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
Vin​N = 165 V2ᴺ − 101 LSB = ?

A 16-bit ADC has an input range of 0 to 5 V. Taking 1 LSB = VFSR/2ᴺ, find the size of one LSB in mV.

N = 16VFSR = 5 V
1 LSB = mV
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
tTs​ = 1/fs​f = 5.6 kHzfs​ = 8 kHz

A 5.6 kHz sine wave is sampled at 8 kHz without an anti-aliasing filter. At which frequency fa does it appear in the samples? Give it in Hz.

f = 5.6 kHzfs = 8 kHz
fa = Hz
4.Medium
Vin​N = 16VFSR​2ᴺ − 101 LSB

Find the ideal signal-to-quantisation-noise ratio SQNR of a 16-bit ADC for a full-scale sine wave.

N = 16
SQNR = dB
5.Hard
SD0​D1​D2​D3​D4​D5​D6​D7​Tb​10·Tb​460800 Bd, 8N1

A 12-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 = 128N1
fmax = Hz
6.Hard
f0fs​/2fs​900 Hz5f₁?

A 900 Hz square wave is sampled at 5 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 = 900 Hzfs = 5 kHzharmonic: 5f₁
fa = Hz

Answer key

  1. 1. 1 LSB = 0.07629 mV
  2. 2. Tb = 833.3 µs
  3. 3. fa = 2400 Hz
  4. 4. SQNR = 98.08 dB
  5. 5. fmax = 11520 Hz
  6. 6. fa = 500 Hz

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