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
128⋮8 ch∿01N = 1210 kHz? kbit/s

A data logger samples 8 channels, each at 10 kHz with 12-bit resolution. Find the raw data rate Rb in kbit/s.

n = 8fs = 10 kHzN = 12
Rb = kbit/s
3.Medium
Vin​N = 122.5 V2ᴺ − 101 LSB0.643 V?

A 12-bit ADC with an input range of 0 to 2.5 V truncates: its output code is ⌊Vin/LSB⌋ with 1 LSB = VFSR/2ᴺ. Find the decimal output code D for an input of 0.643 V.

N = 12VFSR = 2.5 VVin = 0.643 V
D =
4.Medium
SD0​D1​D2​D3​D4​D5​D6​D7​PTb​11·Tb​1200 Bd, 8E1

A UART sends bytes at 1200 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 = 1200 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 55 dB for a full-scale sine wave. Find the smallest number of ADC bits N.

SQNR ≥ 55 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. fN = 20 kHz
  2. 2. Rb = 960 kbit/s
  3. 3. D = 1053
  4. 4. RB = 109.1 B/s
  5. 5. N = 9
  6. 6. N = 12

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