Effective Noise Temperature Calculator

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Radar Antennas Reception

Radar & Antenna Specifications

Special Purpose Radars

✖Overall Noise Figure quantifies how much the device degrades the signal-to-noise ratio (SNR) of the input signal as it passes through the system.ⓘ Overall Noise Figure [F_o]			+10% -10%
✖Noise Temperature Network 1 defined as the temperature at the input of the network which would account for the noise ΔN at the output.ⓘ Noise Temperature Network 1 [T_o]			+10% -10%

✖Effective Noise Temperature represents the equivalent temperature of noise that, would produce the same amount of noise power as the actual devices or components in the system.ⓘ Effective Noise Temperature [T_e]

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Formula

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Effective Noise Temperature

Formula

`"T"_{"e"} = ("F"_{"o"}-1)*"T"_{"o"}`

Example

`"29.99919K"=("1.169dB"-1)*"177.51K"`

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Effective Noise Temperature Solution

STEP 0: Pre-Calculation Summary

Formula Used

Effective Noise Temperature = (Overall Noise Figure-1)*Noise Temperature Network 1
T_e = (F_o-1)*T_o
This formula uses 3 Variables

Variables Used

Effective Noise Temperature - (Measured in Kelvin) - Effective Noise Temperature represents the equivalent temperature of noise that, would produce the same amount of noise power as the actual devices or components in the system.
Overall Noise Figure - (Measured in Decibel) - Overall Noise Figure quantifies how much the device degrades the signal-to-noise ratio (SNR) of the input signal as it passes through the system.
Noise Temperature Network 1 - (Measured in Kelvin) - Noise Temperature Network 1 defined as the temperature at the input of the network which would account for the noise ΔN at the output.

STEP 1: Convert Input(s) to Base Unit

Overall Noise Figure: 1.169 Decibel --> 1.169 Decibel No Conversion Required
Noise Temperature Network 1: 177.51 Kelvin --> 177.51 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_e = (F_o-1)*T_o --> (1.169-1)*177.51

Evaluating ... ...

T_e = 29.99919

STEP 3: Convert Result to Output's Unit

29.99919 Kelvin --> No Conversion Required

FINAL ANSWER

29.99919 Kelvin <-- Effective Noise Temperature

(Calculation completed in 00.020 seconds)

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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

Effective Noise Temperature Formula

Effective Noise Temperature = (Overall Noise Figure-1)*Noise Temperature Network 1
T_e = (F_o-1)*T_o

Why is Effective Noise Temperature crucial?

By calculating and minimizing the effective noise temperature of a system, engineers can design and optimize systems to meet noise requirements and ensure the best possible signal-to-noise ratio (SNR), which is critical for the performance of communication and electronic systems.

How to Calculate Effective Noise Temperature?

Effective Noise Temperature calculator uses Effective Noise Temperature = (Overall Noise Figure-1)*Noise Temperature Network 1 to calculate the Effective Noise Temperature, Effective Noise Temperature represents the equivalent temperature of noise that, if present in a noiseless system, would produce the same amount of noise power as the actual devices or components in the system. Effective Noise Temperature is denoted by T_e symbol.

How to calculate Effective Noise Temperature using this online calculator? To use this online calculator for Effective Noise Temperature, enter Overall Noise Figure (F_o) & Noise Temperature Network 1 (T_o) and hit the calculate button. Here is how the Effective Noise Temperature calculation can be explained with given input values -> 29.99919 = (1.169-1)*177.51.

FAQ

What is Effective Noise Temperature?

Effective Noise Temperature represents the equivalent temperature of noise that, if present in a noiseless system, would produce the same amount of noise power as the actual devices or components in the system and is represented as T_e = (F_o-1)*T_o or Effective Noise Temperature = (Overall Noise Figure-1)*Noise Temperature Network 1. Overall Noise Figure quantifies how much the device degrades the signal-to-noise ratio (SNR) of the input signal as it passes through the system & Noise Temperature Network 1 defined as the temperature at the input of the network which would account for the noise ΔN at the output.

How to calculate Effective Noise Temperature?

Effective Noise Temperature represents the equivalent temperature of noise that, if present in a noiseless system, would produce the same amount of noise power as the actual devices or components in the system is calculated using Effective Noise Temperature = (Overall Noise Figure-1)*Noise Temperature Network 1. To calculate Effective Noise Temperature, you need Overall Noise Figure (F_o) & Noise Temperature Network 1 (T_o). With our tool, you need to enter the respective value for Overall Noise Figure & Noise Temperature Network 1 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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