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​ = ?5 kHz

An ADC samples at 5 kHz. Find the Nyquist frequency fN, the highest signal frequency it can represent without aliasing.

fs = 5 kHz
fN = kHz
2.Easy
f0fs​/2fs​ = ?3 kHz

A sensor signal contains frequencies up to 3 kHz. Find the minimum sampling rate fs,min that captures it without aliasing.

fmax = 3 kHz
fs,min = kHz
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 = 8VFSR​2ᴺ − 101 LSB

Find the ideal signal-to-quantisation-noise ratio SQNR of an 8-bit ADC for a full-scale sine wave.

N = 8
SQNR = dB
5.Hard
Vin​N = ?VFSR​2ᴺ − 101 LSB

An audio measurement needs an ideal signal-to-quantisation-noise ratio of at least 70 dB for a full-scale sine wave. Find the smallest number of ADC bits N.

SQNR ≥ 70 dB
N =
6.Hard
SD0​D1​D2​D3​D4​D5​D6​D7​1/fbaud​2 MHz / (16·D)

A microcontroller with a 2 MHz clock sets its UART baud rate as fclk/(16·D), with D a whole number rounded to the nearest value. The target is 57600 baud. Find the percentage error of the real baud rate (positive when it is too fast).

fclk = 2 MHztarget = 57600 Bd
e = %

Answer key

  1. 1. fN = 2.5 kHz
  2. 2. fs,min = 6 kHz
  3. 3. RB = 218.2 B/s
  4. 4. SQNR = 49.92 dB
  5. 5. N = 12
  6. 6. e = 8.507 %

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