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​ = ?57600 Bd

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

baud = 57600 Bd
Tb = µs
2.Easy
f0fs​/2fs​ = ?8 kHz

A sensor signal contains frequencies up to 8 kHz. Find the minimum sampling rate fs,min that captures it without aliasing.

fmax = 8 kHz
fs,min = kHz
3.Medium
Vin​N = 14VFSR​2ᴺ − 101 LSB

Find the ideal signal-to-quantisation-noise ratio SQNR of a 14-bit ADC for a full-scale sine wave.

N = 14
SQNR = dB
4.Medium
∿01N = 2420 kHz? MB

A recorder samples one channel at 20 kHz with a 24-bit ADC. Each sample is stored in whole bytes. Find the memory M needed for a 15 min recording, in MB (1 MB = 10⁶ bytes).

n = 1fs = 20 kHzN = 24t = 15 min
M = MB
5.Hard
T20 mV/°C×2∿01N = 10, 10 V? °C/LSB

A temperature sensor gives 20 mV/°C (0 V at 0 °C). Its signal is amplified 2 times and fed to a 10-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 = 20 mV/°CG = 2N = 10VFSR = 10 V
ΔTLSB = °C
6.Hard
1216⋮16 ch∿01tc​ = 1 µstset​ = 0.5 µsfs​ = ?

A 16-channel multiplexer feeds one ADC. Each conversion takes 1 µs, and after every channel switch the input needs 0.5 µs to settle. The channels are scanned in turn without pause. Find the sampling rate fs of each channel, in kHz.

n = 16tc = 1 µstset = 0.5 µs
fs = kHz

Answer key

  1. 1. Tb = 17.36 µs
  2. 2. fs,min = 16 kHz
  3. 3. SQNR = 86.04 dB
  4. 4. M = 54 MB
  5. 5. ΔTLSB = 0.2441 °C
  6. 6. fs = 41.67 kHz

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