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 = 1210 V2ᴺ − 101 LSB

A 12-bit ADC that rounds to the nearest code has an input range of 0 to 10 V. With 1 LSB = VFSR/2ᴺ, find the largest quantisation error eq,max in mV.

N = 12VFSR = 10 V
eq,max = mV
2.Easy
f0fN​ = ?25 kHz

An ADC samples at 25 kHz. Find the Nyquist frequency fN, the highest signal frequency it can represent without aliasing.

fs = 25 kHz
fN = kHz
3.Medium
SD0​D1​D2​D3​D4​D5​D6​D7​PTb​11·Tb​4800 Bd, 8E1

A UART sends bytes at 4800 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 = 4800 Bd8E1
RB = B/s
4.Medium
Vin​N = ?1000 kPa2ᴺ − 10≤ 1 kPa

A sensor measures pressure over a span of 1000 kPa, and its output fills the whole input range of an ADC. The reading must resolve 1 kPa. Find the smallest number of bits N the ADC needs.

span = 1000 kParesolution = 1 kPa
N =
5.Hard
SD0​D1​D2​D3​D4​D5​D6​D7​1/fbaud​10 MHz / (16·D)

A microcontroller with a 10 MHz clock sets its UART baud rate as fclk/(16·D), with D a whole number rounded to the nearest value. The target is 38400 baud. Find the percentage error of the real baud rate (positive when it is too fast).

fclk = 10 MHztarget = 38400 Bd
e = %
6.Hard
SD0​D1​D2​D3​D4​D5​D6​D7​1/fbaud​4 MHz / (16·D)

A microcontroller with a 4 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 = 4 MHztarget = 57600 Bd
e = %

Answer key

  1. 1. eq,max = 1.221 mV
  2. 2. fN = 12.5 kHz
  3. 3. RB = 436.4 B/s
  4. 4. N = 10
  5. 5. e = 1.725 %
  6. 6. e = 8.507 %

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