasing filter. At which frequency f_a does it appear in the samples? Give it in kHz.

f = 28 kHzf_s = 20 kHz

f_a = kHz

4.Medium

A recorder samples 4 channels at 50 kHz each with a 16-bit ADC. Each sample is stored in whole bytes. Find the memory M needed for a 15 min recording, in MB (1 MB = 10⁶ bytes).

n = 4f_s = 50 kHzN = 16t = 15 min

M = MB

5.Hard

A temperature sensor gives 20 mV/°C (0 V at 0 °C). Its signal is amplified 5 times and fed to a 10-bit ADC with a range of 0 to 3.3 V (1 LSB = V_FSR/2ᴺ). Find the temperature change ΔT_LSB that corresponds to one LSB.

S = 20 mV/°CG = 5N = 10V_FSR = 3.3 V

ΔT_LSB = °C

6.Hard

A microcontroller with a 2 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 = 2 MHztarget = 19200 Bd

e = %

Answer key

1. f_N = 24 kHz
2. 1 LSB = 9.766 mV
3. f_a = 8 kHz
4. M = 360 MB
5. ΔT_LSB = 0.03223 °C
6. e = −6.994 %

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