Expected Number of Transmission Calculator

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✖Word Error Rate (WER) in wireless communication refers to a metric used to measure the accuracy of speech recognition or automatic speech recognition (ASR) systems.ⓘ Word Error Rate [P_ew]			+10% -10%
✖Message Length in wireless communication refers to the size or duration of a data transmission or message sent over a wireless network or channel.ⓘ Message Length [m]			+10% -10%

✖Expected Number of Transmission refers to the average number of times a packet or data transmission needs to be sent from a transmitter to a receiver in order to achieve successful delivery.ⓘ Expected Number of Transmission [E_n]

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Formula

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Expected Number of Transmission

Formula

`"E"_{"n"} = 1/((1-"P"_{"ew"})^"m")`

Example

`"3.99509"=1/((1-"0.697")^"1.16")`

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Expected Number of Transmission Solution

STEP 0: Pre-Calculation Summary

Formula Used

Expected Number of Transmission = 1/((1-Word Error Rate)^Message Length)
E_n = 1/((1-P_ew)^m)
This formula uses 3 Variables

Variables Used

Expected Number of Transmission - Expected Number of Transmission refers to the average number of times a packet or data transmission needs to be sent from a transmitter to a receiver in order to achieve successful delivery.
Word Error Rate - Word Error Rate (WER) in wireless communication refers to a metric used to measure the accuracy of speech recognition or automatic speech recognition (ASR) systems.
Message Length - Message Length in wireless communication refers to the size or duration of a data transmission or message sent over a wireless network or channel.

STEP 1: Convert Input(s) to Base Unit

Word Error Rate: 0.697 --> No Conversion Required
Message Length: 1.16 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_n = 1/((1-P_ew)^m) --> 1/((1-0.697)^1.16)

Evaluating ... ...

E_n = 3.99508984860098

STEP 3: Convert Result to Output's Unit

3.99508984860098 --> No Conversion Required

FINAL ANSWER

3.99508984860098 ≈ 3.99509 <-- Expected Number of Transmission

(Calculation completed in 00.004 seconds)

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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

Expected Number of Transmission Formula

Expected Number of Transmission = 1/((1-Word Error Rate)^Message Length)
E_n = 1/((1-P_ew)^m)

What is Transmission Mode?

Transmission mode refers to the mechanism of transferring data between two devices connected over a network. It is also called Communication Mode. These modes direct the direction of the flow of information.

How to Calculate Expected Number of Transmission?

Expected Number of Transmission calculator uses Expected Number of Transmission = 1/((1-Word Error Rate)^Message Length) to calculate the Expected Number of Transmission, The Expected number of Transmission formula is defined as the ETX metric, or expected transmission count is a measure of the quality of a path between two nodes in a wireless packet data network. It is used extensively in mesh networking algorithms. Expected Number of Transmission is denoted by E_n symbol.

How to calculate Expected Number of Transmission using this online calculator? To use this online calculator for Expected Number of Transmission, enter Word Error Rate (P_ew) & Message Length (m) and hit the calculate button. Here is how the Expected Number of Transmission calculation can be explained with given input values -> 3.99509 = 1/((1-0.697)^1.16).

FAQ

What is Expected Number of Transmission?

The Expected number of Transmission formula is defined as the ETX metric, or expected transmission count is a measure of the quality of a path between two nodes in a wireless packet data network. It is used extensively in mesh networking algorithms and is represented as E_n = 1/((1-P_ew)^m) or Expected Number of Transmission = 1/((1-Word Error Rate)^Message Length). Word Error Rate (WER) in wireless communication refers to a metric used to measure the accuracy of speech recognition or automatic speech recognition (ASR) systems & Message Length in wireless communication refers to the size or duration of a data transmission or message sent over a wireless network or channel.

How to calculate Expected Number of Transmission?

The Expected number of Transmission formula is defined as the ETX metric, or expected transmission count is a measure of the quality of a path between two nodes in a wireless packet data network. It is used extensively in mesh networking algorithms is calculated using Expected Number of Transmission = 1/((1-Word Error Rate)^Message Length). To calculate Expected Number of Transmission, you need Word Error Rate (P_ew) & Message Length (m). With our tool, you need to enter the respective value for Word Error Rate & Message Length 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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