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 = 103.3 V2ᴺ − 101 LSB = ?

A 10-bit ADC has an input range of 0 to 3.3 V. Taking 1 LSB = VFSR/2ᴺ, find the size of one LSB in mV.

N = 10VFSR = 3.3 V
1 LSB = mV
3.Medium
122 ch∿01N = 1625 kHz? MB

A recorder samples 2 channels at 25 kHz each with a 16-bit ADC. Each sample is stored in whole bytes. Find the memory M needed for a 60 min recording, in MB (1 MB = 10⁶ bytes).

n = 2fs = 25 kHzN = 16t = 60 min
M = MB
4.Medium
SD0​D1​D2​D3​D4​D5​D6​D7​PTb​11·Tb​9600 Bd, 8E1

A UART sends bytes at 9600 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 = 9600 Bd8E1
RB = B/s
5.Hard
T20 mV/°C×2.5∿01N = 8, 3.3 V? °C/LSB

A temperature sensor gives 20 mV/°C (0 V at 0 °C). Its signal is amplified 2.5 times and fed to an 8-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 = 2.5N = 8VFSR = 3.3 V
ΔTLSB = °C
6.Hard
T10 mV/°C×4∿01N = 10, 10 V? °C/LSB

A temperature sensor gives 10 mV/°C (0 V at 0 °C). Its signal is amplified 4 times and fed to a 10-bit ADC with a range of 0 to 10 V (1 LSB = VFSR/2ᴺ). Find the temperature change ΔTLSB that corresponds to one LSB.

S = 10 mV/°CG = 4N = 10VFSR = 10 V
ΔTLSB = °C

Answer key

  1. 1. eq,max = 0.4028 mV
  2. 2. 1 LSB = 3.223 mV
  3. 3. M = 360 MB
  4. 4. RB = 872.7 B/s
  5. 5. ΔTLSB = 0.2578 °C
  6. 6. ΔTLSB = 0.2441 °C

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