HCF calculator

Bit Error Rate given SNR Calculator

Engineering Chemistry Financial Health More >>

↳

Electronics Chemical Engineering Civil Electrical More >>

⤿

Fiber Optic Transmission Amplifiers Analog Communications Analog Electronics More >>

⤿

Transmission Measurements C V Actions of Optics Transmission Fiber Optic Parameters Optical Detectors

✖Signal to Noise Ratio of Photodetector .ⓘ Signal to Noise Ratio of Photodetector [SNR_opt]

+10%

-10%

✖Bit Error Rate is defined as the ratio of the number of bit errors to the total number of bits transmitted over a communication channel.ⓘ Bit Error Rate given SNR [BER_opt]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Electronics Formula PDF PDF Image

Bit Error Rate given SNR Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bit Error Rate = (1/sqrt(2*pi))*(exp(-Signal to Noise Ratio of Photodetector^2/2))/Signal to Noise Ratio of Photodetector
BER_opt = (1/sqrt(2*pi))*(exp(-SNR_opt^2/2))/SNR_opt
This formula uses 1 Constants, 2 Functions, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Bit Error Rate - Bit Error Rate is defined as the ratio of the number of bit errors to the total number of bits transmitted over a communication channel.
Signal to Noise Ratio of Photodetector - Signal to Noise Ratio of Photodetector .

STEP 1: Convert Input(s) to Base Unit

Signal to Noise Ratio of Photodetector: 0.151 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

BER_opt = (1/sqrt(2*pi))*(exp(-SNR_opt^2/2))/SNR_opt --> (1/sqrt(2*pi))*(exp(-0.151^2/2))/0.151

Evaluating ... ...

BER_opt = 2.67229434579719

STEP 3: Convert Result to Output's Unit

2.67229434579719 --> No Conversion Required

FINAL ANSWER

2.67229434579719 ≈ 2.672294 <-- Bit Error Rate

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electronics » Fiber Optic Transmission » Transmission Measurements » Bit Error Rate given SNR

Credits

Created by Vaidehi Singh

Prabhat Engineering College (P.E.C.), Uttar Pradesh

Vaidehi Singh has created this Calculator and 25+ more calculators!

Verified by Santhosh Yadav

Dayananda Sagar College Of Engineering (DSCE), Banglore

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

< Transmission Measurements Calculators

Time Constant of Calorimeter

LaTeX Go Time Constant = (Time Instance 2-Time Instance 1)/(ln(Maximum Temperature Rise-Temperature At Time t1)-ln(Maximum Temperature Rise-Temperature At Time t2))

Optical Attenuation

LaTeX Go Attenuation Per Unit Length = 10/(Length Of Cable-Cut Length)*log10(Photoreceiver Voltage At Cut Length/Photoreceiver Voltage At Full Length)

Absorption Loss

LaTeX Go Absorption Loss = (Thermal Capacity*Maximum Temperature Rise)/(Optical Power*Time Constant)

Scattering Loss

LaTeX Go Scattering Loss = ((4.343*10^5)/Fiber Length)*(Constant Output Optical Power/Output Optical Power)

Bit Error Rate given SNR Formula

LaTeX Go

Bit Error Rate = (1/sqrt(2*pi))*(exp(-Signal to Noise Ratio of Photodetector^2/2))/Signal to Noise Ratio of Photodetector
BER_opt = (1/sqrt(2*pi))*(exp(-SNR_opt^2/2))/SNR_opt

What is the significance of Bit Error Rate?

Bit Error Rate (BER) is a crucial parameter in digital communication systems. It quantifies the performance and reliability of a system by measuring the ratio of incorrectly transmitted bits to all transmitted bits over a given time period. A system with a high BER indicates more frequent errors, leading to poor performance and user experience, while a low BER represents a more reliable and efficient system. In BER testing, real sample data is transmitted over the appropriate protocol. The BER test shows the true real-world performance of the network, inclusive of the active components. The BER can be used to determine the quality of a signal and the relative success of packet delivery.

How to Calculate Bit Error Rate given SNR?

Bit Error Rate given SNR calculator uses Bit Error Rate = (1/sqrt(2*pi))*(exp(-Signal to Noise Ratio of Photodetector^2/2))/Signal to Noise Ratio of Photodetector to calculate the Bit Error Rate, Bit Error Rate given SNR is a key parameter that quantifies the performance of a digital communication system. It is defined as the ratio of the number of bit errors to the total number of bits transmitted, received, or processed over a communication channel. In other words, it is the number of received bits of a data stream over a communication channel that have been altered due to noise, interference, distortion, or bit synchronization errors. Bit Error Rate is denoted by BER_opt symbol.

How to calculate Bit Error Rate given SNR using this online calculator? To use this online calculator for Bit Error Rate given SNR, enter Signal to Noise Ratio of Photodetector (SNR_opt) and hit the calculate button. Here is how the Bit Error Rate given SNR calculation can be explained with given input values -> 2.672294 = (1/sqrt(2*pi))*(exp(-0.151^2/2))/0.151.

FAQ

What is Bit Error Rate given SNR?

Bit Error Rate given SNR is a key parameter that quantifies the performance of a digital communication system. It is defined as the ratio of the number of bit errors to the total number of bits transmitted, received, or processed over a communication channel. In other words, it is the number of received bits of a data stream over a communication channel that have been altered due to noise, interference, distortion, or bit synchronization errors and is represented as BER_opt = (1/sqrt(2*pi))*(exp(-SNR_opt^2/2))/SNR_opt or Bit Error Rate = (1/sqrt(2*pi))*(exp(-Signal to Noise Ratio of Photodetector^2/2))/Signal to Noise Ratio of Photodetector. Signal to Noise Ratio of Photodetector .

How to calculate Bit Error Rate given SNR?

Bit Error Rate given SNR is a key parameter that quantifies the performance of a digital communication system. It is defined as the ratio of the number of bit errors to the total number of bits transmitted, received, or processed over a communication channel. In other words, it is the number of received bits of a data stream over a communication channel that have been altered due to noise, interference, distortion, or bit synchronization errors is calculated using Bit Error Rate = (1/sqrt(2*pi))*(exp(-Signal to Noise Ratio of Photodetector^2/2))/Signal to Noise Ratio of Photodetector. To calculate Bit Error Rate given SNR, you need Signal to Noise Ratio of Photodetector (SNR_opt). With our tool, you need to enter the respective value for Signal to Noise Ratio of Photodetector and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search