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 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

2.Easy

A data logger samples one channel at 44.1 kHz with 8-bit resolution. Find the raw data rate R_b in kbit/s.

n = 1f_s = 44.1 kHzN = 8

R_b = kbit/s

3.Medium

An 8-bit ADC with an input range of 0 to 2.5 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 0.24 V.

N = 8V_FSR = 2.5 VV_in = 0.24 V

D =

4.Medium

A UART sends bytes at 115200 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 = 115200 Bd8E1

R_B = B/s

5.Hard

An 8-channel multiplexer feeds one ADC. Each conversion takes 8 µs, and after every channel switch the input needs 0.5 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 = 8 µst_set = 0.5 µs

f_s = kHz

6.Hard

A 12-bit ADC streams every sample over a UART at 38400 baud, format 8E1 (start bit, 8 data bits, even parity, 1 stop bit). Each sample is sent as 2 whole byte(s) and the link is busy all the time. Find the highest signal frequency f_max that can be sampled without aliasing, in Hz.

baud = 38400 BdN = 128E1

f_max = Hz

Answer key

1. f_N = 12.5 kHz
2. R_b = 352.8 kbit/s
3. D = 24
4. R_B = 10473 B/s
5. f_s = 14.71 kHz
6. f_max = 872.7 Hz

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