Number of Bits Per Word Calculator

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✖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]			+10% -10%
✖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.ⓘ Number of Bits Per Word [m]

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Number of Bits Per Word

Formula

`"m" = (log10(1/"E"_{"n"}))/(log10(1-"P"_{"ew"}))`

Example

`"1.161029"=(log10(1/"4"))/(log10(1-"0.697"))`

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Number of Bits Per Word Solution

STEP 0: Pre-Calculation Summary

Formula Used

Message Length = (log10(1/Expected Number of Transmission))/(log10(1-Word Error Rate))
m = (log10(1/E_n))/(log10(1-P_ew))
This formula uses 1 Functions, 3 Variables

Functions Used

log10 - The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function., log10(Number)

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Expected Number of Transmission: 4 --> No Conversion Required
Word Error Rate: 0.697 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

m = (log10(1/E_n))/(log10(1-P_ew)) --> (log10(1/4))/(log10(1-0.697))

Evaluating ... ...

m = 1.16102870081491

STEP 3: Convert Result to Output's Unit

1.16102870081491 --> No Conversion Required

FINAL ANSWER

1.16102870081491 ≈ 1.161029 <-- Message Length

(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!

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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

Number of Bits Per Word Formula

Message Length = (log10(1/Expected Number of Transmission))/(log10(1-Word Error Rate))
m = (log10(1/E_n))/(log10(1-P_ew))

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 Number of Bits Per Word?

Number of Bits Per Word calculator uses Message Length = (log10(1/Expected Number of Transmission))/(log10(1-Word Error Rate)) to calculate the Message Length, The Number of bits per word formula is defined as an important characteristic of any specific processor design or computer architecture. Message Length is denoted by m symbol.

How to calculate Number of Bits Per Word using this online calculator? To use this online calculator for Number of Bits Per Word, enter Expected Number of Transmission (E_n) & Word Error Rate (P_ew) and hit the calculate button. Here is how the Number of Bits Per Word calculation can be explained with given input values -> 1.161029 = (log10(1/4))/(log10(1-0.697)).

FAQ

What is Number of Bits Per Word?

The Number of bits per word formula is defined as an important characteristic of any specific processor design or computer architecture and is represented as m = (log10(1/E_n))/(log10(1-P_ew)) or Message Length = (log10(1/Expected Number of Transmission))/(log10(1-Word Error Rate)). 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 (WER) in wireless communication refers to a metric used to measure the accuracy of speech recognition or automatic speech recognition (ASR) systems.

How to calculate Number of Bits Per Word?

The Number of bits per word formula is defined as an important characteristic of any specific processor design or computer architecture is calculated using Message Length = (log10(1/Expected Number of Transmission))/(log10(1-Word Error Rate)). To calculate Number of Bits Per Word, you need Expected Number of Transmission (E_n) & Word Error Rate (P_ew). With our tool, you need to enter the respective value for Expected Number of Transmission & Word Error Rate 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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