Likelihood Ratio Receiver Formula

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Likelihood Ratio Receiver is the measure of probability of occurrence of one event. In this case, noise or signal occurrence in receiver. Check FAQs
Lr=PsnPn
Lr - Likelihood Ratio Receiver?Psn - Probability Density Function of Signal and Noise?Pn - Probability Density Function of Noise?

Likelihood Ratio Receiver Example

With values
With units
Only example

Here is how the Likelihood Ratio Receiver equation looks like with Values.

Here is how the Likelihood Ratio Receiver equation looks like with Units.

Here is how the Likelihood Ratio Receiver equation looks like.

2.8453Edit=0.754Edit0.265Edit
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Likelihood Ratio Receiver Solution

Follow our step by step solution on how to calculate Likelihood Ratio Receiver?

FIRST Step Consider the formula
Lr=PsnPn
Next Step Substitute values of Variables
Lr=0.7540.265
Next Step Prepare to Evaluate
Lr=0.7540.265
Next Step Evaluate
Lr=2.84528301886792
LAST Step Rounding Answer
Lr=2.8453

Likelihood Ratio Receiver Formula Elements

Variables
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.
Symbol: Lr
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
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.
Symbol: Psn
Measurement: NAUnit: Unitless
Note: Value should be between 0 to 1.
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.
Symbol: Pn
Measurement: NAUnit: Unitless
Note: Value should be between 0 to 1.

Other formulas in Radar Antennas Reception category

​Go Directive Gain
Gd=4πθbφb
​Go Spacing between Centers of Metallic Sphere
s=λm21-ηm2
​Go Effective Aperture of Lossless Antenna
Ae=ηaA
​Go Dielectric Constant of Artificial Dielectric
e=1+4πa3s3

How to Evaluate Likelihood Ratio Receiver?

Likelihood Ratio Receiver evaluator uses Likelihood Ratio Receiver = Probability Density Function of Signal and Noise/Probability Density Function of Noise to evaluate 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 evaluate Likelihood Ratio Receiver using this online evaluator? To use this online evaluator for Likelihood Ratio Receiver, enter Probability Density Function of Signal and Noise (Psn) & Probability Density Function of Noise (Pn) and hit the calculate button.

FAQs on Likelihood Ratio Receiver

What is the formula to find Likelihood Ratio Receiver?
The formula of Likelihood Ratio Receiver is expressed as Likelihood Ratio Receiver = Probability Density Function of Signal and Noise/Probability Density Function of Noise. Here is an example- 2.845283 = 0.754/0.265.
How to calculate Likelihood Ratio Receiver?
With Probability Density Function of Signal and Noise (Psn) & Probability Density Function of Noise (Pn) we can find Likelihood Ratio Receiver using the formula - Likelihood Ratio Receiver = Probability Density Function of Signal and Noise/Probability Density Function of Noise.
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