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 = 163.3 V2ᴺ − 101 LSB = ?

A 16-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 = 16VFSR = 3.3 V
1 LSB = mV
2.Easy
SD0​D1​D2​D3​D4​D5​D6​D7​Tb​ = ?57600 Bd

A UART link runs at 57600 baud. Find the duration Tb of one bit, in µs.

baud = 57600 Bd
Tb = µs
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
Vin​N = 12VFSR​2ᴺ − 101 LSB

Find the ideal signal-to-quantisation-noise ratio SQNR of a 12-bit ADC for a full-scale sine wave.

N = 12
SQNR = dB
5.Hard
T10 mV/°C×10∿01N = 12, 2.5 V? °C/LSB

A temperature sensor gives 10 mV/°C (0 V at 0 °C). Its signal is amplified 10 times and fed to a 12-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 = 10 mV/°CG = 10N = 12VFSR = 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 100 dB for a full-scale sine wave. Find the smallest number of ADC bits N.

SQNR ≥ 100 dB
N =

Answer key

  1. 1. 1 LSB = 0.05035 mV
  2. 2. Tb = 17.36 µs
  3. 3. SQNR = 49.92 dB
  4. 4. SQNR = 74 dB
  5. 5. ΔTLSB = 0.006104 °C
  6. 6. N = 17

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