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 = 161 V2ᴺ − 101 LSB

A 16-bit ADC that rounds to the nearest code has an input range of 0 to 1 V. With 1 LSB = VFSR/2ᴺ, find the largest quantisation error eq,max in mV.

N = 16VFSR = 1 V
eq,max = mV
2.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
3.Medium
Vin​N = 18VFSR​2ᴺ − 101 LSB

Find the ideal signal-to-quantisation-noise ratio SQNR of an 18-bit ADC for a full-scale sine wave.

N = 18
SQNR = dB
4.Medium
Vin​N = ?10 V2ᴺ − 10≤ 1 mV

An ADC with an input range of 0 to 10 V must resolve steps of 1 mV or smaller. Find the smallest number of bits N.

VFSR = 10 Vresolution = 1 mV
N =
5.Hard
T1 mV/°C×5∿01N = 8, 10 V? °C/LSB

A temperature sensor gives 1 mV/°C (0 V at 0 °C). Its signal is amplified 5 times and fed to an 8-bit ADC with a range of 0 to 10 V (1 LSB = VFSR/2ᴺ). Find the temperature change ΔTLSB that corresponds to one LSB.

S = 1 mV/°CG = 5N = 8VFSR = 10 V
ΔTLSB = °C
6.Hard
T20 mV/°C×4∿01N = 12, 5 V? °C/LSB

A temperature sensor gives 20 mV/°C (0 V at 0 °C). Its signal is amplified 4 times and fed to a 12-bit ADC with a range of 0 to 5 V (1 LSB = VFSR/2ᴺ). Find the temperature change ΔTLSB that corresponds to one LSB.

S = 20 mV/°CG = 4N = 12VFSR = 5 V
ΔTLSB = °C

Answer key

  1. 1. eq,max = 0.007629 mV
  2. 2. Tb = 416.7 µs
  3. 3. SQNR = 110.1 dB
  4. 4. N = 14
  5. 5. ΔTLSB = 7.813 °C
  6. 6. ΔTLSB = 0.01526 °C

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