Symbol Rate given Bit Rate Calculator

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✖Bit Rate refers to the rate at which bits (binary digits) are transmitted or processed over a communication channel or in a digital data stream.ⓘ Bit Rate [B_rate]			+10% -10%
✖Number of bits per symbol refers to the number of binary bits that are represented by a single symbol transmitted over the wireless channel.ⓘ Number of Bits per Symbol [B_sym]			+10% -10%

✖Symbol Rate refers to the rate at which symbols (distinct, discrete values or levels) are transmitted in a communication channel.ⓘ Symbol Rate given Bit Rate [S_rate]

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Formula

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Symbol Rate given Bit Rate

Formula

`"S"_{"rate"} = "B"_{"rate"}/"B"_{"sym"}`

Example

`"0.875Sym/s"="7b/s"/"8bits"`

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Symbol Rate given Bit Rate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Symbol Rate = Bit Rate/Number of Bits per Symbol
S_rate = B_rate/B_sym
This formula uses 3 Variables

Variables Used

Symbol Rate - (Measured in Baud) - Symbol Rate refers to the rate at which symbols (distinct, discrete values or levels) are transmitted in a communication channel.
Bit Rate - (Measured in Bit Per Second) - Bit Rate refers to the rate at which bits (binary digits) are transmitted or processed over a communication channel or in a digital data stream.
Number of Bits per Symbol - (Measured in Bit) - Number of bits per symbol refers to the number of binary bits that are represented by a single symbol transmitted over the wireless channel.

STEP 1: Convert Input(s) to Base Unit

Bit Rate: 7 Bit Per Second --> 7 Bit Per Second No Conversion Required
Number of Bits per Symbol: 8 Bit --> 8 Bit No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_rate = B_rate/B_sym --> 7/8

Evaluating ... ...

S_rate = 0.875

STEP 3: Convert Result to Output's Unit

0.875 Baud -->0.875 Symbols per Second (Check conversion here)

FINAL ANSWER

0.875 Symbols per Second <-- Symbol 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 Rate given Bit Rate Formula

Symbol Rate = Bit Rate/Number of Bits per Symbol
S_rate = B_rate/B_sym

What is Bit Rate in simple terms ?

Bit rate, in simple terms, refers to how fast data is transmitted or processed in a digital system. For example, if you have a download speed of 10 megabits per second (10 Mbps), it means your internet connection can receive 10 million bits of data every second.

How to Calculate Symbol Rate given Bit Rate?

Symbol Rate given Bit Rate calculator uses Symbol Rate = Bit Rate/Number of Bits per Symbol to calculate the Symbol Rate, The Symbol Rate given Bit Rate formula refers to the rate at which symbols (distinct, discrete values or levels) are transmitted in a communication channel. Symbol Rate is denoted by S_rate symbol.

How to calculate Symbol Rate given Bit Rate using this online calculator? To use this online calculator for Symbol Rate given Bit Rate, enter Bit Rate (B_rate) & Number of Bits per Symbol (B_sym) and hit the calculate button. Here is how the Symbol Rate given Bit Rate calculation can be explained with given input values -> 0.875 = 7/8.

FAQ

What is Symbol Rate given Bit Rate?

The Symbol Rate given Bit Rate formula refers to the rate at which symbols (distinct, discrete values or levels) are transmitted in a communication channel and is represented as S_rate = B_rate/B_sym or Symbol Rate = Bit Rate/Number of Bits per Symbol. Bit Rate refers to the rate at which bits (binary digits) are transmitted or processed over a communication channel or in a digital data stream & Number of bits per symbol refers to the number of binary bits that are represented by a single symbol transmitted over the wireless channel.

How to calculate Symbol Rate given Bit Rate?

The Symbol Rate given Bit Rate formula refers to the rate at which symbols (distinct, discrete values or levels) are transmitted in a communication channel is calculated using Symbol Rate = Bit Rate/Number of Bits per Symbol. To calculate Symbol Rate given Bit Rate, you need Bit Rate (B_rate) & Number of Bits per Symbol (B_sym). With our tool, you need to enter the respective value for Bit Rate & Number of Bits per Symbol 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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