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​ = ?3 kHz

A sensor signal contains frequencies up to 3 kHz. Find the minimum sampling rate fs,min that captures it without aliasing.

fmax = 3 kHz
fs,min = kHz
2.Easy
Vin​N = 141 V2ᴺ − 101 LSB = ?

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

N = 14VFSR = 1 V
1 LSB = mV
3.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
4.Medium
SD0​D1​D2​D3​D4​D5​D6​D7​PTb​12·Tb​4800 Bd, 8E2

A UART sends bytes at 4800 baud in the format 8E2: 8 data bits, an even parity bit and 2 stop bit(s), plus the start bit. Find the largest number of data bytes per second it can transfer.

baud = 4800 Bd8E2
RB = B/s
5.Hard
Vin​N = ?VFSR​2ᴺ − 101 LSB

An audio measurement needs an ideal signal-to-quantisation-noise ratio of at least 100 dB for a full-scale sine wave. Find the smallest number of ADC bits N.

SQNR ≥ 100 dB
N =
6.Hard
126⋮6 ch∿01tc​ = 4 µstset​ = 1 µsfs​ = ?

A 6-channel multiplexer feeds one ADC. Each conversion takes 4 µs, and after every channel switch the input needs 1 µs to settle. The channels are scanned in turn without pause. Find the sampling rate fs of each channel, in kHz.

n = 6tc = 4 µstset = 1 µs
fs = kHz

Answer key

  1. 1. fs,min = 6 kHz
  2. 2. 1 LSB = 0.06104 mV
  3. 3. SQNR = 86.04 dB
  4. 4. RB = 400 B/s
  5. 5. N = 17
  6. 6. fs = 33.33 kHz

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