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Noise Figure given ASE Noise Power Formula

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The Noise Figure in fiber optics is a measure of how much excess noise an optical amplifier adds to the signal. Check FAQs

F n = 10 \cdot \log 10 (\frac{P ASE}{G s \cdot [hP] \cdot f \cdot B})

F_n - Noise Figure?P_ASE - ASE Noise Power?G_s - Single Pass Gain?f - Frequency Of Incident Light?B - Post Detection Bandwidth?[hP] - Planck constant?

Noise Figure given ASE Noise Power Example

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Here is how the Noise Figure given ASE Noise Power equation looks like with Values.

Here is how the Noise Figure given ASE Noise Power equation looks like with Units.

Here is how the Noise Figure given ASE Noise Power equation looks like.

36.0809 = 10 \cdot \log 10 (\frac{0.0004}{1000.01 \cdot 6.6E-34 \cdot 20 \cdot 8E+6})

36.0809 = 10 \cdot \log 10 (\frac{0.0004fW}{1000.01 \cdot 6.6E-34 \cdot 20Hz \cdot 8E+6Hz})

36.0809 = 10 \cdot \log 10 (\frac{0.0004}{1000.01 \cdot 6.6E-34 \cdot 20 \cdot 8E+6})

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Noise Figure given ASE Noise Power Solution

Follow our step by step solution on how to calculate Noise Figure given ASE Noise Power?

FIRST Step Consider the formula

F n = 10 \cdot \log 10 (\frac{P ASE}{G s \cdot [hP] \cdot f \cdot B})

Next Step Substitute values of Variables

∴

F n = 10 \cdot \log 10 (\frac{0.0004fW}{1000.01 \cdot [hP] \cdot 20Hz \cdot 8E+6Hz})

Next Step Substitute values of Constants

∴

F n = 10 \cdot \log 10 (\frac{0.0004fW}{1000.01 \cdot 6.6E-34 \cdot 20Hz \cdot 8E+6Hz})

Next Step Convert Units

∴

F n = 10 \cdot \log 10 (\frac{4.3E-19W}{1000.01 \cdot 6.6E-34 \cdot 20Hz \cdot 8E+6Hz})

Next Step Prepare to Evaluate

∴

F n = 10 \cdot \log 10 (\frac{4.3E-19}{1000.01 \cdot 6.6E-34 \cdot 20 \cdot 8E+6})

Next Step Evaluate

∴

F n = 36.0808810777778

LAST Step Rounding Answer

∴

F n = 36.0809

Noise Figure given ASE Noise Power Formula Elements

Variables

Constants

Functions

Noise Figure

The Noise Figure in fiber optics is a measure of how much excess noise an optical amplifier adds to the signal.

Symbol: F_n

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Noise Figure

ASE Noise Power

ASE Noise Power refers to the noise effect in an optical amplifier, which arises from a quantum effect known as spontaneous emission.

Symbol: P_ASE

Measurement: PowerUnit: fW

Note: Value should be greater than 0.

Formulas to find ASE Noise Power

Single Pass Gain

Single Pass Gain refers to the fractional increase in energy as light makes a single pass through a medium.

Symbol: G_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Single Pass Gain

Frequency Of Incident Light

Frequency of incident light is a measure of how many cycles (oscillations) of the electromagnetic wave occur per second.

Symbol: f

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Frequency Of Incident Light

Post Detection Bandwidth

Post Detection Bandwidth refers to the bandwidth of the electrical signal after it has been detected and converted from an optical signal.

Symbol: B

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Post Detection Bandwidth

Planck constant

Planck constant is a fundamental universal constant that defines the quantum nature of energy and relates the energy of a photon to its frequency.

Symbol: [hP]

Value: 6.626070040E-34

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.

Syntax: log10(Number)

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How to Evaluate Noise Figure given ASE Noise Power?

Noise Figure given ASE Noise Power evaluator uses Noise Figure = 10*log10(ASE Noise Power/(Single Pass Gain*[hP]*Frequency Of Incident Light*Post Detection Bandwidth)) to evaluate the Noise Figure, Noise Figure given ASE Noise Power is also referred to as the noise factor. These terms are used to indicate the degradation of the signal-to-noise ratio (SNR) caused by components in a signal chain. They are figures of merit used to evaluate the performance of an amplifier or a radio receiver, with lower values indicating better performance. Noise Figure is denoted by F_n symbol.

How to evaluate Noise Figure given ASE Noise Power using this online evaluator? To use this online evaluator for Noise Figure given ASE Noise Power, enter ASE Noise Power (P_ASE), Single Pass Gain (G_s), Frequency Of Incident Light (f) & Post Detection Bandwidth (B) and hit the calculate button.

FAQs on Noise Figure given ASE Noise Power

What is the formula to find Noise Figure given ASE Noise Power?

The formula of Noise Figure given ASE Noise Power is expressed as Noise Figure = 10*log10(ASE Noise Power/(Single Pass Gain*[hP]*Frequency Of Incident Light*Post Detection Bandwidth)). Here is an example- 36.08092 = 10*log10(4.3E-19/(1000.01*[hP]*20*8000000)).

How to calculate Noise Figure given ASE Noise Power?

With ASE Noise Power (P_ASE), Single Pass Gain (G_s), Frequency Of Incident Light (f) & Post Detection Bandwidth (B) we can find Noise Figure given ASE Noise Power using the formula - Noise Figure = 10*log10(ASE Noise Power/(Single Pass Gain*[hP]*Frequency Of Incident Light*Post Detection Bandwidth)). This formula also uses Planck constant and Common Logarithm (log10) function(s).

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Noise Figure given ASE Noise Power Formula

Noise Figure given ASE Noise Power Example

Noise Figure given ASE Noise Power Solution

Noise Figure given ASE Noise Power Formula Elements

Other formulas in C V Actions of Optics Transmission category

How to Evaluate Noise Figure given ASE Noise Power?

FAQs on Noise Figure given ASE Noise Power

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