Bit Error Rate Calculator

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✖Number of Bits in Error refers to the count of bits that were received incorrectly in a digital communication system.ⓘ Number of Bits in Error [N_e]			+10% -10%
✖Total Number of Bits Transmitted refers to the total count of bits that have been sent or transmitted in a digital communication system.ⓘ Total Number of Bits Transmitted [N_t]			+10% -10%

✖Bit Error Rate is a measure used in digital communication to quantify the number of bits that are received in error compared to the total number of bits transmitted over a communication channel.ⓘ Bit Error Rate [BER]

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Formula

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Bit Error Rate

Formula

`"BER" = "N"_{"e"}/"N"_{"t"}`

Example

`"0.6"="3"/"5"`

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Bit Error Rate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bit Error Rate = Number of Bits in Error/Total Number of Bits Transmitted
BER = N_e/N_t
This formula uses 3 Variables

Variables Used

Bit Error Rate - Bit Error Rate is a measure used in digital communication to quantify the number of bits that are received in error compared to the total number of bits transmitted over a communication channel.
Number of Bits in Error - Number of Bits in Error refers to the count of bits that were received incorrectly in a digital communication system.
Total Number of Bits Transmitted - Total Number of Bits Transmitted refers to the total count of bits that have been sent or transmitted in a digital communication system.

STEP 1: Convert Input(s) to Base Unit

Number of Bits in Error: 3 --> No Conversion Required
Total Number of Bits Transmitted: 5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

BER = N_e/N_t --> 3/5

Evaluating ... ...

BER = 0.6

STEP 3: Convert Result to Output's Unit

0.6 --> No Conversion Required

FINAL ANSWER

0.6 <-- Bit Error Rate

(Calculation completed in 00.004 seconds)

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Credits

Created by Simran Shravan Nishad

Sinhgad College Of Engineering (SCOE), Pune

Simran Shravan Nishad has created this Calculator and 25+ more calculators!

Verified by Ritwik Tripathi

Vellore Institute of Technology (VIT Vellore), Vellore

Ritwik Tripathi has verified this Calculator and 100+ more calculators!

< 14 Data Transmissions and Error Analysis Calculators

Maximum Possible Data Rate over Channel

Go Channel Capacity = 2*Radio Channel Bandwidth*log2(1+(Average Signal Power/Average Noise Power))

Average SNR per Bit

Go Average SNR per Bit = Average Signal Power/(2*Number of Bits per Symbol*Average Noise Power)

Average Signal Power per Bit

Go Average Signal Power per Bit = Average Signal Power/Number of Bits per Symbol

Average Signal Power

Go Average Signal Power = Average Signal Power per Bit*Number of Bits per Symbol

Number of Symbol in Error

Go Number of Symbols in Error = Symbol Error Rate*Number of Symbols Transmitted

Symbol Error Rate

Go Symbol Error Rate = Number of Symbols in Error/Number of Symbols Transmitted

Number of Bits in Error

Go Number of Bits in Error = Bit Error Rate*Total Number of Bits Transmitted

Bit Error Rate

Go Bit Error Rate = Number of Bits in Error/Total Number of Bits Transmitted

Average SNR for Two Dimensional Constellation

Go Average SNR = Average Signal Power/(2*Average Noise Power)

Average Signal Power for Two Dimensional Constellation

Go Average Signal Power = 2*Average SNR*Average Noise Power

Symbol Rate given Bit Rate

Go Symbol Rate = Bit Rate/Number of Bits per Symbol

Number of Bits per Symbol

Go Number of Bits per Symbol = Bit Rate/Symbol Rate

Average Probability of Correct Decision

Go Average Probability of Correct Decision = 1-Average Probability of Error

Average Probability of Error

Go Average Probability of Error = 1-Average Probability of Correct Decision

Bit Error Rate Formula

Bit Error Rate = Number of Bits in Error/Total Number of Bits Transmitted
BER = N_e/N_t

Why is Bit Error Rate calculated ?

Bit Error Rate is calculated for Performance Evaluation, System Design Optimization, Troubleshooting and Maintenance .

How to Calculate Bit Error Rate?

Bit Error Rate calculator uses Bit Error Rate = Number of Bits in Error/Total Number of Bits Transmitted to calculate the Bit Error Rate, The Bit Error Rate is a measure used in digital communication to quantify the number of bits that are received in error compared to the total number of bits transmitted over a communication channel. Bit Error Rate is denoted by BER symbol.

How to calculate Bit Error Rate using this online calculator? To use this online calculator for Bit Error Rate, enter Number of Bits in Error (N_e) & Total Number of Bits Transmitted (N_t) and hit the calculate button. Here is how the Bit Error Rate calculation can be explained with given input values -> 0.6 = 3/5.

FAQ

What is Bit Error Rate?

The Bit Error Rate is a measure used in digital communication to quantify the number of bits that are received in error compared to the total number of bits transmitted over a communication channel and is represented as BER = N_e/N_t or Bit Error Rate = Number of Bits in Error/Total Number of Bits Transmitted. Number of Bits in Error refers to the count of bits that were received incorrectly in a digital communication system & Total Number of Bits Transmitted refers to the total count of bits that have been sent or transmitted in a digital communication system.

How to calculate Bit Error Rate?

The Bit Error Rate is a measure used in digital communication to quantify the number of bits that are received in error compared to the total number of bits transmitted over a communication channel is calculated using Bit Error Rate = Number of Bits in Error/Total Number of Bits Transmitted. To calculate Bit Error Rate, you need Number of Bits in Error (N_e) & Total Number of Bits Transmitted (N_t). With our tool, you need to enter the respective value for Number of Bits in Error & Total Number of Bits Transmitted 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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