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​ = ?4800 Bd

A UART link runs at 4800 baud. Find the duration Tb of one bit, in µs.

baud = 4800 Bd
Tb = µs
2.Easy
Vin​N = 1010 V2ᴺ − 101 LSB = ?

A 10-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 = 10VFSR = 10 V
1 LSB = mV
3.Medium
Vin​N = 16VFSR​2ᴺ − 101 LSB

Find the ideal signal-to-quantisation-noise ratio SQNR of a 16-bit ADC for a full-scale sine wave.

N = 16
SQNR = dB
4.Medium
SD0​D1​D2​D3​D4​D5​D6​D7​PTb​11·Tb​115200 Bd, 8E1

A UART sends bytes at 115200 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 = 115200 Bd8E1
RB = B/s
5.Hard
T10 mV/°C×2∿01N = 8, 2.5 V? °C/LSB

A temperature sensor gives 10 mV/°C (0 V at 0 °C). Its signal is amplified 2 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 = 10 mV/°CG = 2N = 8VFSR = 2.5 V
ΔTLSB = °C
6.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 57600 baud. Find the percentage error of the real baud rate (positive when it is too fast).

fclk = 2 MHztarget = 57600 Bd
e = %

Answer key

  1. 1. Tb = 208.3 µs
  2. 2. 1 LSB = 9.766 mV
  3. 3. SQNR = 98.08 dB
  4. 4. RB = 10473 B/s
  5. 5. ΔTLSB = 0.4883 °C
  6. 6. e = 8.507 %

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