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​ = ?40 kHz

An ADC samples at 40 kHz. Find the Nyquist frequency fN, the highest signal frequency it can represent without aliasing.

fs = 40 kHz
fN = kHz
2.Easy
Vin​N = 82.5 V2ᴺ − 101 LSB = ?

An 8-bit ADC has an input range of 0 to 2.5 V. Taking 1 LSB = VFSR/2ᴺ, find the size of one LSB in mV.

N = 8VFSR = 2.5 V
1 LSB = mV
3.Medium
tTs​ = 1/fs​f = 8.8 kHzfs​ = 8 kHz

An 8.8 kHz sine wave is sampled at 8 kHz without an anti-aliasing filter. At which frequency fa does it appear in the samples? Give it in Hz.

f = 8.8 kHzfs = 8 kHz
fa = Hz
4.Medium
Vin​N = ?1 V2ᴺ − 10≤ 0.2 mV

An ADC with an input range of 0 to 1 V must resolve steps of 0.2 mV or smaller. Find the smallest number of bits N.

VFSR = 1 Vresolution = 0.2 mV
N =
5.Hard
T5 mV/°C×4∿01N = 8, 5 V? °C/LSB

A temperature sensor gives 5 mV/°C (0 V at 0 °C). Its signal is amplified 4 times and fed to an 8-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 = 4N = 8VFSR = 5 V
ΔTLSB = °C
6.Hard
SD0​D1​D2​D3​D4​D5​D6​D7​PTb​11·Tb​9600 Bd, 8E1

A 12-bit ADC streams every sample over a UART at 9600 baud, format 8E1 (start bit, 8 data bits, even parity, 1 stop bit). Each sample is sent as 2 whole byte(s) and the link is busy all the time. Find the highest signal frequency fmax that can be sampled without aliasing, in Hz.

baud = 9600 BdN = 128E1
fmax = Hz

Answer key

  1. 1. fN = 20 kHz
  2. 2. 1 LSB = 9.766 mV
  3. 3. fa = 800 Hz
  4. 4. N = 13
  5. 5. ΔTLSB = 0.9766 °C
  6. 6. fmax = 218.2 Hz

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