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
f0fN​ = ?1 kHz

An ADC samples at 1 kHz. Find the Nyquist frequency fN, the highest signal frequency it can represent without aliasing.

fs = 1 kHz
fN = kHz
2.Easy
123⋮3 ch∿01N = 850 kHz? kbit/s

A data logger samples 3 channels, each at 50 kHz with 8-bit resolution. Find the raw data rate Rb in kbit/s.

n = 3fs = 50 kHzN = 8
Rb = kbit/s
3.Medium
SD0​D1​D2​D3​D4​D5​D6​D7​PTb​11·Tb​2400 Bd, 8E1

A UART sends bytes at 2400 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 = 2400 Bd8E1
RB = B/s
4.Medium
Vin​N = ?1 V2ᴺ − 10≤ 1 mV

An ADC with an input range of 0 to 1 V must resolve steps of 1 mV or smaller. Find the smallest number of bits N.

VFSR = 1 Vresolution = 1 mV
N =
5.Hard
f0fs​/2fs​9 kHz5f₁?

A 9 kHz square wave is sampled at 50 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 kHz.

f₁ = 9 kHzfs = 50 kHzharmonic: 5f₁
fa = kHz
6.Hard
SD0​D1​D2​D3​D4​D5​D6​D7​Tb​10·Tb​460800 Bd, 8N1

A 10-bit ADC streams every sample over a UART at 460800 baud, format 8N1 (start bit, 8 data bits, 1 stop bit). Each sample is sent as 2 whole byte(s) and the link is busy all the time. Find the highest signal frequency fmax that can be sampled without aliasing, in Hz.

baud = 460800 BdN = 108N1
fmax = Hz

Answer key

  1. 1. fN = 0.5 kHz
  2. 2. Rb = 1200 kbit/s
  3. 3. RB = 218.2 B/s
  4. 4. N = 10
  5. 5. fa = 5 kHz
  6. 6. fmax = 11520 Hz

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