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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Name: ____________________ Date: ____________

1.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

2.Easy

A sensor signal contains frequencies up to 50 kHz. Find the minimum sampling rate f_s,min that captures it without aliasing.

f_max = 50 kHz

f_s,min = kHz

3.Medium

A 1.4 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 = 1.4 kHzf_s = 1 kHz

f_a = Hz

4.Medium

A UART sends bytes at 115200 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 = 115200 Bd8E1

R_B = B/s

5.Hard

A 4-channel multiplexer feeds one ADC. Each conversion takes 2.5 µs, and after every channel switch the input needs 1 µs to settle. The channels are scanned in turn without pause. Find the sampling rate f_s of each channel, in kHz.

n = 4t_c = 2.5 µst_set = 1 µs

f_s = kHz

6.Hard

An audio measurement needs an ideal signal-to-quantisation-noise ratio of at least 40 dB for a full-scale sine wave. Find the smallest number of ADC bits N.

SQNR ≥ 40 dB

N =

Answer key

1. f_s,min = 50 kHz
2. f_s,min = 100 kHz
3. f_a = 400 Hz
4. R_B = 10473 B/s
5. f_s = 71.43 kHz
6. N = 7

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