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 = 145 V2ᴺ − 101 LSB

A 14-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 = 14VFSR = 5 V
eq,max = mV
2.Easy
123⋮3 ch∿01N = 240.5 kHz? kbit/s

A data logger samples 3 channels, each at 0.5 kHz with 24-bit resolution. Find the raw data rate Rb in kbit/s.

n = 3fs = 0.5 kHzN = 24
Rb = kbit/s
3.Medium
SD0​D1​D2​D3​D4​D5​D6​D7​Tb​11·Tb​1200 Bd, 8N2

A UART sends bytes at 1200 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 = 1200 Bd8N2
RB = B/s
4.Medium
SD0​D1​D2​D3​D4​D5​D6​D7​PTb​11·Tb​57600 Bd, 8E1

A UART sends bytes at 57600 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 = 57600 Bd8E1
RB = B/s
5.Hard
Vin​N = ?VFSR​2ᴺ − 101 LSB

An audio measurement needs an ideal signal-to-quantisation-noise ratio of at least 75 dB for a full-scale sine wave. Find the smallest number of ADC bits N.

SQNR ≥ 75 dB
N =
6.Hard
Vin​N = ?VFSR​2ᴺ − 101 LSB

An audio measurement needs an ideal signal-to-quantisation-noise ratio of at least 70 dB for a full-scale sine wave. Find the smallest number of ADC bits N.

SQNR ≥ 70 dB
N =

Answer key

  1. 1. eq,max = 0.1526 mV
  2. 2. Rb = 36 kbit/s
  3. 3. RB = 109.1 B/s
  4. 4. RB = 5236 B/s
  5. 5. N = 13
  6. 6. N = 12

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