Receiver Antenna Gain Calculator

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Radar Antennas Reception

Radar & Antenna Specifications

Special Purpose Radars

✖Effective Area of Receiving Antenna is a fundamental parameter that characterizes the ability of the antenna to capture electromagnetic radiation and convert it into an electrical signal.ⓘ Effective Area of Receiving Antenna [A_eff]			+10% -10%
✖Carrier Wavelength refers to the wavelength of the electromagnetic wave that carries the information.ⓘ Carrier Wavelength [λ_c]			+10% -10%

✖Receiver Antenna Gain is a measure of how well an antenna can capture incoming radiofrequency signals from a specific direction.ⓘ Receiver Antenna Gain [G_r]

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Formula

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Receiver Antenna Gain

Formula

`"G"_{"r"} = (4*pi*"A"_{"eff"})/"λ"_{"c"}^2`

Example

`"142.5855dB"=(4*pi*"17.5875m²")/("1.245m")^2`

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Receiver Antenna Gain Solution

STEP 0: Pre-Calculation Summary

Formula Used

Receiver Antenna Gain = (4*pi*Effective Area of Receiving Antenna)/Carrier Wavelength^2
G_r = (4*pi*A_eff)/λ_c^2
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Receiver Antenna Gain - (Measured in Decibel) - Receiver Antenna Gain is a measure of how well an antenna can capture incoming radiofrequency signals from a specific direction.
Effective Area of Receiving Antenna - (Measured in Square Meter) - Effective Area of Receiving Antenna is a fundamental parameter that characterizes the ability of the antenna to capture electromagnetic radiation and convert it into an electrical signal.
Carrier Wavelength - (Measured in Meter) - Carrier Wavelength refers to the wavelength of the electromagnetic wave that carries the information.

STEP 1: Convert Input(s) to Base Unit

Effective Area of Receiving Antenna: 17.5875 Square Meter --> 17.5875 Square Meter No Conversion Required
Carrier Wavelength: 1.245 Meter --> 1.245 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G_r = (4*pi*A_eff)/λ_c^2 --> (4*pi*17.5875)/1.245^2

Evaluating ... ...

G_r = 142.58547002793

STEP 3: Convert Result to Output's Unit

142.58547002793 Decibel --> No Conversion Required

FINAL ANSWER

142.58547002793 ≈ 142.5855 Decibel <-- Receiver Antenna Gain

(Calculation completed in 00.004 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 Parminder Singh

Chandigarh University (CU), Punjab

Parminder Singh has verified this Calculator and 600+ 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

Receiver Antenna Gain Formula

Receiver Antenna Gain = (4*pi*Effective Area of Receiving Antenna)/Carrier Wavelength^2
G_r = (4*pi*A_eff)/λ_c^2

What is the significance of Receiver Antenna Gainr?

Receiver Antenna Gain is a crucial factor in determining the effective range and sensitivity of a communication system. A higher gain indicates a more directional antenna, which can be advantageous in scenarios where signals need to be received from a specific direction while minimizing interference from other directions.

How to Calculate Receiver Antenna Gain?

Receiver Antenna Gain calculator uses Receiver Antenna Gain = (4*pi*Effective Area of Receiving Antenna)/Carrier Wavelength^2 to calculate the Receiver Antenna Gain, Receiver Antenna Gain is a measure of how well an antenna can capture incoming radiofrequency signals from a specific direction. The gain of an antenna is a relative measure, often expressed in decibels (dB), and it indicates the ability of the antenna to focus its radiation pattern in a particular direction. Receiver Antenna Gain is denoted by G_r symbol.

How to calculate Receiver Antenna Gain using this online calculator? To use this online calculator for Receiver Antenna Gain, enter Effective Area of Receiving Antenna (A_eff) & Carrier Wavelength (λ_c) and hit the calculate button. Here is how the Receiver Antenna Gain calculation can be explained with given input values -> 142.5855 = (4*pi*17.5875)/1.245^2.

FAQ

What is Receiver Antenna Gain?

Receiver Antenna Gain is a measure of how well an antenna can capture incoming radiofrequency signals from a specific direction. The gain of an antenna is a relative measure, often expressed in decibels (dB), and it indicates the ability of the antenna to focus its radiation pattern in a particular direction and is represented as G_r = (4*pi*A_eff)/λ_c^2 or Receiver Antenna Gain = (4*pi*Effective Area of Receiving Antenna)/Carrier Wavelength^2. Effective Area of Receiving Antenna is a fundamental parameter that characterizes the ability of the antenna to capture electromagnetic radiation and convert it into an electrical signal & Carrier Wavelength refers to the wavelength of the electromagnetic wave that carries the information.

How to calculate Receiver Antenna Gain?

Receiver Antenna Gain is a measure of how well an antenna can capture incoming radiofrequency signals from a specific direction. The gain of an antenna is a relative measure, often expressed in decibels (dB), and it indicates the ability of the antenna to focus its radiation pattern in a particular direction is calculated using Receiver Antenna Gain = (4*pi*Effective Area of Receiving Antenna)/Carrier Wavelength^2. To calculate Receiver Antenna Gain, you need Effective Area of Receiving Antenna (A_eff) & Carrier Wavelength (λ_c). With our tool, you need to enter the respective value for Effective Area of Receiving Antenna & Carrier Wavelength 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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