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
f0fs​/2fs​ = ?4 kHz

A sensor signal contains frequencies up to 4 kHz. Find the minimum sampling rate fs,min that captures it without aliasing.

fmax = 4 kHz
fs,min = kHz
2.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
3.Medium
Vin​N = 12VFSR​2ᴺ − 101 LSB

Find the ideal signal-to-quantisation-noise ratio SQNR of a 12-bit ADC for a full-scale sine wave.

N = 12
SQNR = dB
4.Medium
Vin​N = 14VFSR​2ᴺ − 101 LSB

Find the ideal signal-to-quantisation-noise ratio SQNR of a 14-bit ADC for a full-scale sine wave.

N = 14
SQNR = dB
5.Hard
T20 mV/°C×10∿01N = 8, 2.5 V? °C/LSB

A temperature sensor gives 20 mV/°C (0 V at 0 °C). Its signal is amplified 10 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 = 20 mV/°CG = 10N = 8VFSR = 2.5 V
ΔTLSB = °C
6.Hard
SD0​D1​D2​D3​D4​D5​D6​D7​1/fbaud​4 MHz / (16·D)

A microcontroller with a 4 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 = 4 MHztarget = 57600 Bd
e = %

Answer key

  1. 1. fs,min = 8 kHz
  2. 2. eq,max = 0.4028 mV
  3. 3. SQNR = 74 dB
  4. 4. SQNR = 86.04 dB
  5. 5. ΔTLSB = 0.04883 °C
  6. 6. e = 8.507 %

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