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​ = ?4800 Bd

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

baud = 4800 Bd
Tb = µs
2.Easy
SD0​D1​D2​D3​D4​D5​D6​D7​Tb​ = ?1200 Bd

A UART link runs at 1200 baud. Find the duration Tb of one bit, in µs.

baud = 1200 Bd
Tb = µs
3.Medium
SD0​D1​D2​D3​D4​D5​D6​D7​PTb​11·Tb​19200 Bd, 8E1

A UART sends bytes at 19200 baud in the format 8E1: 8 data bits, an even parity bit and 1 stop bit(s), plus the start bit. Find the largest number of data bytes per second it can transfer.

baud = 19200 Bd8E1
RB = B/s
4.Medium
124⋮4 ch∿01N = 1625 kHz? MB

A recorder samples 4 channels at 25 kHz each with a 16-bit ADC. Each sample is stored in whole bytes. Find the memory M needed for a 30 min recording, in MB (1 MB = 10⁶ bytes).

n = 4fs = 25 kHzN = 16t = 30 min
M = MB
5.Hard
T5 mV/°C×10∿01N = 12, 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 12-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 = 12VFSR = 3.3 V
ΔTLSB = °C
6.Hard
f0fs​/2fs​1.6 kHz3f₁?

A 1.6 kHz square wave is sampled at 8 kHz with no anti-aliasing filter. A square wave contains the odd harmonics 3f₁, 5f₁, 7f₁, … At which frequency fa does its harmonic 3f₁ appear in the sampled data? Give it in Hz.

f₁ = 1.6 kHzfs = 8 kHzharmonic: 3f₁
fa = Hz

Answer key

  1. 1. Tb = 208.3 µs
  2. 2. Tb = 833.3 µs
  3. 3. RB = 1745 B/s
  4. 4. M = 360 MB
  5. 5. ΔTLSB = 0.01611 °C
  6. 6. fa = 3200 Hz

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