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Carrier to Noise Ratio Formula

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The Carrier to Noise Ratio (CNR) is a measure of the quality of a signal in a communication channel. Check FAQs

CNR = \frac{P car}{P rin + P shot + P the}

CNR - Carrier to Noise Ratio?P_car - Carrier Power?P_rin - The Relative Intensity Noise (RIN) power?P_shot - Shot Noise Power?P_the - Thermal Noise Power?

Carrier to Noise Ratio Example

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Here is how the Carrier to Noise Ratio equation looks like with Values.

Here is how the Carrier to Noise Ratio equation looks like with Units.

Here is how the Carrier to Noise Ratio equation looks like.

11.6883 = \frac{0.9}{0.012 + 0.014 + 0.051}

11.6883 = \frac{0.9µW}{0.012µW + 0.014µW + 0.051µW}

11.6883 = \frac{0.9}{0.012 + 0.014 + 0.051}

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Carrier to Noise Ratio Solution

Follow our step by step solution on how to calculate Carrier to Noise Ratio?

FIRST Step Consider the formula

CNR = \frac{P car}{P rin + P shot + P the}

Next Step Substitute values of Variables

∴

CNR = \frac{0.9µW}{0.012µW + 0.014µW + 0.051µW}

Next Step Convert Units

∴

CNR = \frac{9E-7W}{1.2E-8W + 1.4E-8W + 5.1E-8W}

Next Step Prepare to Evaluate

∴

CNR = \frac{9E-7}{1.2E-8 + 1.4E-8 + 5.1E-8}

Next Step Evaluate

∴

CNR = 11.6883116883117

LAST Step Rounding Answer

∴

CNR = 11.6883

Carrier to Noise Ratio Formula Elements

Variables

Carrier to Noise Ratio

The Carrier to Noise Ratio (CNR) is a measure of the quality of a signal in a communication channel.

Symbol: CNR

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Carrier to Noise Ratio

Carrier Power

Carrier power in multi-channel optical systems is defined as one-half the square of the optical modulation index (m) times the optical power (P or IR).

Symbol: P_car

Measurement: PowerUnit: µW

Note: Value can be positive or negative.

Formulas to find Carrier Power

The Relative Intensity Noise (RIN) power

The Relative Intensity Noise (RIN) power is a type of signal source noise and is caused by the random fluctuations in the output power of a laser.

Symbol: P_rin

Measurement: PowerUnit: µW

Note: Value can be positive or negative.

Formulas to find The Relative Intensity Noise (RIN) power

Shot Noise Power

Shot noise Power is a type of electronic noise that can be modeled by a Poisson process and is caused by the discrete nature of electric charge.

Symbol: P_shot

Measurement: PowerUnit: µW

Note: Value should be greater than 0.

Formulas to find Shot Noise Power

Thermal Noise Power

Thermal noise power is unavoidable at non-zero temperature and is present in all electrical circuits.

Symbol: P_the

Measurement: PowerUnit: µW

Note: Value should be greater than 0.

Formulas to find Thermal Noise Power

Other formulas in Fiber Optic Parameters category

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η core = n 0 + n 2 \cdot (\frac{P i}{A eff})

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How to Evaluate Carrier to Noise Ratio?

Carrier to Noise Ratio evaluator uses Carrier to Noise Ratio = Carrier Power/(The Relative Intensity Noise (RIN) power+Shot Noise Power+Thermal Noise Power) to evaluate the Carrier to Noise Ratio, Carrier to Noise Ratio is defined as the ratio of the received modulated carrier signal power to the received noise power after the receiver filters. When both carrier and noise are measured across the same impedance, this ratio can equivalently be given as the ratio of the root mean square (RMS) voltage levels of the carrier signal and noise respectively. Carrier to Noise Ratio is denoted by CNR symbol.

How to evaluate Carrier to Noise Ratio using this online evaluator? To use this online evaluator for Carrier to Noise Ratio, enter Carrier Power (P_car), The Relative Intensity Noise (RIN) power (P_rin), Shot Noise Power (P_shot) & Thermal Noise Power (P_the) and hit the calculate button.

FAQs on Carrier to Noise Ratio

What is the formula to find Carrier to Noise Ratio?

The formula of Carrier to Noise Ratio is expressed as Carrier to Noise Ratio = Carrier Power/(The Relative Intensity Noise (RIN) power+Shot Noise Power+Thermal Noise Power). Here is an example- 11.68831 = 9E-07/(1.2E-08+1.4E-08+5.1E-08).

How to calculate Carrier to Noise Ratio?

With Carrier Power (P_car), The Relative Intensity Noise (RIN) power (P_rin), Shot Noise Power (P_shot) & Thermal Noise Power (P_the) we can find Carrier to Noise Ratio using the formula - Carrier to Noise Ratio = Carrier Power/(The Relative Intensity Noise (RIN) power+Shot Noise Power+Thermal Noise Power).

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Carrier to Noise Ratio Formula

Carrier to Noise Ratio Example

Carrier to Noise Ratio Solution

Carrier to Noise Ratio Formula Elements

Other formulas in Fiber Optic Parameters category

How to Evaluate Carrier to Noise Ratio?

FAQs on Carrier to Noise Ratio

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