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
f0fs​/2fs​ = ?15 kHz

A sensor signal contains frequencies up to 15 kHz. Find the minimum sampling rate fs,min that captures it without aliasing.

fmax = 15 kHz
fs,min = kHz
2.Easy
Vin​N = 101 V2ᴺ − 101 LSB

A 10-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 = 10VFSR = 1 V
eq,max = mV
3.Medium
Vin​N = 1210 V2ᴺ − 101 LSB1.551 V?

A 12-bit ADC with an input range of 0 to 10 V truncates: its output code is ⌊Vin/LSB⌋ with 1 LSB = VFSR/2ᴺ. Find the decimal output code D for an input of 1.551 V.

N = 12VFSR = 10 VVin = 1.551 V
D =
4.Medium
SD0​D1​D2​D3​D4​D5​D6​D7​Tb​11·Tb​19200 Bd, 8N2

A UART sends bytes at 19200 baud in the format 8N2: 8 data bits, no parity and 2 stop bit(s), plus the start bit. Find the largest number of data bytes per second it can transfer.

baud = 19200 Bd8N2
RB = B/s
5.Hard
f0fs​/2fs​600 Hz7f₁?

A 600 Hz square wave is sampled at 5 kHz with no anti-aliasing filter. A square wave contains the odd harmonics 3f₁, 5f₁, 7f₁, … At which frequency fa does its harmonic 7f₁ appear in the sampled data? Give it in Hz.

f₁ = 600 Hzfs = 5 kHzharmonic: 7f₁
fa = Hz
6.Hard
T5 mV/°C×1∿01N = 10, 10 V? °C/LSB

A temperature sensor gives 5 mV/°C (0 V at 0 °C). Its signal is amplified 1 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 = 5 mV/°CG = 1N = 10VFSR = 10 V
ΔTLSB = °C

Answer key

  1. 1. fs,min = 30 kHz
  2. 2. eq,max = 0.4883 mV
  3. 3. D = 635
  4. 4. RB = 1745 B/s
  5. 5. fa = 800 Hz
  6. 6. ΔTLSB = 1.953 °C

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