LCM of three numbers

Power Penalty Calculator

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✖Extinction Ratio represents the ratio of the average power in a logic 1 to the average power in a logic 0.ⓘ Extinction Ratio [r_e]

+10%

-10%

✖Power Penalty is a measure of how much the received optical power deviates from the ideal power level due to various impairments in the system.ⓘ Power Penalty [P_er]

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Power Penalty Solution

STEP 0: Pre-Calculation Summary

Formula Used

Power Penalty = -10*log10((Extinction Ratio-1)/(Extinction Ratio+1))
P_er = -10*log10((r_e-1)/(r_e+1))
This formula uses 1 Functions, 2 Variables

Functions Used

log10 - The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function., log10(Number)

Variables Used

Power Penalty - (Measured in Decibel) - Power Penalty is a measure of how much the received optical power deviates from the ideal power level due to various impairments in the system.
Extinction Ratio - (Measured in Decibel) - Extinction Ratio represents the ratio of the average power in a logic 1 to the average power in a logic 0.

STEP 1: Convert Input(s) to Base Unit

Extinction Ratio: 10.9 Decibel --> 10.9 Decibel No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_er = -10*log10((r_e-1)/(r_e+1)) --> -10*log10((10.9-1)/(10.9+1))

Evaluating ... ...

P_er = 0.799117667949808

STEP 3: Convert Result to Output's Unit

0.799117667949808 Decibel --> No Conversion Required

FINAL ANSWER

0.799117667949808 ≈ 0.799118 Decibel <-- Power Penalty

(Calculation completed in 00.004 seconds)

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Credits

Created by Santhosh Yadav

Dayananda Sagar College Of Engineering (DSCE), Banglore

Santhosh Yadav has created this Calculator and 50+ more calculators!

Verified by Ritwik Tripathi

Vellore Institute of Technology (VIT Vellore), Vellore

Ritwik Tripathi has verified this Calculator and 100+ more calculators!

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Power Penalty Formula

LaTeX Go

Power Penalty = -10*log10((Extinction Ratio-1)/(Extinction Ratio+1))
P_er = -10*log10((r_e-1)/(r_e+1))

Why is Power Penalty important?

Power penalty, resulting from a nonideal Extinction Ratio (ER), is important in optical communication because it quantifies the impact of signal quality on data transmission. The Extinction Ratio represents the contrast between the optical signal's on and off states.

How to Calculate Power Penalty?

Power Penalty calculator uses Power Penalty = -10*log10((Extinction Ratio-1)/(Extinction Ratio+1)) to calculate the Power Penalty, Power penalty is a measure of how much the received optical power deviates from the ideal power level due to various impairments in the system. In the context of nonideal ER, power penalty quantifies the additional power loss or distortion in the received signal caused by an insufficient extinction ratio. Power Penalty is denoted by P_er symbol.

How to calculate Power Penalty using this online calculator? To use this online calculator for Power Penalty, enter Extinction Ratio (r_e) and hit the calculate button. Here is how the Power Penalty calculation can be explained with given input values -> 0.799118 = -10*log10((10.9-1)/(10.9+1)).

FAQ

What is Power Penalty?

Power penalty is a measure of how much the received optical power deviates from the ideal power level due to various impairments in the system. In the context of nonideal ER, power penalty quantifies the additional power loss or distortion in the received signal caused by an insufficient extinction ratio and is represented as P_er = -10*log10((r_e-1)/(r_e+1)) or Power Penalty = -10*log10((Extinction Ratio-1)/(Extinction Ratio+1)). Extinction Ratio represents the ratio of the average power in a logic 1 to the average power in a logic 0.

How to calculate Power Penalty?

Power penalty is a measure of how much the received optical power deviates from the ideal power level due to various impairments in the system. In the context of nonideal ER, power penalty quantifies the additional power loss or distortion in the received signal caused by an insufficient extinction ratio is calculated using Power Penalty = -10*log10((Extinction Ratio-1)/(Extinction Ratio+1)). To calculate Power Penalty, you need Extinction Ratio (r_e). With our tool, you need to enter the respective value for Extinction Ratio 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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