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
SD0​D1​D2​D3​D4​D5​D6​D7​Tb​ = ?19200 Bd

A UART link runs at 19200 baud. Find the duration Tb of one bit, in µs.

baud = 19200 Bd
Tb = µs
2.Easy
f0fN​ = ?12 kHz

An ADC samples at 12 kHz. Find the Nyquist frequency fN, the highest signal frequency it can represent without aliasing.

fs = 12 kHz
fN = kHz
3.Medium
Vin​N = 8VFSR​2ᴺ − 101 LSB

Find the ideal signal-to-quantisation-noise ratio SQNR of an 8-bit ADC for a full-scale sine wave.

N = 8
SQNR = dB
4.Medium
∿01N = 1225 kHz? MB

A recorder samples one channel at 25 kHz with a 12-bit ADC. Each sample is stored in whole bytes. Find the memory M needed for a 2 min recording, in MB (1 MB = 10⁶ bytes).

n = 1fs = 25 kHzN = 12t = 2 min
M = MB
5.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 115200 baud. Find the percentage error of the real baud rate (positive when it is too fast).

fclk = 24 MHztarget = 115200 Bd
e = %
6.Hard
1216⋮16 ch∿01tc​ = 4 µstset​ = 5 µsfs​ = ?

A 16-channel multiplexer feeds one ADC. Each conversion takes 4 µs, and after every channel switch the input needs 5 µs to settle. The channels are scanned in turn without pause. Find the sampling rate fs of each channel, in kHz.

n = 16tc = 4 µstset = 5 µs
fs = kHz

Answer key

  1. 1. Tb = 52.08 µs
  2. 2. fN = 6 kHz
  3. 3. SQNR = 49.92 dB
  4. 4. M = 6 MB
  5. 5. e = 0.1603 %
  6. 6. fs = 6.944 kHz

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