STEP 0: Pre-Calculation Summary
Formula Used
Receiver Antenna Gain = (4*pi*Effective Area of Receiving Antenna)/Carrier Wavelength^2
Gr = (4*pi*Aeff)/λc^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
Gr = (4*pi*Aeff)/λc^2 --> (4*pi*17.5875)/1.245^2
Evaluating ... ...
Gr = 142.58547002793
STEP 3: Convert Result to Output's Unit
142.58547002793 Decibel --> No Conversion Required
142.58547002793 142.5855 Decibel <-- Receiver Antenna Gain
(Calculation completed in 00.004 seconds)
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< 14 Radar Antennas Reception Calculators

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

Receiver Antenna Gain = (4*pi*Effective Area of Receiving Antenna)/Carrier Wavelength^2
Gr = (4*pi*Aeff)/λc^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 Gr 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 (Aeff) & Carrier Wavelength 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.