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 = 1010 V2ᴺ − 101 LSB = ?

A 10-bit ADC has an input range of 0 to 10 V. Taking 1 LSB = VFSR/2ᴺ, find the size of one LSB in mV.

N = 10VFSR = 10 V
1 LSB = mV
2.Easy
f0fN​ = ?4 kHz

An ADC samples at 4 kHz. Find the Nyquist frequency fN, the highest signal frequency it can represent without aliasing.

fs = 4 kHz
fN = kHz
3.Medium
Vin​N = 8VFSR​2ᴺ − 101 LSB

Find the ideal signal-to-quantisation-noise ratio SQNR of an 8-bit ADC for a full-scale sine wave.

N = 8
SQNR = dB
4.Medium
SD0​D1​D2​D3​D4​D5​D6​D7​Tb​10·Tb​38400 Bd, 8N1

A UART sends bytes at 38400 baud in the format 8N1: 8 data bits, no parity and 1 stop bit(s), plus the start bit. Find the largest number of data bytes per second it can transfer.

baud = 38400 Bd8N1
RB = B/s
5.Hard
T1 mV/°C×20∿01N = 12, 5 V? °C/LSB

A temperature sensor gives 1 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 5 V (1 LSB = VFSR/2ᴺ). Find the temperature change ΔTLSB that corresponds to one LSB.

S = 1 mV/°CG = 20N = 12VFSR = 5 V
ΔTLSB = °C
6.Hard
Vin​N = ?VFSR​2ᴺ − 101 LSB

An audio measurement needs an ideal signal-to-quantisation-noise ratio of at least 100 dB for a full-scale sine wave. Find the smallest number of ADC bits N.

SQNR ≥ 100 dB
N =

Answer key

  1. 1. 1 LSB = 9.766 mV
  2. 2. fN = 2 kHz
  3. 3. SQNR = 49.92 dB
  4. 4. RB = 3840 B/s
  5. 5. ΔTLSB = 0.06104 °C
  6. 6. N = 17

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