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 UART link runs at 115200 baud. Find the duration T_b of one bit, in µs.

baud = 115200 Bd

T_b = µs

2.Easy

An ADC samples at 5 kHz. Find the Nyquist frequency f_N, the highest signal frequency it can represent without aliasing.

f_s = 5 kHz

f_N = kHz

3.Medium

A UART sends bytes at 38400 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 = 38400 Bd8E1

R_B = B/s

4.Medium

A 650 Hz 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 = 650 Hzf_s = 1 kHz

f_a = Hz

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 115200 baud. Find the percentage error of the real baud rate (positive when it is too fast).

f_clk = 20 MHztarget = 115200 Bd

e = %

6.Hard

A temperature sensor gives 20 mV/°C (0 V at 0 °C). Its signal is amplified 1 times and fed to an 8-bit ADC with a range of 0 to 10 V (1 LSB = V_FSR/2ᴺ). Find the temperature change ΔT_LSB that corresponds to one LSB.

S = 20 mV/°CG = 1N = 8V_FSR = 10 V

ΔT_LSB = °C

Answer key

1. T_b = 8.681 µs
2. f_N = 2.5 kHz
3. R_B = 3491 B/s
4. f_a = 350 Hz
5. e = −1.357 %
6. ΔT_LSB = 1.953 °C

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