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

An 8-bit ADC that rounds to the nearest code has an input range of 0 to 10 V. With 1 LSB = V_FSR/2ᴺ, find the largest quantisation error e_q,max in mV.

N = 8V_FSR = 10 V

e_q,max = mV

2.Easy

An ADC samples at 50 kHz. Find the Nyquist frequency f_N, the highest signal frequency it can represent without aliasing.

f_s = 50 kHz

f_N = kHz

3.Medium

A UART sends bytes at 4800 baud in the format 8N2: 8 data bits, no parity and 2 stop bit(s), plus the start bit. Find the largest number of data bytes per second it can transfer.

baud = 4800 Bd8N2

R_B = B/s

4.Medium

An 8-bit ADC with an input range of 0 to 5 V truncates: its output code is ⌊V_in/LSB⌋ with 1 LSB = V_FSR/2ᴺ. Find the decimal output code D for an input of 1.882 V.

N = 8V_FSR = 5 VV_in = 1.882 V

D =

5.Hard

An 8-channel multiplexer feeds one ADC. Each conversion takes 1 µs, and after every channel switch the input needs 2 µs to settle. The channels are scanned in turn without pause. Find the sampling rate f_s of each channel, in kHz.

n = 8t_c = 1 µst_set = 2 µs

f_s = kHz

6.Hard

A microcontroller with a 1 MHz clock sets its UART baud rate as f_clk/(16·D), with D a whole number rounded to the nearest value. The target is 2400 baud. Find the percentage error of the real baud rate (positive when it is too fast).

f_clk = 1 MHztarget = 2400 Bd

e = %

Answer key

1. e_q,max = 19.53 mV
2. f_N = 25 kHz
3. R_B = 436.4 B/s
4. D = 96
5. f_s = 41.67 kHz
6. e = 0.1603 %

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