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Symbol Rate Formula

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Symbol Rate refers to the number of symbols transmitted per second in a digital communication system. Check FAQs

r s = \frac{R}{H[S]}

r_s - Symbol Rate?R - Information Rate?H[S] - Entropy?

Symbol Rate Example

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With units

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

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

Here is how the Symbol Rate equation looks like.

1000 = \frac{1800}{1.8}

1000b/s = \frac{1800b/s}{1.8b/s}

1000 = \frac{1800}{1.8}

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Symbol Rate Solution

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

FIRST Step Consider the formula

r s = \frac{R}{H[S]}

Next Step Substitute values of Variables

∴

r s = \frac{1800b/s}{1.8b/s}

Next Step Prepare to Evaluate

∴

r s = \frac{1800}{1.8}

LAST Step Evaluate

∴

r s = 1000b/s

Symbol Rate Formula Elements

Variables

Symbol Rate

Symbol Rate refers to the number of symbols transmitted per second in a digital communication system.

Symbol: r_s

Measurement: Data TransferUnit: b/s

Note: Value should be greater than 0.

Formulas to find Symbol Rate

Information Rate

The Information rate is defined as the product of the average information content per symbol and the message symbol rate.

Symbol: R

Measurement: Data TransferUnit: b/s

Note: Value should be greater than 0.

Formulas to find Information Rate

Entropy

Entropy is a measure of the uncertainty of a random variable. Specifically, it measures the average amount of information contained in each possible outcome of the random variable.

Symbol: H[S]

Measurement: Data TransferUnit: b/s

Note: Value should be greater than 0.

Formulas to find Entropy

Other formulas in Continuous Channels category

Go Channel Capacity

C = B \cdot \log 2 (1 + SNR)

Go Noise Power of Gaussian Channel

N o = 2 \cdot P SD \cdot B

Go Nyquist Rate

N r = 2 \cdot B

Go Information Rate

R = r s \cdot H[S]

How to Evaluate Symbol Rate?

Symbol Rate evaluator uses Symbol Rate = Information Rate/Entropy to evaluate the Symbol Rate, The Symbol Rate formula is defined as the number of symbol changes or transitions that occur per second in a digital communication system. In other words, it represents the rate at which symbols are transmitted over a communication channel. Symbol Rate is denoted by r_s symbol.

How to evaluate Symbol Rate using this online evaluator? To use this online evaluator for Symbol Rate, enter Information Rate (R) & Entropy (H[S]) and hit the calculate button.

FAQs on Symbol Rate

What is the formula to find Symbol Rate?

The formula of Symbol Rate is expressed as Symbol Rate = Information Rate/Entropy. Here is an example- 1000 = 1800/1.8.

How to calculate Symbol Rate?

With Information Rate (R) & Entropy (H[S]) we can find Symbol Rate using the formula - Symbol Rate = Information Rate/Entropy.

Can the Symbol Rate be negative?

No, the Symbol Rate, measured in Data Transfer cannot be negative.

Which unit is used to measure Symbol Rate?

Symbol Rate is usually measured using the Bit per Second[b/s] for Data Transfer. Kilobit per Second[b/s], Kilobyte per Second[b/s], Megabit per Second[b/s] are the few other units in which Symbol Rate can be measured.

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Symbol Rate Formula

Symbol Rate Example

Symbol Rate Solution

Symbol Rate Formula Elements

Other formulas in Continuous Channels category

How to Evaluate Symbol Rate?

FAQs on Symbol Rate

Variable Name