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 sensor signal contains frequencies up to 22 kHz. Find the minimum sampling rate f_s,min that captures it without aliasing.

f_max = 22 kHz

f_s,min = kHz

2.Easy

A 12-bit ADC has an input range of 0 to 5 V. Taking 1 LSB = V_FSR/2ᴺ, find the size of one LSB in mV.

N = 12V_FSR = 5 V

1 LSB = mV

3.Medium

A UART sends bytes at 19200 baud in the format 8N2: 8 data bits, no parity and 2 stop bit(s), plus the start bit. Find the largest number of data bytes per second it can transfer.

baud = 19200 Bd8N2

R_B = B/s

4.Medium

A recorder samples 4 channels at 20 kHz each with a 24-bit ADC. Each sample is stored in whole bytes. Find the memory M needed for a 30 min recording, in MB (1 MB = 10⁶ bytes).

n = 4f_s = 20 kHzN = 24t = 30 min

M = MB

5.Hard

A 2-channel multiplexer feeds one ADC. Each conversion takes 10 µs, and after every channel switch the input needs 0.5 µs to settle. The channels are scanned in turn without pause. Find the sampling rate f_s of each channel, in kHz.

n = 2t_c = 10 µst_set = 0.5 µs

f_s = kHz

6.Hard

An audio measurement needs an ideal signal-to-quantisation-noise ratio of at least 75 dB for a full-scale sine wave. Find the smallest number of ADC bits N.

SQNR ≥ 75 dB

N =

Answer key

1. f_s,min = 44 kHz
2. 1 LSB = 1.221 mV
3. R_B = 1745 B/s
4. M = 432 MB
5. f_s = 47.62 kHz
6. N = 13

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