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Average Probability of Correct Decision Formula

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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. Check FAQs

P c = 1 - P e

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

Average Probability of Correct Decision Example

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

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

Here is how the Average Probability of Correct Decision equation looks like.

0.6 = 1 - 0.4

0.6 = 1 - 0.4

0.6 = 1 - 0.4

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Average Probability of Correct Decision Solution

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

FIRST Step Consider the formula

P c = 1 - P e

Next Step Substitute values of Variables

∴

P c = 1 - 0.4

Next Step Prepare to Evaluate

∴

P c = 1 - 0.4

LAST Step Evaluate

∴

P c = 0.6

Average Probability of Correct Decision Formula Elements

Variables

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

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

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 Correct Decision?

Average Probability of Correct Decision evaluator uses Average Probability of Correct Decision = 1-Average Probability of Error to evaluate the Average Probability of Correct Decision, The 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. Average Probability of Correct Decision is denoted by P_c symbol.

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

FAQs on Average Probability of Correct Decision

What is the formula to find Average Probability of Correct Decision?

The formula of Average Probability of Correct Decision is expressed as Average Probability of Correct Decision = 1-Average Probability of Error. Here is an example- 0.5 = 1-0.4.

How to calculate Average Probability of Correct Decision?

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

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