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Number of Bits Per Word Formula

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Message Length in wireless communication refers to the size or duration of a data transmission or message sent over a wireless network or channel. Check FAQs

m = \frac{\log 10 (\frac{1}{E n})}{\log 10 (1 - P ew)}

m - Message Length?E_n - Expected Number of Transmission?P_ew - Word Error Rate?

Number of Bits Per Word Example

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Here is how the Number of Bits Per Word equation looks like with Values.

Here is how the Number of Bits Per Word equation looks like with Units.

Here is how the Number of Bits Per Word equation looks like.

1.161 = \frac{\log 10 (\frac{1}{4})}{\log 10 (1 - 0.697)}

1.161 = \frac{\log 10 (\frac{1}{4})}{\log 10 (1 - 0.697)}

1.161 = \frac{\log 10 (\frac{1}{4})}{\log 10 (1 - 0.697)}

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Number of Bits Per Word Solution

Follow our step by step solution on how to calculate Number of Bits Per Word?

FIRST Step Consider the formula

m = \frac{\log 10 (\frac{1}{E n})}{\log 10 (1 - P ew)}

Next Step Substitute values of Variables

∴

m = \frac{\log 10 (\frac{1}{4})}{\log 10 (1 - 0.697)}

Next Step Prepare to Evaluate

∴

m = \frac{\log 10 (\frac{1}{4})}{\log 10 (1 - 0.697)}

Next Step Evaluate

∴

m = 1.16102870081491

LAST Step Rounding Answer

∴

m = 1.161

Number of Bits Per Word Formula Elements

Variables

Functions

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.

Symbol: m

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Message Length

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.

Symbol: E_n

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Expected Number of Transmission

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.

Symbol: P_ew

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Word Error Rate

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.

Syntax: log10(Number)

Other formulas in Data Analysis category

Go Capability of Error Correction Bits

t = \frac{d - 1}{2}

Go Coding Noise

CN = \frac{{I W}^{2}}{SNR}

Go Expected Number of Transmission

E n = \frac{1}{{(1 - P ew)}^{m}}

Go Header Bits

H = B wd - L

How to Evaluate Number of Bits Per Word?

Number of Bits Per Word evaluator uses Message Length = (log10(1/Expected Number of Transmission))/(log10(1-Word Error Rate)) to evaluate 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 evaluate Number of Bits Per Word using this online evaluator? To use this online evaluator for Number of Bits Per Word, enter Expected Number of Transmission (E_n) & Word Error Rate (P_ew) and hit the calculate button.

FAQs on Number of Bits Per Word

What is the formula to find Number of Bits Per Word?

The formula of Number of Bits Per Word is expressed as Message Length = (log10(1/Expected Number of Transmission))/(log10(1-Word Error Rate)). Here is an example- 1.161029 = (log10(1/4))/(log10(1-0.697)).

How to calculate Number of Bits Per Word?

With Expected Number of Transmission (E_n) & Word Error Rate (P_ew) we can find Number of Bits Per Word using the formula - Message Length = (log10(1/Expected Number of Transmission))/(log10(1-Word Error Rate)). This formula also uses Common Logarithm (log10) function(s).

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Number of Bits Per Word Formula

Number of Bits Per Word Example

Number of Bits Per Word Solution

Number of Bits Per Word Formula Elements

Other formulas in Data Analysis category

How to Evaluate Number of Bits Per Word?

FAQs on Number of Bits Per Word

Variable Name