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 4800 baud. Find the duration T_b of one bit, in µs.

baud = 4800 Bd

T_b = µs

2.Easy

An ADC samples at 25 kHz. Find the Nyquist frequency f_N, the highest signal frequency it can represent without aliasing.

f_s = 25 kHz

f_N = kHz

3.Medium

Find the ideal signal-to-quantisation-noise ratio SQNR of a 6-bit ADC for a full-scale sine wave.

N = 6

SQNR = dB

4.Medium

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

N = 12

SQNR = dB

5.Hard

A 16-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 = 16t_c = 2 µst_set = 1 µs

f_s = kHz

6.Hard

A microcontroller with a 4 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 115200 baud. Find the percentage error of the real baud rate (positive when it is too fast).

f_clk = 4 MHztarget = 115200 Bd

e = %

Answer key

1. T_b = 208.3 µs
2. f_N = 12.5 kHz
3. SQNR = 37.88 dB
4. SQNR = 74 dB
5. f_s = 20.83 kHz
6. e = 8.507 %

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