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

N = 12VFSR = 10 V
1 LSB = mV
2.Easy
Vin​N = 143.3 V2ᴺ − 101 LSB = ?

A 14-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 = 14VFSR = 3.3 V
1 LSB = mV
3.Medium
SD0​D1​D2​D3​D4​D5​D6​D7​Tb​10·Tb​19200 Bd, 8N1

A UART sends bytes at 19200 baud in the format 8N1: 8 data bits, no parity and 1 stop bit(s), plus the start bit. Find the largest number of data bytes per second it can transfer.

baud = 19200 Bd8N1
RB = B/s
4.Medium
Vin​N = ?5 V2ᴺ − 10≤ 0.5 mV

An ADC with an input range of 0 to 5 V must resolve steps of 0.5 mV or smaller. Find the smallest number of bits N.

VFSR = 5 Vresolution = 0.5 mV
N =
5.Hard
Vin​N = ?VFSR​2ᴺ − 101 LSB

An audio measurement needs an ideal signal-to-quantisation-noise ratio of at least 65 dB for a full-scale sine wave. Find the smallest number of ADC bits N.

SQNR ≥ 65 dB
N =
6.Hard
1216⋮16 ch∿01tc​ = 2.5 µstset​ = 2.5 µsfs​ = ?

A 16-channel multiplexer feeds one ADC. Each conversion takes 2.5 µs, and after every channel switch the input needs 2.5 µs to settle. The channels are scanned in turn without pause. Find the sampling rate fs of each channel, in kHz.

n = 16tc = 2.5 µstset = 2.5 µs
fs = kHz

Answer key

  1. 1. 1 LSB = 2.441 mV
  2. 2. 1 LSB = 0.2014 mV
  3. 3. RB = 1920 B/s
  4. 4. N = 14
  5. 5. N = 11
  6. 6. fs = 12.5 kHz

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