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
SD0​D1​D2​D3​D4​D5​D6​D7​Tb​ = ?2400 Bd

A UART link runs at 2400 baud. Find the duration Tb of one bit, in µs.

baud = 2400 Bd
Tb = µs
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
tTs​ = 1/fs​f = 45 kHzfs​ = 50 kHz

A 45 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 = 45 kHzfs = 50 kHz
fa = kHz
4.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
5.Hard
T20 mV/°C×2.5∿01N = 10, 2.5 V? °C/LSB

A temperature sensor gives 20 mV/°C (0 V at 0 °C). Its signal is amplified 2.5 times and fed to a 10-bit ADC with a range of 0 to 2.5 V (1 LSB = VFSR/2ᴺ). Find the temperature change ΔTLSB that corresponds to one LSB.

S = 20 mV/°CG = 2.5N = 10VFSR = 2.5 V
ΔTLSB = °C
6.Hard
Vin​N = ?VFSR​2ᴺ − 101 LSB

An audio measurement needs an ideal signal-to-quantisation-noise ratio of at least 60 dB for a full-scale sine wave. Find the smallest number of ADC bits N.

SQNR ≥ 60 dB
N =

Answer key

  1. 1. Tb = 416.7 µs
  2. 2. 1 LSB = 0.2014 mV
  3. 3. fa = 5 kHz
  4. 4. SQNR = 49.92 dB
  5. 5. ΔTLSB = 0.04883 °C
  6. 6. N = 10

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