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
f0fN​ = ?10 kHz

An ADC samples at 10 kHz. Find the Nyquist frequency fN, the highest signal frequency it can represent without aliasing.

fs = 10 kHz
fN = kHz
2.Easy
SD0​D1​D2​D3​D4​D5​D6​D7​Tb​ = ?38400 Bd

A UART link runs at 38400 baud. Find the duration Tb of one bit, in µs.

baud = 38400 Bd
Tb = µs
3.Medium
Vin​N = ?1 V2ᴺ − 10≤ 0.5 mV

An ADC with an input range of 0 to 1 V must resolve steps of 0.5 mV or smaller. Find the smallest number of bits N.

VFSR = 1 Vresolution = 0.5 mV
N =
4.Medium
Vin​N = 24VFSR​2ᴺ − 101 LSB

Find the ideal signal-to-quantisation-noise ratio SQNR of a 24-bit ADC for a full-scale sine wave.

N = 24
SQNR = dB
5.Hard
T10 mV/°C×5∿01N = 12, 10 V? °C/LSB

A temperature sensor gives 10 mV/°C (0 V at 0 °C). Its signal is amplified 5 times and fed to a 12-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 = 10 mV/°CG = 5N = 12VFSR = 10 V
ΔTLSB = °C
6.Hard
T10 mV/°C×20∿01N = 10, 3.3 V? °C/LSB

A temperature sensor gives 10 mV/°C (0 V at 0 °C). Its signal is amplified 20 times and fed to a 10-bit ADC with a range of 0 to 3.3 V (1 LSB = VFSR/2ᴺ). Find the temperature change ΔTLSB that corresponds to one LSB.

S = 10 mV/°CG = 20N = 10VFSR = 3.3 V
ΔTLSB = °C

Answer key

  1. 1. fN = 5 kHz
  2. 2. Tb = 26.04 µs
  3. 3. N = 11
  4. 4. SQNR = 146.2 dB
  5. 5. ΔTLSB = 0.04883 °C
  6. 6. ΔTLSB = 0.01611 °C

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