✖The Information rate is defined as the product of the average information content per symbol and the message symbol rate.ⓘ Information Rate [R]			+10% -10%
✖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.ⓘ Entropy [H[S]]			+10% -10%

✖Symbol Rate refers to the number of symbols transmitted per second in a digital communication system.ⓘ Symbol Rate [r_s]

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Formula

✖

Symbol Rate

Formula

`"r"_{"s"} = "R"/"H[S]"`

Example

`"1000b/s"="1800b/s"/"1.8b/s"`

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Symbol Rate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Symbol Rate = Information Rate/Entropy
r_s = R/H[S]
This formula uses 3 Variables

Variables Used

Symbol Rate - (Measured in Bit per Second) - Symbol Rate refers to the number of symbols transmitted per second in a digital communication system.
Information Rate - (Measured in Bit per Second) - The Information rate is defined as the product of the average information content per symbol and the message symbol rate.
Entropy - (Measured in Bit per Second) - 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.

STEP 1: Convert Input(s) to Base Unit

Information Rate: 1800 Bit per Second --> 1800 Bit per Second No Conversion Required
Entropy: 1.8 Bit per Second --> 1.8 Bit per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_s = R/H[S] --> 1800/1.8

Evaluating ... ...

r_s = 1000

STEP 3: Convert Result to Output's Unit

1000 Bit per Second --> No Conversion Required

FINAL ANSWER

1000 Bit per Second <-- Symbol Rate

(Calculation completed in 00.004 seconds)

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Created by Aman Dhussawat

GURU TEGH BAHADUR INSTITUTE OF TECHNOLOGY (GTBIT), NEW DELHI

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Symbol Rate Formula

Symbol Rate = Information Rate/Entropy
r_s = R/H[S]

What is meant by noise spectral density?

The noise spectral density of an ADC can be defined easily as the full-scale signal power of an ADC less the noise power, spread across 1 Hz bandwidth unit increments. A changing FFT sampling depth does not alter an ADC's spectral noise density. It only spreads the noise across different unit bandwidths of frequency.

How to Calculate Symbol Rate?

Symbol Rate calculator uses Symbol Rate = Information Rate/Entropy to calculate 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 calculate Symbol Rate using this online calculator? To use this online calculator for Symbol Rate, enter Information Rate (R) & Entropy (H[S]) and hit the calculate button. Here is how the Symbol Rate calculation can be explained with given input values -> 1000 = 1800/1.8.

FAQ

What is 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 and is represented as r_s = R/H[S] or Symbol Rate = Information Rate/Entropy. The Information rate is defined as the product of the average information content per symbol and the message symbol rate & 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.

How to calculate 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 is calculated using Symbol Rate = Information Rate/Entropy. To calculate Symbol Rate, you need Information Rate (R) & Entropy (H[S]). With our tool, you need to enter the respective value for Information Rate & Entropy 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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