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 = 163.3 V2ᴺ − 101 LSB

A 16-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 = 16VFSR = 3.3 V
eq,max = mV
2.Easy
SD0​D1​D2​D3​D4​D5​D6​D7​Tb​ = ?38400 Bd

A UART link runs at 38400 baud. Find the duration Tb of one bit, in µs.

baud = 38400 Bd
Tb = µs
3.Medium
Vin​N = 10VFSR​2ᴺ − 101 LSB

Find the ideal signal-to-quantisation-noise ratio SQNR of a 10-bit ADC for a full-scale sine wave.

N = 10
SQNR = dB
4.Medium
Vin​N = 125 V2ᴺ − 101 LSB1.113 V?

A 12-bit ADC with an input range of 0 to 5 V truncates: its output code is ⌊Vin/LSB⌋ with 1 LSB = VFSR/2ᴺ. Find the decimal output code D for an input of 1.113 V.

N = 12VFSR = 5 VVin = 1.113 V
D =
5.Hard
Vin​N = ?VFSR​2ᴺ − 101 LSB

An audio measurement needs an ideal signal-to-quantisation-noise ratio of at least 85 dB for a full-scale sine wave. Find the smallest number of ADC bits N.

SQNR ≥ 85 dB
N =
6.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 115200 baud. Find the percentage error of the real baud rate (positive when it is too fast).

fclk = 10 MHztarget = 115200 Bd
e = %

Answer key

  1. 1. eq,max = 0.02518 mV
  2. 2. Tb = 26.04 µs
  3. 3. SQNR = 61.96 dB
  4. 4. D = 911
  5. 5. N = 14
  6. 6. e = 8.507 %

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