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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Name: ____________________ Date: ____________

1.Easy

An 8-bit ADC has an input range of 0 to 10 V. Taking 1 LSB = V_FSR/2ᴺ, find the size of one LSB in mV.

N = 8V_FSR = 10 V

1 LSB = mV

2.Easy

A data logger samples 2 channels, each at 5 kHz with 24-bit resolution. Find the raw data rate R_b in kbit/s.

n = 2f_s = 5 kHzN = 24

R_b = kbit/s

3.Medium

A UART sends bytes at 19200 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 = 19200 Bd8E1

R_B = B/s

4.Medium

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

A 6-channel multiplexer feeds one ADC. Each conversion takes 2.5 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 = 2.5 µst_set = 1 µs

f_s = kHz

6.Hard

A 750 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 5f₁ appear in the sampled data? Give it in Hz.

f₁ = 750 Hzf_s = 5 kHzharmonic: 5f₁

f_a = Hz

Answer key

1. 1 LSB = 39.06 mV
2. R_b = 240 kbit/s
3. R_B = 1745 B/s
4. SQNR = 86.04 dB
5. f_s = 47.62 kHz
6. f_a = 1250 Hz

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