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

f_s = 25 kHz

f_N = kHz

3.Medium

Find the ideal signal-to-quantisation-noise ratio SQNR of a 20-bit ADC for a full-scale sine wave.

N = 20

SQNR = dB

4.Medium

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

n = 4f_s = 1 kHzN = 24t = 1 min

M = MB

5.Hard

A 24-bit ADC streams every sample over a UART at 230400 baud, format 8E1 (start bit, 8 data bits, even parity, 1 stop bit). Each sample is sent as 3 whole byte(s) and the link is busy all the time. Find the highest signal frequency f_max that can be sampled without aliasing, in Hz.

baud = 230400 BdN = 248E1

f_max = Hz

6.Hard

A 6-channel multiplexer feeds one ADC. Each conversion takes 8 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 = 6t_c = 8 µst_set = 0.5 µs

f_s = kHz

Answer key

1. T_b = 8.681 µs
2. f_N = 12.5 kHz
3. SQNR = 122.2 dB
4. M = 0.72 MB
5. f_max = 3491 Hz
6. f_s = 19.61 kHz

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