## Carrier to Noise Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Carrier to Noise Ratio = Carrier Power/(The Relative Intensity Noise (RIN) power+Shot Noise Power+Thermal Noise Power)
CNR = Pcar/(Prin+Pshot+Pthe)
This formula uses 5 Variables
Variables Used
Carrier to Noise Ratio - The Carrier to Noise Ratio (CNR) is a measure of the quality of a signal in a communication channel.
Carrier Power - (Measured in Watt) - 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).
The Relative Intensity Noise (RIN) power - (Measured in Watt) - 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.
Shot Noise Power - (Measured in Watt) - 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.
Thermal Noise Power - (Measured in Watt) - Thermal noise power is unavoidable at non-zero temperature and is present in all electrical circuits.
STEP 1: Convert Input(s) to Base Unit
Carrier Power: 0.9 Microwatt --> 9E-07 Watt (Check conversion here)
The Relative Intensity Noise (RIN) power: 0.012 Microwatt --> 1.2E-08 Watt (Check conversion here)
Shot Noise Power: 0.014 Microwatt --> 1.4E-08 Watt (Check conversion here)
Thermal Noise Power: 0.051 Microwatt --> 5.1E-08 Watt (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
CNR = Pcar/(Prin+Pshot+Pthe) --> 9E-07/(1.2E-08+1.4E-08+5.1E-08)
Evaluating ... ...
CNR = 11.6883116883117
STEP 3: Convert Result to Output's Unit
11.6883116883117 --> No Conversion Required
11.6883116883117 11.68831 <-- Carrier to Noise Ratio
(Calculation completed in 00.004 seconds)
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## Credits

Created by Vaidehi Singh
Prabhat Engineering College (P.E.C.), Uttar Pradesh
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## < 10+ Fiber Optic Parameters Calculators

Total System Rise Time
Total System Rise Time = sqrt(Transmitter Rise Time^2+Modal Dispersion Time^2+Fiber Rise Time^2+Pulse Spreading Time^2+Receiver Rise Time^2)
Power Penalty Arising from Chromatic Dispersion
Chromatic Dispersion Power Penalty in dB = -5*log10(1-(4*Bit Rate*Length of Optical Fiber*Chromatic Dispersion Coefficient*Free Spectral Range Wavelength)^2)
Reflected Power
Reflected Power of the Fiber = Incident Power*((Refractive Index of Core-Refractive Index of Air)/(Refractive Index of Core+Refractive Index of Air))^2
Refractive Index of Material Given Optical Power
Refractive Index of Core = Ordinary Refractive Index+Non Linear Index Coefficient*(Incident Optical Power/Effective Area)
Carrier to Noise Ratio
Carrier to Noise Ratio = Carrier Power/(The Relative Intensity Noise (RIN) power+Shot Noise Power+Thermal Noise Power)
Maximum Nominal Channel Power
Maximum Nominal Channel Power in dB = Class 3A Laser Output Power in dB-10*log10(Wavelength Division Multiplexing Channels)
Total Dispersion
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Number of Mixing Products in Four Wave Mixing
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## Carrier to Noise Ratio Formula

Carrier to Noise Ratio = Carrier Power/(The Relative Intensity Noise (RIN) power+Shot Noise Power+Thermal Noise Power)
CNR = Pcar/(Prin+Pshot+Pthe)

## What is the significance of Carrier to Noise Ratio?

High CNR values provide good quality of reception, for example, low bit error rate (BER) of a digital message signal, or high signal-to-noise ratio (SNR) of an analog message signal. The quality of the received signal determines the data rate, the coverage area, and the capacity of the system. A low CNR can result in poor call quality, dropped calls, and slow data rates. CNR is often used in calculating link budget, and it describes the clarity of the signal.

## How to Calculate Carrier to Noise Ratio?

Carrier to Noise Ratio calculator uses Carrier to Noise Ratio = Carrier Power/(The Relative Intensity Noise (RIN) power+Shot Noise Power+Thermal Noise Power) to calculate 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 calculate Carrier to Noise Ratio using this online calculator? To use this online calculator for Carrier to Noise Ratio, enter Carrier Power (Pcar), The Relative Intensity Noise (RIN) power (Prin), Shot Noise Power (Pshot) & Thermal Noise Power (Pthe) and hit the calculate button. Here is how the Carrier to Noise Ratio calculation can be explained with given input values -> 11.68831 = 9E-07/(1.2E-08+1.4E-08+5.1E-08).

### FAQ

What is 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 and is represented as CNR = Pcar/(Prin+Pshot+Pthe) or Carrier to Noise Ratio = Carrier Power/(The Relative Intensity Noise (RIN) power+Shot Noise Power+Thermal Noise 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), 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, 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 & Thermal noise power is unavoidable at non-zero temperature and is present in all electrical circuits.
How to calculate 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 is calculated using Carrier to Noise Ratio = Carrier Power/(The Relative Intensity Noise (RIN) power+Shot Noise Power+Thermal Noise Power). To calculate Carrier to Noise Ratio, you need Carrier Power (Pcar), The Relative Intensity Noise (RIN) power (Prin), Shot Noise Power (Pshot) & Thermal Noise Power (Pthe). With our tool, you need to enter the respective value for Carrier Power, The Relative Intensity Noise (RIN) power, Shot Noise Power & Thermal Noise Power 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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