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

f_s = 48 kHz

f_N = kHz

2.Easy

A 10-bit ADC has an input range of 0 to 2.5 V. Taking 1 LSB = V_FSR/2ᴺ, find the size of one LSB in mV.

N = 10V_FSR = 2.5 V

1 LSB = mV

3.Medium

A sensor measures distance over a span of 100 mm, and its output fills the whole input range of an ADC. The reading must resolve 0.05 mm. Find the smallest number of bits N the ADC needs.

span = 100 mmresolution = 0.05 mm

N =

4.Medium

Find the ideal signal-to-quantisation-noise ratio SQNR of a 12-bit ADC for a full-scale sine wave.

N = 12

SQNR = dB

5.Hard

A 16-bit ADC streams every sample over a UART at 460800 baud, format 8N1 (start bit, 8 data bits, 1 stop bit). Each sample is sent as 2 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 = 460800 BdN = 168N1

f_max = Hz

6.Hard

A 2-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 = 2t_c = 8 µst_set = 0.5 µs

f_s = kHz

Answer key

1. f_N = 24 kHz
2. 1 LSB = 2.441 mV
3. N = 11
4. SQNR = 74 dB
5. f_max = 11520 Hz
6. f_s = 58.82 kHz

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