Likelihood Ratio Receiver Solution

STEP 0: Pre-Calculation Summary
Formula Used
Likelihood Ratio Receiver = Probability Density Function of Signal and Noise/Probability Density Function of Noise
Lr = Psn/Pn
This formula uses 3 Variables
Variables Used
Likelihood Ratio Receiver - Likelihood Ratio Receiver is the measure of probability of occurrence of one event. In this case, noise or signal occurrence in receiver.
Probability Density Function of Signal and Noise - Probability Density Function of Signal and Noise describes the likelihood of signal having certain values or falling under certain ranges.
Probability Density Function of Noise - Probability Density Function of Noise describes the likelihood of signal having certain values of noise or falling under certain ranges.
STEP 1: Convert Input(s) to Base Unit
Probability Density Function of Signal and Noise: 0.754 --> No Conversion Required
Probability Density Function of Noise: 0.265 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Lr = Psn/Pn --> 0.754/0.265
Evaluating ... ...
Lr = 2.84528301886792
STEP 3: Convert Result to Output's Unit
2.84528301886792 --> No Conversion Required
FINAL ANSWER
2.84528301886792 2.845283 <-- Likelihood Ratio Receiver
(Calculation completed in 00.004 seconds)

Credits

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Created by Santhosh Yadav
Dayananda Sagar College Of Engineering (DSCE), Banglore
Santhosh Yadav has created this Calculator and 50+ more calculators!
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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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Likelihood Ratio Receiver Formula

​LaTeX ​Go
Likelihood Ratio Receiver = Probability Density Function of Signal and Noise/Probability Density Function of Noise
Lr = Psn/Pn

How are decisions made using Likelihood Ratio?

The likelihood ratio serves as a decision metric in hypothesis testing. When comparing likelihoods under different hypotheses, it provides a measure of which hypothesis is more likely given the observed data. A likelihood ratio greater than 1 indicates that the hypothesis in the numerator is more likely, while a likelihood ratio less than 1 suggests that the hypothesis in the denominator is more likely.

How to Calculate Likelihood Ratio Receiver?

Likelihood Ratio Receiver calculator uses Likelihood Ratio Receiver = Probability Density Function of Signal and Noise/Probability Density Function of Noise to calculate the Likelihood Ratio Receiver, Likelihood Ratio Receiver is a type of receiver used in communication systems to make decisions about the transmitted message or signal. It is a theoretical receiver that aims to maximize the probability of correct decision-making in the presence of noise and other impairments. Likelihood Ratio Receiver is denoted by Lr symbol.

How to calculate Likelihood Ratio Receiver using this online calculator? To use this online calculator for Likelihood Ratio Receiver, enter Probability Density Function of Signal and Noise (Psn) & Probability Density Function of Noise (Pn) and hit the calculate button. Here is how the Likelihood Ratio Receiver calculation can be explained with given input values -> 2.845283 = 0.754/0.265.

FAQ

What is Likelihood Ratio Receiver?
Likelihood Ratio Receiver is a type of receiver used in communication systems to make decisions about the transmitted message or signal. It is a theoretical receiver that aims to maximize the probability of correct decision-making in the presence of noise and other impairments and is represented as Lr = Psn/Pn or Likelihood Ratio Receiver = Probability Density Function of Signal and Noise/Probability Density Function of Noise. Probability Density Function of Signal and Noise describes the likelihood of signal having certain values or falling under certain ranges & Probability Density Function of Noise describes the likelihood of signal having certain values of noise or falling under certain ranges.
How to calculate Likelihood Ratio Receiver?
Likelihood Ratio Receiver is a type of receiver used in communication systems to make decisions about the transmitted message or signal. It is a theoretical receiver that aims to maximize the probability of correct decision-making in the presence of noise and other impairments is calculated using Likelihood Ratio Receiver = Probability Density Function of Signal and Noise/Probability Density Function of Noise. To calculate Likelihood Ratio Receiver, you need Probability Density Function of Signal and Noise (Psn) & Probability Density Function of Noise (Pn). With our tool, you need to enter the respective value for Probability Density Function of Signal and Noise & Probability Density Function of Noise 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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