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

Created by Santhosh Yadav
Dayananda Sagar College Of Engineering (DSCE), Banglore
Santhosh Yadav has created this Calculator and 50+ more calculators!
Verified by Ritwik Tripathi
Vellore Institute of Technology (VIT Vellore), Vellore
Ritwik Tripathi has verified this Calculator and 100+ more calculators!

14 Radar Antennas Reception Calculators

Omnidirectional SIR
Go Omnidirectional SIR = 1/(2*(Frequency Reuse Ratio-1)^(-Propagation Path Loss Exponent)+2*(Frequency Reuse Ratio)^(-Propagation Path Loss Exponent)+2*(Frequency Reuse Ratio+1)^(-Propagation Path Loss Exponent))
Dielectric Constant of Artificial Dielectric
Go Dielectric Constant of Artificial Dielectric = 1+(4*pi*Radius of Metallic Spheres^3)/(Spacing between Centers of Metallic Sphere^3)
Maximum Gain of Antenna given Antenna Diameter
Go Maximum Gain of Antenna = (Antenna Aperture Efficiency/43)*(Antenna Diameter/Dielectric Constant of Artificial Dielectric)^2
Metal-Plate Lens Refractive Index
Go Metal Plate Refractive Index = sqrt(1-(Incident Wave Wavelength/(2*Spacing between Centers of Metallic Sphere))^2)
Spacing between Centers of Metallic Sphere
Go Spacing between Centers of Metallic Sphere = Incident Wave Wavelength/(2*sqrt(1-Metal Plate Refractive Index^2))
Overall Noise Figure of Cascaded Networks
Go Overall Noise Figure = Noise Figure Network 1+(Noise Figure Network 2-1)/Gain of Network 1
Receiver Antenna Gain
Go Receiver Antenna Gain = (4*pi*Effective Area of Receiving Antenna)/Carrier Wavelength^2
Luneburg Lens Refractive Index
Go Luneburg Lens Refractive Index = sqrt(2-(Radial Distance/Radius of Luneburg Lens)^2)
Likelihood Ratio Receiver
Go Likelihood Ratio Receiver = Probability Density Function of Signal and Noise/Probability Density Function of Noise
Frequency Reuse Ratio
Go Frequency Reuse Ratio = (6*Signal to Co-channel Interference Ratio)^(1/Propagation Path Loss Exponent)
Directive Gain
Go Directive Gain = (4*pi)/(Beam Width in X-plane*Beam Width in Y-plane)
Signal to Co-channel Interference Ratio
Go Signal to Co-channel Interference Ratio = (1/6)*Frequency Reuse Ratio^Propagation Path Loss Exponent
Effective Aperture of Lossless Antenna
Go Effective Aperture of Lossless Antenna = Antenna Aperture Efficiency*Physical Area of an Antenna
Effective Noise Temperature
Go Effective Noise Temperature = (Overall Noise Figure-1)*Noise Temperature Network 1

Likelihood Ratio Receiver Formula

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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