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 = 81 V2ᴺ − 101 LSB

An 8-bit ADC that rounds to the nearest code has an input range of 0 to 1 V. With 1 LSB = VFSR/2ᴺ, find the largest quantisation error eq,max in mV.

N = 8VFSR = 1 V
eq,max = mV
2.Easy
SD0​D1​D2​D3​D4​D5​D6​D7​Tb​ = ?2400 Bd

A UART link runs at 2400 baud. Find the duration Tb of one bit, in µs.

baud = 2400 Bd
Tb = µs
3.Medium
tTs​ = 1/fs​f = 2.8 kHzfs​ = 4 kHz

A 2.8 kHz sine wave is sampled at 4 kHz without an anti-aliasing filter. At which frequency fa does it appear in the samples? Give it in Hz.

f = 2.8 kHzfs = 4 kHz
fa = Hz
4.Medium
tTs​ = 1/fs​f = 5.6 kHzfs​ = 4 kHz

A 5.6 kHz sine wave is sampled at 4 kHz without an anti-aliasing filter. At which frequency fa does it appear in the samples? Give it in Hz.

f = 5.6 kHzfs = 4 kHz
fa = Hz
5.Hard
Vin​N = ?VFSR​2ᴺ − 101 LSB

An audio measurement needs an ideal signal-to-quantisation-noise ratio of at least 60 dB for a full-scale sine wave. Find the smallest number of ADC bits N.

SQNR ≥ 60 dB
N =
6.Hard
SD0​D1​D2​D3​D4​D5​D6​D7​Tb​10·Tb​115200 Bd, 8N1

A 10-bit ADC streams every sample over a UART at 115200 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 = 115200 BdN = 108N1
fmax = Hz

Answer key

  1. 1. eq,max = 1.953 mV
  2. 2. Tb = 416.7 µs
  3. 3. fa = 1200 Hz
  4. 4. fa = 1600 Hz
  5. 5. N = 10
  6. 6. fmax = 2880 Hz

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