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
1216⋮16 ch∿01N = 2410 kHz? kbit/s

A data logger samples 16 channels, each at 10 kHz with 24-bit resolution. Find the raw data rate Rb in kbit/s.

n = 16fs = 10 kHzN = 24
Rb = kbit/s
2.Easy
SD0​D1​D2​D3​D4​D5​D6​D7​Tb​ = ?4800 Bd

A UART link runs at 4800 baud. Find the duration Tb of one bit, in µs.

baud = 4800 Bd
Tb = µs
3.Medium
122 ch∿01N = 1220 kHz? MB

A recorder samples 2 channels at 20 kHz each 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 = 2fs = 20 kHzN = 12t = 2 min
M = MB
4.Medium
SD0​D1​D2​D3​D4​D5​D6​D7​PTb​12·Tb​115200 Bd, 8E2

A UART sends bytes at 115200 baud in the format 8E2: 8 data bits, an even parity bit and 2 stop bit(s), plus the start bit. Find the largest number of data bytes per second it can transfer.

baud = 115200 Bd8E2
RB = B/s
5.Hard
f0fs​/2fs​1.8 kHz7f₁?

A 1.8 kHz square wave is sampled at 10 kHz with no anti-aliasing filter. A square wave contains the odd harmonics 3f₁, 5f₁, 7f₁, … At which frequency fa does its harmonic 7f₁ appear in the sampled data? Give it in kHz.

f₁ = 1.8 kHzfs = 10 kHzharmonic: 7f₁
fa = kHz
6.Hard
122 ch∿01tc​ = 10 µstset​ = 2 µsfs​ = ?

A 2-channel multiplexer feeds one ADC. Each conversion takes 10 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 fs of each channel, in kHz.

n = 2tc = 10 µstset = 2 µs
fs = kHz

Answer key

  1. 1. Rb = 3840 kbit/s
  2. 2. Tb = 208.3 µs
  3. 3. M = 9.6 MB
  4. 4. RB = 9600 B/s
  5. 5. fa = 2.6 kHz
  6. 6. fs = 41.67 kHz

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