Average Probability of Error Calculator

✖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 [P_c]

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✖Average Probability of Error represents the average probability that a transmitted bit is received incorrectly.ⓘ Average Probability of Error [P_e]

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Average Probability of Error Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average Probability of Error = 1-Average Probability of Correct Decision
P_e = 1-P_c
This formula uses 2 Variables

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Average Probability of Correct Decision: 0.6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_e = 1-P_c --> 1-0.6

Evaluating ... ...

P_e = 0.4

STEP 3: Convert Result to Output's Unit

0.4 --> No Conversion Required

FINAL ANSWER

0.4 <-- Average Probability of Error

(Calculation completed in 00.004 seconds)

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Credits

Created by Simran Shravan Nishad

Sinhgad College Of Engineering (SCOE), Pune

Simran Shravan Nishad has created this Calculator and 25+ more calculators!

Verified by Parminder Singh

Chandigarh University (CU), Punjab

Parminder Singh has verified this Calculator and 500+ more calculators!

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Average Probability of Error Formula

LaTeX Go

Average Probability of Error = 1-Average Probability of Correct Decision
P_e = 1-P_c

What is 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.

How to Calculate Average Probability of Error?

Average Probability of Error calculator uses Average Probability of Error = 1-Average Probability of Correct Decision to calculate 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 calculate Average Probability of Error using this online calculator? To use this online calculator for Average Probability of Error, enter Average Probability of Correct Decision (P_c) and hit the calculate button. Here is how the Average Probability of Error calculation can be explained with given input values -> 0.4 = 1-0.6.

FAQ

What is 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 and is represented as P_e = 1-P_c or Average Probability of Error = 1-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.

How to calculate 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 is calculated using Average Probability of Error = 1-Average Probability of Correct Decision. To calculate Average Probability of Error, you need Average Probability of Correct Decision (P_c). With our tool, you need to enter the respective value for Average Probability of Correct Decision 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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