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
SD0​D1​D2​D3​D4​D5​D6​D7​Tb​ = ?1200 Bd

A UART link runs at 1200 baud. Find the duration Tb of one bit, in µs.

baud = 1200 Bd
Tb = µs
2.Easy
123⋮3 ch∿01N = 160.5 kHz? kbit/s

A data logger samples 3 channels, each at 0.5 kHz with 16-bit resolution. Find the raw data rate Rb in kbit/s.

n = 3fs = 0.5 kHzN = 16
Rb = kbit/s
3.Medium
Vin​N = 125 V2ᴺ − 101 LSB2.043 V?

A 12-bit ADC with an input range of 0 to 5 V truncates: its output code is ⌊Vin/LSB⌋ with 1 LSB = VFSR/2ᴺ. Find the decimal output code D for an input of 2.043 V.

N = 12VFSR = 5 VVin = 2.043 V
D =
4.Medium
SD0​D1​D2​D3​D4​D5​D6​D7​PTb​12·Tb​1200 Bd, 8E2

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
RB = B/s
5.Hard
SD0​D1​D2​D3​D4​D5​D6​D7​Tb​10·Tb​9600 Bd, 8N1

A 16-bit ADC streams every sample over a UART at 9600 baud, format 8N1 (start bit, 8 data bits, 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 fmax that can be sampled without aliasing, in Hz.

baud = 9600 BdN = 168N1
fmax = Hz
6.Hard
SD0​D1​D2​D3​D4​D5​D6​D7​Tb​10·Tb​19200 Bd, 8N1

A 12-bit ADC streams every sample over a UART at 19200 baud, format 8N1 (start bit, 8 data bits, 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 fmax that can be sampled without aliasing, in Hz.

baud = 19200 BdN = 128N1
fmax = Hz

Answer key

  1. 1. Tb = 833.3 µs
  2. 2. Rb = 24 kbit/s
  3. 3. D = 1673
  4. 4. RB = 100 B/s
  5. 5. fmax = 240 Hz
  6. 6. fmax = 480 Hz

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