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 = 81 V2ᴺ − 101 LSB = ?

An 8-bit ADC has an input range of 0 to 1 V. Taking 1 LSB = VFSR/2ᴺ, find the size of one LSB in mV.

N = 8VFSR = 1 V
1 LSB = mV
2.Easy
Vin​N = 141 V2ᴺ − 101 LSB = ?

A 14-bit ADC has an input range of 0 to 1 V. Taking 1 LSB = VFSR/2ᴺ, find the size of one LSB in mV.

N = 14VFSR = 1 V
1 LSB = mV
3.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
4.Medium
124⋮4 ch∿01N = 2410 kHz? MB

A recorder samples 4 channels at 10 kHz each with a 24-bit ADC. Each sample is stored in whole bytes. Find the memory M needed for a 2 min recording, in MB (1 MB = 10⁶ bytes).

n = 4fs = 10 kHzN = 24t = 2 min
M = MB
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 115200 baud. Find the percentage error of the real baud rate (positive when it is too fast).

fclk = 10 MHztarget = 115200 Bd
e = %
6.Hard
f0fs​/2fs​2fs​2.24 kHz7f₁?

A 2.24 kHz square wave is sampled at 8 kHz with no anti-aliasing filter. A square wave contains the odd harmonics 3f₁, 5f₁, 7f₁, … At which frequency fa does its harmonic 7f₁ appear in the sampled data? Give it in Hz.

f₁ = 2.24 kHzfs = 8 kHzharmonic: 7f₁
fa = Hz

Answer key

  1. 1. 1 LSB = 3.906 mV
  2. 2. 1 LSB = 0.06104 mV
  3. 3. SQNR = 49.92 dB
  4. 4. M = 14.4 MB
  5. 5. e = 8.507 %
  6. 6. fa = 320 Hz

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