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Average Probability of Error Formula

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Average Probability of Error represents the average probability that a transmitted bit is received incorrectly. Check FAQs

P e = 1 - P c

P_e - Average Probability of Error?P_c - Average Probability of Correct Decision?

Average Probability of Error Example

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Here is how the Average Probability of Error equation looks like with Values.

Here is how the Average Probability of Error equation looks like with Units.

Here is how the Average Probability of Error equation looks like.

0.4 = 1 - 0.6

0.4 = 1 - 0.6

0.4 = 1 - 0.6

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Average Probability of Error Solution

Follow our step by step solution on how to calculate Average Probability of Error?

FIRST Step Consider the formula

P e = 1 - P c

Next Step Substitute values of Variables

∴

P e = 1 - 0.6

Next Step Prepare to Evaluate

∴

P e = 1 - 0.6

LAST Step Evaluate

∴

P e = 0.4

Average Probability of Error Formula Elements

Variables

Average Probability of Error

Average Probability of Error represents the average probability that a transmitted bit is received incorrectly.

Symbol: P_e

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Average Probability of Error

Average Probability of Correct Decision

Average Probability of Correct Decision is a metric used in signal detection theory to quantify the average likelihood of correctly detecting a signal in the presence of noise or interference.

Symbol: P_c

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Average Probability of Correct Decision

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 Symbol Rate given Bit Rate

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

How to Evaluate Average Probability of Error?

Average Probability of Error evaluator uses Average Probability of Error = 1-Average Probability of Correct Decision to evaluate the Average Probability of Error, The Average Probability of Error is a metric used in digital communication systems to quantify the likelihood of incorrect bit reception over a transmission channel. Average Probability of Error is denoted by P_e symbol.

How to evaluate Average Probability of Error using this online evaluator? To use this online evaluator for Average Probability of Error, enter Average Probability of Correct Decision (P_c) and hit the calculate button.

FAQs on Average Probability of Error

What is the formula to find Average Probability of Error?

The formula of Average Probability of Error is expressed as Average Probability of Error = 1-Average Probability of Correct Decision. Here is an example- 0.4 = 1-0.6.

How to calculate Average Probability of Error?

With Average Probability of Correct Decision (P_c) we can find Average Probability of Error using the formula - Average Probability of Error = 1-Average Probability of Correct Decision.

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