Success Probability Calculator

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✖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%
✖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]

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Formula

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Success Probability

Formula

`"P"_{"s"} = ("P"_{"u"}*(1-"P"_{"um"}))/"P"_{"um"}`

Example

`"0.3"=("0.2"*(1-"0.4"))/"0.4"`

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Success Probability Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Undetected Probability: 0.2 --> No Conversion Required
Undetected Error Probability: 0.4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_s = (P_u*(1-P_um))/P_um --> (0.2*(1-0.4))/0.4

Evaluating ... ...

P_s = 0.3

STEP 3: Convert Result to Output's Unit

0.3 --> No Conversion Required

FINAL ANSWER

0.3 <-- Success 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

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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

Success Probability Formula

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

Success Probability calculator uses Success Probability = (Undetected Probability*(1-Undetected Error Probability))/Undetected Error Probability to calculate the Success Probability, The Success Probability formula is defined as the probability of getting desired result or a favorable outcome. Success Probability is denoted by P_s symbol.

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

FAQ

What is Success Probability?

The Success Probability formula is defined as the probability of getting desired result or a favorable outcome and is represented as P_s = (P_u*(1-P_um))/P_um or Success Probability = (Undetected Probability*(1-Undetected Error Probability))/Undetected Error 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 in wireless communication refers to the likelihood of a transmitted message containing errors that go undetected by the receiver's error detection mechanism.

How to calculate Success Probability?

The Success Probability formula is defined as the probability of getting desired result or a favorable outcome is calculated using Success Probability = (Undetected Probability*(1-Undetected Error Probability))/Undetected Error Probability. To calculate Success Probability, you need Undetected Probability (P_u) & Undetected Error Probability (P_um). With our tool, you need to enter the respective value for Undetected Probability & Undetected Error 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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