Undetected Error Probability per Single-Word Message Calculator

✖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 [P_u]			+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 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 per Single-Word Message [P_um]

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Undetected Error Probability per Single-Word Message Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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 Probability: 0.2 --> No Conversion Required
Success Probability: 0.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_um = P_u/(P_u+P_s) --> 0.2/(0.2+0.3)

Evaluating ... ...

P_um = 0.4

STEP 3: Convert Result to Output's Unit

0.4 --> No Conversion Required

FINAL ANSWER

0.4 <-- Undetected Error Probability

(Calculation completed in 00.004 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)

Coding Noise

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 Error Probability per Single-Word Message Formula

LaTeX Go

Undetected Error Probability = Undetected Probability/(Undetected Probability+Success Probability)
P_um = P_u/(P_u+P_s)

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 Error Probability per Single-Word Message?

Undetected Error Probability per Single-Word Message calculator uses Undetected Error Probability = Undetected Probability/(Undetected Probability+Success Probability) to calculate the Undetected Error Probability, The undetected error probability per single-word message the formula is defined as the error in the probability which remains undetected after processing of information. Undetected Error Probability is denoted by P_um symbol.

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

FAQ

What is Undetected Error Probability per Single-Word Message?

The undetected error probability per single-word message the formula is defined as the error in the probability which remains undetected after processing of information and is represented as P_um = P_u/(P_u+P_s) or Undetected Error Probability = Undetected Probability/(Undetected Probability+Success 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 & 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 Error Probability per Single-Word Message?

The undetected error probability per single-word message the formula is defined as the error in the probability which remains undetected after processing of information is calculated using Undetected Error Probability = Undetected Probability/(Undetected Probability+Success Probability). To calculate Undetected Error Probability per Single-Word Message, you need Undetected Probability (P_u) & Success Probability (P_s). With our tool, you need to enter the respective value for Undetected 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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