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

f_s = 25 kHz

f_N = kHz

2.Easy

A sensor signal contains frequencies up to 25 kHz. Find the minimum sampling rate f_s,min that captures it without aliasing.

f_max = 25 kHz

f_s,min = kHz

3.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

4.Medium

A UART sends bytes at 9600 baud in the format 8N1: 8 data bits, no parity and 1 stop bit(s), plus the start bit. Find the largest number of data bytes per second it can transfer.

baud = 9600 Bd8N1

R_B = B/s

5.Hard

A microcontroller with a 24 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 38400 baud. Find the percentage error of the real baud rate (positive when it is too fast).

f_clk = 24 MHztarget = 38400 Bd

e = %

6.Hard

A temperature sensor gives 10 mV/°C (0 V at 0 °C). Its signal is amplified 2.5 times and fed to a 12-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 = 10 mV/°CG = 2.5N = 12V_FSR = 10 V

ΔT_LSB = °C

Answer key

1. f_N = 12.5 kHz
2. f_s,min = 50 kHz
3. R_B = 109.1 B/s
4. R_B = 960 B/s
5. e = 0.1603 %
6. ΔT_LSB = 0.09766 °C

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