Number of Bits per Symbol 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%
✖Symbol Rate refers to the rate at which symbols (distinct, discrete values or levels) are transmitted in a communication channel.ⓘ Symbol Rate [S_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]

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Formula

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Number of Bits per Symbol

Formula

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

Example

`"8.045977bits"="7b/s"/"0.87Sym/s"`

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Number of Bits per Symbol Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Bit Rate: 7 Bit Per Second --> 7 Bit Per Second No Conversion Required
Symbol Rate: 0.87 Symbols per Second --> 0.87 Baud (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B_sym = B_rate/S_rate --> 7/0.87

Evaluating ... ...

B_sym = 8.04597701149425

STEP 3: Convert Result to Output's Unit

8.04597701149425 Bit --> No Conversion Required

FINAL ANSWER

8.04597701149425 ≈ 8.045977 Bit <-- Number of Bits per Symbol

(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

Number of Bits per Symbol Formula

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

What is symbol rate in simple terms ?

Symbol rate refers to the rate at which symbols (distinct, discrete values or levels) are transmitted in a communication channel. The term "symbol" here represents a single unit of information.

How to Calculate Number of Bits per Symbol?

Number of Bits per Symbol calculator uses Number of Bits per Symbol = Bit Rate/Symbol Rate to calculate the Number of Bits per Symbol, The Number of Bits per Symbol is a term used in digital communication to describe how many bits are represented by a single symbol in a specific modulation scheme. Number of Bits per Symbol is denoted by B_sym symbol.

How to calculate Number of Bits per Symbol using this online calculator? To use this online calculator for Number of Bits per Symbol, enter Bit Rate (B_rate) & Symbol Rate (S_rate) and hit the calculate button. Here is how the Number of Bits per Symbol calculation can be explained with given input values -> 1.75 = 7/0.87.

FAQ

What is Number of Bits per Symbol?

The Number of Bits per Symbol is a term used in digital communication to describe how many bits are represented by a single symbol in a specific modulation scheme and is represented as B_sym = B_rate/S_rate or Number of Bits per Symbol = Bit Rate/Symbol Rate. 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 & Symbol Rate refers to the rate at which symbols (distinct, discrete values or levels) are transmitted in a communication channel.

How to calculate Number of Bits per Symbol?

The Number of Bits per Symbol is a term used in digital communication to describe how many bits are represented by a single symbol in a specific modulation scheme is calculated using Number of Bits per Symbol = Bit Rate/Symbol Rate. To calculate Number of Bits per Symbol, you need Bit Rate (B_rate) & Symbol Rate (S_rate). With our tool, you need to enter the respective value for Bit Rate & Symbol 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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