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
f0fs​/2fs​ = ?15 kHz

A sensor signal contains frequencies up to 15 kHz. Find the minimum sampling rate fs,min that captures it without aliasing.

fmax = 15 kHz
fs,min = kHz
2.Easy
f0fN​ = ?4 kHz

An ADC samples at 4 kHz. Find the Nyquist frequency fN, the highest signal frequency it can represent without aliasing.

fs = 4 kHz
fN = kHz
3.Medium
tTs​ = 1/fs​f = 5.5 kHzfs​ = 5 kHz

A 5.5 kHz sine wave is sampled at 5 kHz without an anti-aliasing filter. At which frequency fa does it appear in the samples? Give it in Hz.

f = 5.5 kHzfs = 5 kHz
fa = Hz
4.Medium
Vin​N = 18VFSR​2ᴺ − 101 LSB

Find the ideal signal-to-quantisation-noise ratio SQNR of an 18-bit ADC for a full-scale sine wave.

N = 18
SQNR = dB
5.Hard
SD0​D1​D2​D3​D4​D5​D6​D7​1/fbaud​32 MHz / (16·D)

A microcontroller with a 32 MHz clock sets its UART baud rate as fclk/(16·D), with D a whole number rounded to the nearest value. The target is 9600 baud. Find the percentage error of the real baud rate (positive when it is too fast).

fclk = 32 MHztarget = 9600 Bd
e = %
6.Hard
126⋮6 ch∿01tc​ = 1 µstset​ = 1 µsfs​ = ?

A 6-channel multiplexer feeds one ADC. Each conversion takes 1 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 fs of each channel, in kHz.

n = 6tc = 1 µstset = 1 µs
fs = kHz

Answer key

  1. 1. fs,min = 30 kHz
  2. 2. fN = 2 kHz
  3. 3. fa = 500 Hz
  4. 4. SQNR = 110.1 dB
  5. 5. e = 0.1603 %
  6. 6. fs = 83.33 kHz

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