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

A UART link runs at 9600 baud. Find the duration T_b of one bit, in µs.

baud = 9600 Bd

T_b = µs

2.Easy

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

N = 10V_FSR = 1 V

1 LSB = mV

3.Medium

A recorder samples 2 channels at 50 kHz each with a 24-bit ADC. Each sample is stored in whole bytes. Find the memory M needed for a 1 min recording, in MB (1 MB = 10⁶ bytes).

n = 2f_s = 50 kHzN = 24t = 1 min

M = MB

4.Medium

A UART sends bytes at 1200 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 = 1200 Bd8E2

R_B = B/s

5.Hard

A 600 Hz square wave is sampled at 5 kHz with no anti-aliasing filter. A square wave contains the odd harmonics 3f₁, 5f₁, 7f₁, … At which frequency f_a does its harmonic 7f₁ appear in the sampled data? Give it in Hz.

f₁ = 600 Hzf_s = 5 kHzharmonic: 7f₁

f_a = Hz

6.Hard

A 6-channel multiplexer feeds one ADC. Each conversion takes 2 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 f_s of each channel, in kHz.

n = 6t_c = 2 µst_set = 1 µs

f_s = kHz

Answer key

1. T_b = 104.2 µs
2. 1 LSB = 0.9766 mV
3. M = 18 MB
4. R_B = 100 B/s
5. f_a = 800 Hz
6. f_s = 55.56 kHz

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