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 = 123.3 V2ᴺ − 101 LSB

A 12-bit ADC that rounds to the nearest code has an input range of 0 to 3.3 V. With 1 LSB = VFSR/2ᴺ, find the largest quantisation error eq,max in mV.

N = 12VFSR = 3.3 V
eq,max = mV
2.Easy
Vin​N = 141 V2ᴺ − 101 LSB = ?

A 14-bit ADC has an input range of 0 to 1 V. Taking 1 LSB = VFSR/2ᴺ, find the size of one LSB in mV.

N = 14VFSR = 1 V
1 LSB = mV
3.Medium
Vin​N = 24VFSR​2ᴺ − 101 LSB

Find the ideal signal-to-quantisation-noise ratio SQNR of a 24-bit ADC for a full-scale sine wave.

N = 24
SQNR = dB
4.Medium
Vin​N = ?200 kPa2ᴺ − 10≤ 0.1 kPa

A sensor measures pressure over a span of 200 kPa, and its output fills the whole input range of an ADC. The reading must resolve 0.1 kPa. Find the smallest number of bits N the ADC needs.

span = 200 kParesolution = 0.1 kPa
N =
5.Hard
SD0​D1​D2​D3​D4​D5​D6​D7​1/fbaud​12 MHz / (16·D)

A microcontroller with a 12 MHz clock sets its UART baud rate as fclk/(16·D), with D a whole number rounded to the nearest value. The target is 57600 baud. Find the percentage error of the real baud rate (positive when it is too fast).

fclk = 12 MHztarget = 57600 Bd
e = %
6.Hard
SD0​D1​D2​D3​D4​D5​D6​D7​1/fbaud​1 MHz / (16·D)

A microcontroller with a 1 MHz clock sets its UART baud rate as fclk/(16·D), with D a whole number rounded to the nearest value. The target is 4800 baud. Find the percentage error of the real baud rate (positive when it is too fast).

fclk = 1 MHztarget = 4800 Bd
e = %

Answer key

  1. 1. eq,max = 0.4028 mV
  2. 2. 1 LSB = 0.06104 mV
  3. 3. SQNR = 146.2 dB
  4. 4. N = 11
  5. 5. e = 0.1603 %
  6. 6. e = 0.1603 %

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