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​ = ?0.5 kHz

A sensor signal contains frequencies up to 0.5 kHz. Find the minimum sampling rate fs,min that captures it without aliasing.

fmax = 0.5 kHz
fs,min = kHz
2.Easy
∿01N = 1244.1 kHz? kbit/s

A data logger samples one channel at 44.1 kHz with 12-bit resolution. Find the raw data rate Rb in kbit/s.

n = 1fs = 44.1 kHzN = 12
Rb = kbit/s
3.Medium
SD0​D1​D2​D3​D4​D5​D6​D7​Tb​10·Tb​2400 Bd, 8N1

A UART sends bytes at 2400 baud in the format 8N1: 8 data bits, no parity and 1 stop bit(s), plus the start bit. Find the largest number of data bytes per second it can transfer.

baud = 2400 Bd8N1
RB = B/s
4.Medium
128⋮8 ch∿01N = 1225 kHz? MB

A recorder samples 8 channels at 25 kHz each with a 12-bit ADC. Each sample is stored in whole bytes. Find the memory M needed for a 1 min recording, in MB (1 MB = 10⁶ bytes).

n = 8fs = 25 kHzN = 12t = 1 min
M = MB
5.Hard
f0fs​/2fs​600 Hz5f₁?

A 600 Hz square wave is sampled at 2 kHz with no anti-aliasing filter. A square wave contains the odd harmonics 3f₁, 5f₁, 7f₁, … At which frequency fa does its harmonic 5f₁ appear in the sampled data? Give it in Hz.

f₁ = 600 Hzfs = 2 kHzharmonic: 5f₁
fa = Hz
6.Hard
T5 mV/°C×10∿01N = 10, 3.3 V? °C/LSB

A temperature sensor gives 5 mV/°C (0 V at 0 °C). Its signal is amplified 10 times and fed to a 10-bit ADC with a range of 0 to 3.3 V (1 LSB = VFSR/2ᴺ). Find the temperature change ΔTLSB that corresponds to one LSB.

S = 5 mV/°CG = 10N = 10VFSR = 3.3 V
ΔTLSB = °C

Answer key

  1. 1. fs,min = 1 kHz
  2. 2. Rb = 529.2 kbit/s
  3. 3. RB = 240 B/s
  4. 4. M = 24 MB
  5. 5. fa = 1000 Hz
  6. 6. ΔTLSB = 0.06445 °C

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