Undetected Probability per Word Solution

STEP 0: Pre-Calculation Summary
Formula Used
Undetected Probability = (Undetected Error Probability*Success Probability)/(1-Undetected Error Probability)
Pu = (Pum*Ps)/(1-Pum)
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
Pu = (Pum*Ps)/(1-Pum) --> (0.4*0.3)/(1-0.4)
Evaluating ... ...
Pu = 0.2
STEP 3: Convert Result to Output's Unit
0.2 --> No Conversion Required
FINAL ANSWER
0.2 <-- Undetected Probability
(Calculation completed in 00.004 seconds)

Credits

Created by Shobhit Dimri
Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat
Shobhit Dimri has created this Calculator and 900+ more calculators!
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15 Data Analysis Calculators

Number of Bits Per Word
Go Message Length = (log10(1/Expected Number of Transmission))/(log10(1-Word Error Rate))
Undetected Probability per Word
Go Undetected Probability = (Undetected Error Probability*Success Probability)/(1-Undetected Error Probability)
Success Probability
Go Success Probability = (Undetected Probability*(1-Undetected Error Probability))/Undetected Error Probability
Undetected Error Probability per Single-Word Message
Go Undetected Error Probability = Undetected Probability/(Undetected Probability+Success Probability)
Input Waveform
Go Input Waveform = sqrt(Signal to Noise Ratio*Coding Noise)
Actual S by N Ratio at Output
Go Actual S/N Ratio at Output = Maximum Possible S/N Ratio/Noise Figure of Amplifier
Average Duration of Fade
Go Normalized LCR = Cumulative Distribution Function/Average Duration of Fade
Word Error Rate
Go Word Error Rate = 1-(1/Expected Number of Transmission)^(1/Message Length)
Expected Number of Transmission
Go Expected Number of Transmission = 1/((1-Word Error Rate)^Message Length)
Coding Noise
Go Coding Noise = (Input Waveform^2)/Signal to Noise Ratio
Information Bits
Go Information Bits = Number of Bits per Word-Header Bits
Header Bits
Go Header Bits = Number of Bits per Word-Information Bits
Capability of Error Correction Bits
Go Capability of Error Correction Bits = (Hamming Distance-1)/2
Expected One Transmission(E1)
Go Expected One Transmission = 1/(1-Word Error Rate)
Unsuccess Probability
Go Word Error Rate = 1-Success Probability

Undetected Probability per Word Formula

Undetected Probability = (Undetected Error Probability*Success Probability)/(1-Undetected Error Probability)
Pu = (Pum*Ps)/(1-Pum)

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 Pu 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 (Pum) & Success Probability (Ps) 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 Pu = (Pum*Ps)/(1-Pum) 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 (Pum) & Success Probability (Ps). 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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