Information Rate Calculator

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Continuous Channels

Source Coding

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

✖The Information rate is defined as the product of the average information content per symbol and the message symbol rate.ⓘ Information Rate [R]

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Formula

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Information Rate

Formula

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

Example

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

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Information Rate Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Symbol Rate - (Measured in Bit per Second) - Symbol Rate refers to the number of symbols transmitted per second in a digital communication system.
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

Symbol Rate: 1000 Bit per Second --> 1000 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 = r_s*H[S] --> 1000*1.8

Evaluating ... ...

R = 1800

STEP 3: Convert Result to Output's Unit

1800 Bit per Second --> No Conversion Required

FINAL ANSWER

1800 Bit per Second <-- Information Rate

(Calculation completed in 00.004 seconds)

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Created by Bhuvana

BMS collegeof engineering (BMSCE), Benagluru

Bhuvana has created this Calculator and 25+ more calculators!

Verified by Rachita C

BMS College Of Engineering (BMSCE), Banglore

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Go Symbol Rate = Information Rate/Entropy

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Go Maximum Entropy = log2(Total Symbol)

Nyquist Rate

Go Nyquist Rate = 2*Channel Bandwidth

Information Rate Formula

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

What is information?

The quantity of “information” is actually all about storage. The storage of information in bits. In information theory, we think about the noisy communication channel which is used to communicate some events from one side to the other.

What is information theory?

Information theory is the scientific study of the quantification, storage, and communication of information.Applications of fundamental topics of information theory include source coding/data compression.

How to Calculate Information Rate?

Information Rate calculator uses Information Rate = Symbol Rate*Entropy to calculate the Information Rate, The Information Rate is defined as the product of the average information content per symbol and the message symbol rate. Information Rate is denoted by R symbol.

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

FAQ

What is Information Rate?

The Information Rate is defined as the product of the average information content per symbol and the message symbol rate and is represented as R = r_s*H[S] or Information Rate = Symbol Rate*Entropy. Symbol Rate refers to the number of symbols transmitted per second in a digital communication system & 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 Information Rate?

The Information Rate is defined as the product of the average information content per symbol and the message symbol rate is calculated using Information Rate = Symbol Rate*Entropy. To calculate Information Rate, you need Symbol Rate (r_s) & Entropy (H[S]). With our tool, you need to enter the respective value for Symbol 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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