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 12-bit ADC that rounds to the nearest code has an input range of 0 to 10 V. With 1 LSB = V_FSR/2ᴺ, find the largest quantisation error e_q,max in mV.

N = 12V_FSR = 10 V

e_q,max = mV

2.Easy

An ADC samples at 20 kHz. Find the Nyquist frequency f_N, the highest signal frequency it can represent without aliasing.

f_s = 20 kHz

f_N = kHz

3.Medium

A 12-bit ADC with an input range of 0 to 2.5 V truncates: its output code is ⌊V_in/LSB⌋ with 1 LSB = V_FSR/2ᴺ. Find the decimal output code D for an input of 0.161 V.

N = 12V_FSR = 2.5 VV_in = 0.161 V

D =

4.Medium

A recorder samples 8 channels at 2 kHz each with a 16-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 = 8f_s = 2 kHzN = 16t = 1 min

M = MB

5.Hard

An audio measurement needs an ideal signal-to-quantisation-noise ratio of at least 55 dB for a full-scale sine wave. Find the smallest number of ADC bits N.

SQNR ≥ 55 dB

N =

6.Hard

A 16-channel multiplexer feeds one ADC. Each conversion takes 8 µs, and after every channel switch the input needs 2 µs to settle. The channels are scanned in turn without pause. Find the sampling rate f_s of each channel, in kHz.

n = 16t_c = 8 µst_set = 2 µs

f_s = kHz

Answer key

1. e_q,max = 1.221 mV
2. f_N = 10 kHz
3. D = 263
4. M = 1.92 MB
5. N = 9
6. f_s = 6.25 kHz

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