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 = 123.3 V2ᴺ − 101 LSB

A 12-bit ADC that rounds to the nearest code has an input range of 0 to 3.3 V. With 1 LSB = VFSR/2ᴺ, find the largest quantisation error eq,max in mV.

N = 12VFSR = 3.3 V
eq,max = mV
2.Easy
f0fN​ = ?20 kHz

An ADC samples at 20 kHz. Find the Nyquist frequency fN, the highest signal frequency it can represent without aliasing.

fs = 20 kHz
fN = kHz
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
Vin​N = ?200 mm2ᴺ − 10≤ 0.2 mm

A sensor measures distance over a span of 200 mm, and its output fills the whole input range of an ADC. The reading must resolve 0.2 mm. Find the smallest number of bits N the ADC needs.

span = 200 mmresolution = 0.2 mm
N =
5.Hard
SD0​D1​D2​D3​D4​D5​D6​D7​Tb​10·Tb​9600 Bd, 8N1

A 24-bit ADC streams every sample over a UART at 9600 baud, format 8N1 (start bit, 8 data bits, 1 stop bit). Each sample is sent as 3 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 = 9600 BdN = 248N1
fmax = Hz
6.Hard
Vin​N = ?VFSR​2ᴺ − 101 LSB

An audio measurement needs an ideal signal-to-quantisation-noise ratio of at least 90 dB for a full-scale sine wave. Find the smallest number of ADC bits N.

SQNR ≥ 90 dB
N =

Answer key

  1. 1. eq,max = 0.4028 mV
  2. 2. fN = 10 kHz
  3. 3. RB = 240 B/s
  4. 4. N = 10
  5. 5. fmax = 160 Hz
  6. 6. N = 15

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