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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Name: ____________________   Date: ____________

1.Easy
f0fN​ = ?44.1 kHz

An ADC samples at 44.1 kHz. Find the Nyquist frequency fN, the highest signal frequency it can represent without aliasing.

fs = 44.1 kHz
fN = kHz
2.Easy
∿01N = 1648 kHz? kbit/s

A data logger samples one channel at 48 kHz with 16-bit resolution. Find the raw data rate Rb in kbit/s.

n = 1fs = 48 kHzN = 16
Rb = kbit/s
3.Medium
tTs​ = 1/fs​f = 6.25 kHzfs​ = 5 kHz

A 6.25 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 = 6.25 kHzfs = 5 kHz
fa = Hz
4.Medium
tTs​ = 1/fs​f = 11 kHzfs​ = 10 kHz

An 11 kHz sine wave is sampled at 10 kHz without an anti-aliasing filter. At which frequency fa does it appear in the samples? Give it in kHz.

f = 11 kHzfs = 10 kHz
fa = kHz
5.Hard
Vin​N = ?VFSR​2ᴺ − 101 LSB

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
SD0​D1​D2​D3​D4​D5​D6​D7​1/fbaud​24 MHz / (16·D)

A microcontroller with a 24 MHz clock sets its UART baud rate as fclk/(16·D), with D a whole number rounded to the nearest value. The target is 38400 baud. Find the percentage error of the real baud rate (positive when it is too fast).

fclk = 24 MHztarget = 38400 Bd
e = %

Answer key

  1. 1. fN = 22.05 kHz
  2. 2. Rb = 768 kbit/s
  3. 3. fa = 1250 Hz
  4. 4. fa = 1 kHz
  5. 5. N = 9
  6. 6. e = 0.1603 %

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