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
SD0​D1​D2​D3​D4​D5​D6​D7​Tb​ = ?57600 Bd

A UART link runs at 57600 baud. Find the duration Tb of one bit, in µs.

baud = 57600 Bd
Tb = µs
2.Easy
Vin​N = 1610 V2ᴺ − 101 LSB

A 16-bit ADC that rounds to the nearest code has an input range of 0 to 10 V. With 1 LSB = VFSR/2ᴺ, find the largest quantisation error eq,max in mV.

N = 16VFSR = 10 V
eq,max = mV
3.Medium
tTs​ = 1/fs​f = 13 kHzfs​ = 10 kHz

A 13 kHz sine wave is sampled at 10 kHz without an anti-aliasing filter. At which frequency fa does it appear in the samples? Give it in kHz.

f = 13 kHzfs = 10 kHz
fa = kHz
4.Medium
SD0​D1​D2​D3​D4​D5​D6​D7​Tb​10·Tb​4800 Bd, 8N1

A UART sends bytes at 4800 baud in the format 8N1: 8 data bits, no parity and 1 stop bit(s), plus the start bit. Find the largest number of data bytes per second it can transfer.

baud = 4800 Bd8N1
RB = B/s
5.Hard
SD0​D1​D2​D3​D4​D5​D6​D7​PTb​11·Tb​9600 Bd, 8E1

A 24-bit ADC streams every sample over a UART at 9600 baud, format 8E1 (start bit, 8 data bits, even parity, 1 stop bit). Each sample is sent as 3 whole byte(s) and the link is busy all the time. Find the highest signal frequency fmax that can be sampled without aliasing, in Hz.

baud = 9600 BdN = 248E1
fmax = Hz
6.Hard
T5 mV/°C×1∿01N = 8, 2.5 V? °C/LSB

A temperature sensor gives 5 mV/°C (0 V at 0 °C). Its signal is amplified 1 times and fed to an 8-bit ADC with a range of 0 to 2.5 V (1 LSB = VFSR/2ᴺ). Find the temperature change ΔTLSB that corresponds to one LSB.

S = 5 mV/°CG = 1N = 8VFSR = 2.5 V
ΔTLSB = °C

Answer key

  1. 1. Tb = 17.36 µs
  2. 2. eq,max = 0.07629 mV
  3. 3. fa = 3 kHz
  4. 4. RB = 480 B/s
  5. 5. fmax = 145.5 Hz
  6. 6. ΔTLSB = 1.953 °C

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