Undetected Probability per Word Calculator

✖Undetected error probability in wireless communication refers to the likelihood of a transmitted message containing errors that go undetected by the receiver's error detection mechanism.ⓘ Undetected Error Probability [P_um]			+10% -10%
✖Success probability refers to the likelihood of successfully establishing and maintaining a reliable communication link between a transmitter and receiver in a wireless network.ⓘ Success Probability [P_s]			+10% -10%

✖Undetected Probability, in the context of wireless communication, refers to the likelihood that an error or transmission failure goes unnoticed or undetected by the receiving device or system.ⓘ Undetected Probability per Word [P_u]

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Undetected Probability per Word Solution

STEP 0: Pre-Calculation Summary

Formula Used

Undetected Probability = (Undetected Error Probability*Success Probability)/(1-Undetected Error Probability)
P_u = (P_um*P_s)/(1-P_um)
This formula uses 3 Variables

Variables Used

Undetected Probability - Undetected Probability, in the context of wireless communication, refers to the likelihood that an error or transmission failure goes unnoticed or undetected by the receiving device or system.
Undetected Error Probability - Undetected error probability in wireless communication refers to the likelihood of a transmitted message containing errors that go undetected by the receiver's error detection mechanism.
Success Probability - Success probability refers to the likelihood of successfully establishing and maintaining a reliable communication link between a transmitter and receiver in a wireless network.

STEP 1: Convert Input(s) to Base Unit

Undetected Error Probability: 0.4 --> No Conversion Required
Success Probability: 0.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_u = (P_um*P_s)/(1-P_um) --> (0.4*0.3)/(1-0.4)

Evaluating ... ...

P_u = 0.2

STEP 3: Convert Result to Output's Unit

0.2 --> No Conversion Required

FINAL ANSWER

0.2 <-- Undetected Probability

(Calculation completed in 00.005 seconds)

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Credits

Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

Shobhit Dimri has created this Calculator and 900+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Calculator and 1900+ more calculators!

< Data Analysis Calculators

Expected Number of Transmission

LaTeX Go Expected Number of Transmission = 1/((1-Word Error Rate)^Message Length)

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LaTeX Go Coding Noise = (Input Waveform^2)/Signal to Noise Ratio

Header Bits

LaTeX Go Header Bits = Number of Bits per Word-Information Bits

Capability of Error Correction Bits

LaTeX Go Capability of Error Correction Bits = (Hamming Distance-1)/2

Undetected Probability per Word Formula

LaTeX Go

Undetected Probability = (Undetected Error Probability*Success Probability)/(1-Undetected Error Probability)
P_u = (P_um*P_s)/(1-P_um)

What causes packet re-transmission?

There are four common reasons for packet retransmission: (1) the lack of an acknowledgment that data has been received within a reasonable time, (2) the sender discovering that transmission was unsuccessful.

How to Calculate Undetected Probability per Word?

Undetected Probability per Word calculator uses Undetected Probability = (Undetected Error Probability*Success Probability)/(1-Undetected Error Probability) to calculate the Undetected Probability, The Undetected Probability per Word formula is defined as the probability of undetected error is then a measure of the reliability of an error-detecting code. Undetected Probability is denoted by P_u symbol.

How to calculate Undetected Probability per Word using this online calculator? To use this online calculator for Undetected Probability per Word, enter Undetected Error Probability (P_um) & Success Probability (P_s) and hit the calculate button. Here is how the Undetected Probability per Word calculation can be explained with given input values -> 0.2 = (0.4*0.3)/(1-0.4).

FAQ

What is Undetected Probability per Word?

The Undetected Probability per Word formula is defined as the probability of undetected error is then a measure of the reliability of an error-detecting code and is represented as P_u = (P_um*P_s)/(1-P_um) or Undetected Probability = (Undetected Error Probability*Success Probability)/(1-Undetected Error Probability). Undetected error probability in wireless communication refers to the likelihood of a transmitted message containing errors that go undetected by the receiver's error detection mechanism & Success probability refers to the likelihood of successfully establishing and maintaining a reliable communication link between a transmitter and receiver in a wireless network.

How to calculate Undetected Probability per Word?

The Undetected Probability per Word formula is defined as the probability of undetected error is then a measure of the reliability of an error-detecting code is calculated using Undetected Probability = (Undetected Error Probability*Success Probability)/(1-Undetected Error Probability). To calculate Undetected Probability per Word, you need Undetected Error Probability (P_um) & Success Probability (P_s). With our tool, you need to enter the respective value for Undetected Error Probability & Success Probability and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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