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
1216⋮16 ch∿01N = 125 kHz? kbit/s

A data logger samples 16 channels, each at 5 kHz with 12-bit resolution. Find the raw data rate Rb in kbit/s.

n = 16fs = 5 kHzN = 12
Rb = kbit/s
2.Easy
Vin​N = 1010 V2ᴺ − 101 LSB

A 10-bit ADC that rounds to the nearest code has an input range of 0 to 10 V. With 1 LSB = VFSR/2ᴺ, find the largest quantisation error eq,max in mV.

N = 10VFSR = 10 V
eq,max = mV
3.Medium
Vin​N = ?500 mm2ᴺ − 10≤ 0.1 mm

A sensor measures distance over a span of 500 mm, and its output fills the whole input range of an ADC. The reading must resolve 0.1 mm. Find the smallest number of bits N the ADC needs.

span = 500 mmresolution = 0.1 mm
N =
4.Medium
SD0​D1​D2​D3​D4​D5​D6​D7​Tb​10·Tb​1200 Bd, 8N1

A UART sends bytes at 1200 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 = 1200 Bd8N1
RB = B/s
5.Hard
T5 mV/°C×10∿01N = 10, 2.5 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 2.5 V (1 LSB = VFSR/2ᴺ). Find the temperature change ΔTLSB that corresponds to one LSB.

S = 5 mV/°CG = 10N = 10VFSR = 2.5 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 90 dB for a full-scale sine wave. Find the smallest number of ADC bits N.

SQNR ≥ 90 dB
N =

Answer key

  1. 1. Rb = 960 kbit/s
  2. 2. eq,max = 4.883 mV
  3. 3. N = 13
  4. 4. RB = 120 B/s
  5. 5. ΔTLSB = 0.04883 °C
  6. 6. N = 15

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