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
f0fs​/2fs​ = ?2 kHz

A sensor signal contains frequencies up to 2 kHz. Find the minimum sampling rate fs,min that captures it without aliasing.

fmax = 2 kHz
fs,min = kHz
2.Easy
SD0​D1​D2​D3​D4​D5​D6​D7​Tb​ = ?19200 Bd

A UART link runs at 19200 baud. Find the duration Tb of one bit, in µs.

baud = 19200 Bd
Tb = µs
3.Medium
Vin​N = 18VFSR​2ᴺ − 101 LSB

Find the ideal signal-to-quantisation-noise ratio SQNR of an 18-bit ADC for a full-scale sine wave.

N = 18
SQNR = dB
4.Medium
SD0​D1​D2​D3​D4​D5​D6​D7​Tb​11·Tb​57600 Bd, 8N2

A UART sends bytes at 57600 baud in the format 8N2: 8 data bits, no parity and 2 stop bit(s), plus the start bit. Find the largest number of data bytes per second it can transfer.

baud = 57600 Bd8N2
RB = B/s
5.Hard
Vin​N = ?VFSR​2ᴺ − 101 LSB

An audio measurement needs an ideal signal-to-quantisation-noise ratio of at least 40 dB for a full-scale sine wave. Find the smallest number of ADC bits N.

SQNR ≥ 40 dB
N =
6.Hard
SD0​D1​D2​D3​D4​D5​D6​D7​Tb​10·Tb​9600 Bd, 8N1

A 12-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 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 = 9600 BdN = 128N1
fmax = Hz

Answer key

  1. 1. fs,min = 4 kHz
  2. 2. Tb = 52.08 µs
  3. 3. SQNR = 110.1 dB
  4. 4. RB = 5236 B/s
  5. 5. N = 7
  6. 6. fmax = 240 Hz

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