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 = 85 V2ᴺ − 101 LSB

An 8-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 = 8VFSR = 5 V
eq,max = mV
2.Easy
122 ch∿01N = 2410 kHz? kbit/s

A data logger samples 2 channels, each at 10 kHz with 24-bit resolution. Find the raw data rate Rb in kbit/s.

n = 2fs = 10 kHzN = 24
Rb = kbit/s
3.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
4.Medium
Vin​N = 6VFSR​2ᴺ − 101 LSB

Find the ideal signal-to-quantisation-noise ratio SQNR of a 6-bit ADC for a full-scale sine wave.

N = 6
SQNR = dB
5.Hard
SD0​D1​D2​D3​D4​D5​D6​D7​1/fbaud​2 MHz / (16·D)

A microcontroller with a 2 MHz clock sets its UART baud rate as fclk/(16·D), with D a whole number rounded to the nearest value. The target is 2400 baud. Find the percentage error of the real baud rate (positive when it is too fast).

fclk = 2 MHztarget = 2400 Bd
e = %
6.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 =

Answer key

  1. 1. eq,max = 9.766 mV
  2. 2. Rb = 480 kbit/s
  3. 3. RB = 109.1 B/s
  4. 4. SQNR = 37.88 dB
  5. 5. e = 0.1603 %
  6. 6. N = 9

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