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
∿01N = 2450 kHz? kbit/s

A data logger samples one channel at 50 kHz with 24-bit resolution. Find the raw data rate Rb in kbit/s.

n = 1fs = 50 kHzN = 24
Rb = kbit/s
2.Easy
Vin​N = 103.3 V2ᴺ − 101 LSB = ?

A 10-bit ADC has an input range of 0 to 3.3 V. Taking 1 LSB = VFSR/2ᴺ, find the size of one LSB in mV.

N = 10VFSR = 3.3 V
1 LSB = mV
3.Medium
tTs​ = 1/fs​f = 62.5 kHzfs​ = 50 kHz

A 62.5 kHz sine wave is sampled at 50 kHz without an anti-aliasing filter. At which frequency fa does it appear in the samples? Give it in kHz.

f = 62.5 kHzfs = 50 kHz
fa = kHz
4.Medium
Vin​N = ?1 V2ᴺ − 10≤ 1 mV

An ADC with an input range of 0 to 1 V must resolve steps of 1 mV or smaller. Find the smallest number of bits N.

VFSR = 1 Vresolution = 1 mV
N =
5.Hard
SD0​D1​D2​D3​D4​D5​D6​D7​1/fbaud​8 MHz / (16·D)

A microcontroller with an 8 MHz clock sets its UART baud rate as fclk/(16·D), with D a whole number rounded to the nearest value. The target is 2400 baud. Find the percentage error of the real baud rate (positive when it is too fast).

fclk = 8 MHztarget = 2400 Bd
e = %
6.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 =

Answer key

  1. 1. Rb = 1200 kbit/s
  2. 2. 1 LSB = 3.223 mV
  3. 3. fa = 12.5 kHz
  4. 4. N = 10
  5. 5. e = 0.1603 %
  6. 6. N = 12

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