Average Probability of Correct Decision Calculator

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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 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 Correct Decision

Formula

`"P"_{"c"} = 1-"P"_{"e"}`

Example

`"0.6"=1-"0.4"`

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Average Probability of Correct Decision Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Average Probability of Error: 0.4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_c = 1-P_e --> 1-0.4

Evaluating ... ...

P_c = 0.6

STEP 3: Convert Result to Output's Unit

0.6 --> No Conversion Required

FINAL ANSWER

0.6 <-- Average Probability of Correct Decision

(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 600+ more calculators!

< 14 Data Transmissions and Error Analysis Calculators

Maximum Possible Data Rate over Channel

Go Channel Capacity = 2*Radio Channel Bandwidth*log2(1+(Average Signal Power/Average Noise Power))

Average SNR per Bit

Go Average SNR per Bit = Average Signal Power/(2*Number of Bits per Symbol*Average Noise Power)

Average Signal Power per Bit

Go Average Signal Power per Bit = Average Signal Power/Number of Bits per Symbol

Average Signal Power

Go Average Signal Power = Average Signal Power per Bit*Number of Bits per Symbol

Number of Symbol in Error

Go Number of Symbols in Error = Symbol Error Rate*Number of Symbols Transmitted

Symbol Error Rate

Go Symbol Error Rate = Number of Symbols in Error/Number of Symbols Transmitted

Number of Bits in Error

Go Number of Bits in Error = Bit Error Rate*Total Number of Bits Transmitted

Bit Error Rate

Go Bit Error Rate = Number of Bits in Error/Total Number of Bits Transmitted

Average SNR for Two Dimensional Constellation

Go Average SNR = Average Signal Power/(2*Average Noise Power)

Average Signal Power for Two Dimensional Constellation

Go Average Signal Power = 2*Average SNR*Average Noise Power

Symbol Rate given Bit Rate

Go Symbol Rate = Bit Rate/Number of Bits per Symbol

Number of Bits per Symbol

Go Number of Bits per Symbol = Bit Rate/Symbol Rate

Average Probability of Correct Decision

Go Average Probability of Correct Decision = 1-Average Probability of Error

Average Probability of Error

Go Average Probability of Error = 1-Average Probability of Correct Decision

Average Probability of Correct Decision Formula

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

What is Average Probability of Error ?

Average Probability of Error is a metric used in digital communication systems to quantify the likelihood of incorrect bit reception over a transmission channel.

How to Calculate Average Probability of Correct Decision?

Average Probability of Correct Decision calculator uses Average Probability of Correct Decision = 1-Average Probability of Error to calculate 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 calculate Average Probability of Correct Decision using this online calculator? To use this online calculator for Average Probability of Correct Decision, enter Average Probability of Error (P_e) and hit the calculate button. Here is how the Average Probability of Correct Decision calculation can be explained with given input values -> 0.5 = 1-0.4.

FAQ

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 and is represented as P_c = 1-P_e or Average Probability of Correct Decision = 1-Average Probability of Error. Average Probability of Error represents the average probability that a transmitted bit is received incorrectly.

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