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Symbol Rate given Bit Rate Formula

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Symbol Rate refers to the rate at which symbols (distinct, discrete values or levels) are transmitted in a communication channel. Check FAQs

S rate = \frac{B rate}{B sym}

S_rate - Symbol Rate?B_rate - Bit Rate?B_sym - Number of Bits per Symbol?

Symbol Rate given Bit Rate Example

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With units

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Here is how the Symbol Rate given Bit Rate equation looks like with Values.

Here is how the Symbol Rate given Bit Rate equation looks like with Units.

Here is how the Symbol Rate given Bit Rate equation looks like.

0.875 = \frac{7}{8}

0.875Sym/s = \frac{7b/s}{8bits}

0.875 = \frac{7}{8}

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Symbol Rate given Bit Rate Solution

Follow our step by step solution on how to calculate Symbol Rate given Bit Rate?

FIRST Step Consider the formula

S rate = \frac{B rate}{B sym}

Next Step Substitute values of Variables

∴

S rate = \frac{7b/s}{8bits}

Next Step Prepare to Evaluate

∴

S rate = \frac{7}{8}

Next Step Evaluate

∴

S rate = 0.875Bd

LAST Step Convert to Output's Unit

∴

S rate = 0.875Sym/s

Symbol Rate given Bit Rate Formula Elements

Variables

Symbol Rate

Symbol Rate refers to the rate at which symbols (distinct, discrete values or levels) are transmitted in a communication channel.

Symbol: S_rate

Measurement: Symbol RateUnit: Sym/s

Note: Value should be greater than 0.

Formulas to find Symbol Rate

Bit 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: B_rate

Measurement: BandwidthUnit: b/s

Note: Value should be greater than 0.

Formulas to find Bit Rate

Number of Bits per Symbol

Number of bits per symbol refers to the number of binary bits that are represented by a single symbol transmitted over the wireless channel.

Symbol: B_sym

Measurement: Data StorageUnit: bits

Note: Value should be greater than 0.

Formulas to find Number of Bits per Symbol

Other formulas in Data Transmissions and Error Analysis category

Go Bit Error Rate

BER = \frac{N e}{N t}

Go Number of Bits in Error

N e = BER \cdot N t

Go Average Signal Power

P av = P ab \cdot B sym

Go Number of Bits per Symbol

B sym = \frac{B rate}{S rate}

How to Evaluate Symbol Rate given Bit Rate?

Symbol Rate given Bit Rate evaluator uses Symbol Rate = Bit Rate/Number of Bits per Symbol to evaluate 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 evaluate Symbol Rate given Bit Rate using this online evaluator? To use this online evaluator for Symbol Rate given Bit Rate, enter Bit Rate (B_rate) & Number of Bits per Symbol (B_sym) and hit the calculate button.

FAQs on Symbol Rate given Bit Rate

What is the formula to find Symbol Rate given Bit Rate?

The formula of Symbol Rate given Bit Rate is expressed as Symbol Rate = Bit Rate/Number of Bits per Symbol. Here is an example- 0.875 = 7/8.

How to calculate Symbol Rate given Bit Rate?

With Bit Rate (B_rate) & Number of Bits per Symbol (B_sym) we can find Symbol Rate given Bit Rate using the formula - Symbol Rate = Bit Rate/Number of Bits per Symbol.

Can the Symbol Rate given Bit Rate be negative?

No, the Symbol Rate given Bit Rate, measured in Symbol Rate cannot be negative.

Which unit is used to measure Symbol Rate given Bit Rate?

Symbol Rate given Bit Rate is usually measured using the Symbols per Second[Sym/s] for Symbol Rate. Baud[Sym/s] are the few other units in which Symbol Rate given Bit Rate can be measured.

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Symbol Rate given Bit Rate Formula

Symbol Rate given Bit Rate Example

Symbol Rate given Bit Rate Solution

Symbol Rate given Bit Rate Formula Elements

Other formulas in Data Transmissions and Error Analysis category

How to Evaluate Symbol Rate given Bit Rate?

FAQs on Symbol Rate given Bit Rate

Variable Name