Symbol Error Rate Calculator

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✖Number of Symbols in Error is a term used in digital communication to quantify the number of symbols that has been received incorrectly compared to the total number of symbols transmitted.ⓘ Number of Symbols in Error [N_se]			+10% -10%
✖Number of Symbols Transmitted refers to the total count of symbols that have been sent or transmitted in a digital communication system.ⓘ Number of Symbols Transmitted [N_st]			+10% -10%

✖Symbol Error Rate is a metric used in digital communication to quantify the likelihood of incorrect reception of individual symbols transmitted over a communication channel.ⓘ Symbol Error Rate [SER]

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Formula

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Symbol Error Rate

Formula

`"SER" = "N"_{"se"}/"N"_{"st"}`

Example

`"2"="18"/"9"`

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Symbol Error Rate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Symbol Error Rate = Number of Symbols in Error/Number of Symbols Transmitted
SER = N_se/N_st
This formula uses 3 Variables

Variables Used

Symbol Error Rate - Symbol Error Rate is a metric used in digital communication to quantify the likelihood of incorrect reception of individual symbols transmitted over a communication channel.
Number of Symbols in Error - Number of Symbols in Error is a term used in digital communication to quantify the number of symbols that has been received incorrectly compared to the total number of symbols transmitted.
Number of Symbols Transmitted - Number of Symbols Transmitted refers to the total count of symbols that have been sent or transmitted in a digital communication system.

STEP 1: Convert Input(s) to Base Unit

Number of Symbols in Error: 18 --> No Conversion Required
Number of Symbols Transmitted: 9 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

SER = N_se/N_st --> 18/9

Evaluating ... ...

SER = 2

STEP 3: Convert Result to Output's Unit

2 --> No Conversion Required

FINAL ANSWER

2 <-- Symbol 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

Symbol Error Rate Formula

Symbol Error Rate = Number of Symbols in Error/Number of Symbols Transmitted
SER = N_se/N_st

Why is calculation of symbol error rate important ?

Symbol error rate provides essential information about the accuracy and reliability of symbol transmission, which is fundamental for the successful operation of various communication technologies.

How to Calculate Symbol Error Rate?

Symbol Error Rate calculator uses Symbol Error Rate = Number of Symbols in Error/Number of Symbols Transmitted to calculate the Symbol Error Rate, The Symbol Error Rate is a metric used in digital communication to quantify the likelihood of incorrect reception of individual symbols transmitted over a communication channel. Symbol Error Rate is denoted by SER symbol.

How to calculate Symbol Error Rate using this online calculator? To use this online calculator for Symbol Error Rate, enter Number of Symbols in Error (N_se) & Number of Symbols Transmitted (N_st) and hit the calculate button. Here is how the Symbol Error Rate calculation can be explained with given input values -> 0.666667 = 18/9.

FAQ

What is Symbol Error Rate?

The Symbol Error Rate is a metric used in digital communication to quantify the likelihood of incorrect reception of individual symbols transmitted over a communication channel and is represented as SER = N_se/N_st or Symbol Error Rate = Number of Symbols in Error/Number of Symbols Transmitted. Number of Symbols in Error is a term used in digital communication to quantify the number of symbols that has been received incorrectly compared to the total number of symbols transmitted & Number of Symbols Transmitted refers to the total count of symbols that have been sent or transmitted in a digital communication system.

How to calculate Symbol Error Rate?

The Symbol Error Rate is a metric used in digital communication to quantify the likelihood of incorrect reception of individual symbols transmitted over a communication channel is calculated using Symbol Error Rate = Number of Symbols in Error/Number of Symbols Transmitted. To calculate Symbol Error Rate, you need Number of Symbols in Error (N_se) & Number of Symbols Transmitted (N_st). With our tool, you need to enter the respective value for Number of Symbols in Error & Number of Symbols 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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