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 = 1410 V2ᴺ − 101 LSB = ?

A 14-bit ADC has an input range of 0 to 10 V. Taking 1 LSB = VFSR/2ᴺ, find the size of one LSB in mV.

N = 14VFSR = 10 V
1 LSB = mV
2.Easy
Vin​N = 82.5 V2ᴺ − 101 LSB = ?

An 8-bit ADC has an input range of 0 to 2.5 V. Taking 1 LSB = VFSR/2ᴺ, find the size of one LSB in mV.

N = 8VFSR = 2.5 V
1 LSB = mV
3.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
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
T20 mV/°C×4∿01N = 12, 3.3 V? °C/LSB

A temperature sensor gives 20 mV/°C (0 V at 0 °C). Its signal is amplified 4 times and fed to a 12-bit ADC with a range of 0 to 3.3 V (1 LSB = VFSR/2ᴺ). Find the temperature change ΔTLSB that corresponds to one LSB.

S = 20 mV/°CG = 4N = 12VFSR = 3.3 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 75 dB for a full-scale sine wave. Find the smallest number of ADC bits N.

SQNR ≥ 75 dB
N =

Answer key

  1. 1. 1 LSB = 0.6104 mV
  2. 2. 1 LSB = 9.766 mV
  3. 3. SQNR = 37.88 dB
  4. 4. RB = 5236 B/s
  5. 5. ΔTLSB = 0.01007 °C
  6. 6. N = 13

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