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​ = ?25 kHz

An ADC samples at 25 kHz. Find the Nyquist frequency fN, the highest signal frequency it can represent without aliasing.

fs = 25 kHz
fN = kHz
2.Easy
f0fs​/2fs​ = ?5 kHz

A sensor signal contains frequencies up to 5 kHz. Find the minimum sampling rate fs,min that captures it without aliasing.

fmax = 5 kHz
fs,min = kHz
3.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
4.Medium
Vin​N = 102.5 V2ᴺ − 101 LSB0.663 V?

A 10-bit ADC with an input range of 0 to 2.5 V truncates: its output code is ⌊Vin/LSB⌋ with 1 LSB = VFSR/2ᴺ. Find the decimal output code D for an input of 0.663 V.

N = 10VFSR = 2.5 VVin = 0.663 V
D =
5.Hard
T5 mV/°C×10∿01N = 10, 5 V? °C/LSB

A temperature sensor gives 5 mV/°C (0 V at 0 °C). Its signal is amplified 10 times and fed to a 10-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 = 5 mV/°CG = 10N = 10VFSR = 5 V
ΔTLSB = °C
6.Hard
1216⋮16 ch∿01tc​ = 4 µstset​ = 1 µsfs​ = ?

A 16-channel multiplexer feeds one ADC. Each conversion takes 4 µs, and after every channel switch the input needs 1 µs to settle. The channels are scanned in turn without pause. Find the sampling rate fs of each channel, in kHz.

n = 16tc = 4 µstset = 1 µs
fs = kHz

Answer key

  1. 1. fN = 12.5 kHz
  2. 2. fs,min = 10 kHz
  3. 3. SQNR = 74 dB
  4. 4. D = 271
  5. 5. ΔTLSB = 0.09766 °C
  6. 6. fs = 12.5 kHz

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