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
Vin​N = 101 V2ᴺ − 101 LSB = ?

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

N = 10VFSR = 1 V
1 LSB = mV
2.Easy
SD0​D1​D2​D3​D4​D5​D6​D7​Tb​ = ?115200 Bd

A UART link runs at 115200 baud. Find the duration Tb of one bit, in µs.

baud = 115200 Bd
Tb = µs
3.Medium
SD0​D1​D2​D3​D4​D5​D6​D7​Tb​10·Tb​115200 Bd, 8N1

A UART sends bytes at 115200 baud in the format 8N1: 8 data bits, no parity and 1 stop bit(s), plus the start bit. Find the largest number of data bytes per second it can transfer.

baud = 115200 Bd8N1
RB = B/s
4.Medium
Vin​N = 82.5 V2ᴺ − 101 LSB1.002 V?

An 8-bit ADC with an input range of 0 to 2.5 V truncates: its output code is ⌊Vin/LSB⌋ with 1 LSB = VFSR/2ᴺ. Find the decimal output code D for an input of 1.002 V.

N = 8VFSR = 2.5 VVin = 1.002 V
D =
5.Hard
Vin​N = ?VFSR​2ᴺ − 101 LSB

An audio measurement needs an ideal signal-to-quantisation-noise ratio of at least 75 dB for a full-scale sine wave. Find the smallest number of ADC bits N.

SQNR ≥ 75 dB
N =
6.Hard
SD0​D1​D2​D3​D4​D5​D6​D7​PTb​11·Tb​230400 Bd, 8E1

A 24-bit ADC streams every sample over a UART at 230400 baud, format 8E1 (start bit, 8 data bits, even parity, 1 stop bit). Each sample is sent as 3 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 = 230400 BdN = 248E1
fmax = Hz

Answer key

  1. 1. 1 LSB = 0.9766 mV
  2. 2. Tb = 8.681 µs
  3. 3. RB = 11520 B/s
  4. 4. D = 102
  5. 5. N = 13
  6. 6. fmax = 3491 Hz

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