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 = 85 V2ᴺ − 101 LSB

An 8-bit ADC that rounds to the nearest code has an input range of 0 to 5 V. With 1 LSB = VFSR/2ᴺ, find the largest quantisation error eq,max in mV.

N = 8VFSR = 5 V
eq,max = mV
2.Easy
Vin​N = 165 V2ᴺ − 101 LSB

A 16-bit ADC that rounds to the nearest code has an input range of 0 to 5 V. With 1 LSB = VFSR/2ᴺ, find the largest quantisation error eq,max in mV.

N = 16VFSR = 5 V
eq,max = mV
3.Medium
SD0​D1​D2​D3​D4​D5​D6​D7​PTb​11·Tb​9600 Bd, 8E1

A UART sends bytes at 9600 baud in the format 8E1: 8 data bits, an even parity bit and 1 stop bit(s), plus the start bit. Find the largest number of data bytes per second it can transfer.

baud = 9600 Bd8E1
RB = B/s
4.Medium
128⋮8 ch∿01N = 1610 kHz? MB

A recorder samples 8 channels at 10 kHz each with a 16-bit ADC. Each sample is stored in whole bytes. Find the memory M needed for a 2 min recording, in MB (1 MB = 10⁶ bytes).

n = 8fs = 10 kHzN = 16t = 2 min
M = MB
5.Hard
f0fs​/2fs​1.5 kHz7f₁?

A 1.5 kHz square wave is sampled at 10 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 kHz.

f₁ = 1.5 kHzfs = 10 kHzharmonic: 7f₁
fa = kHz
6.Hard
T5 mV/°C×20∿01N = 12, 2.5 V? °C/LSB

A temperature sensor gives 5 mV/°C (0 V at 0 °C). Its signal is amplified 20 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 = 5 mV/°CG = 20N = 12VFSR = 2.5 V
ΔTLSB = °C

Answer key

  1. 1. eq,max = 9.766 mV
  2. 2. eq,max = 0.03815 mV
  3. 3. RB = 872.7 B/s
  4. 4. M = 19.2 MB
  5. 5. fa = 0.5 kHz
  6. 6. ΔTLSB = 0.006104 °C

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