Transmitted Gain Calculator

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Radar & Antenna Specifications

Radar Antennas Reception

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%
✖Wavelength refers to the physical length of one complete cycle of an electromagnetic wave transmitted by the radar system.ⓘ Wavelength [λ]			+10% -10%

✖Transmitted Gain is a parameter used to describe the ability of an antenna to concentrate and direct electromagnetic energy in a specific direction when it is used to transmit signals.ⓘ Transmitted Gain [G_trns]

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Formula

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Transmitted Gain

Formula

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

Example

`"656.9888"=(4*pi*"17.5875m²")/("0.58m")^2`

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Transmitted Gain Solution

STEP 0: Pre-Calculation Summary

Formula Used

Transmitted Gain = (4*pi*Effective Area of Receiving Antenna)/Wavelength^2
G_trns = (4*pi*A_eff)/λ^2
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Transmitted Gain - Transmitted Gain is a parameter used to describe the ability of an antenna to concentrate and direct electromagnetic energy in a specific direction when it is used to transmit signals.
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.
Wavelength - (Measured in Meter) - Wavelength refers to the physical length of one complete cycle of an electromagnetic wave transmitted by the radar system.

STEP 1: Convert Input(s) to Base Unit

Effective Area of Receiving Antenna: 17.5875 Square Meter --> 17.5875 Square Meter No Conversion Required
Wavelength: 0.58 Meter --> 0.58 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G_trns = (4*pi*A_eff)/λ^2 --> (4*pi*17.5875)/0.58^2

Evaluating ... ...

G_trns = 656.988832283121

STEP 3: Convert Result to Output's Unit

656.988832283121 --> No Conversion Required

FINAL ANSWER

656.988832283121 ≈ 656.9888 <-- Transmitted Gain

(Calculation completed in 00.004 seconds)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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< 24 Radar & Antenna Specifications Calculators

Maximum Range of Radar

Go Target Range = ((Transmitted Power*Transmitted Gain*Cross Section Area of Radar*Effective Area of Receiving Antenna)/(16*pi^2*Minimum Detectable Signal))^0.25

Minimum Detectable Signal

Go Minimum Detectable Signal = (Transmitted Power*Transmitted Gain*Cross Section Area of Radar*Effective Area of Receiving Antenna)/(16*pi^2*Target Range^4)

N Scans

Go N Scans = (log10(1-Cumulative Probability of Detection))/(log10(1-Detection Probability of Radar))

Transmitted Gain

Go Transmitted Gain = (4*pi*Effective Area of Receiving Antenna)/Wavelength^2

Transmitted Frequency

Go Transmitted Frequency = Doppler Frequency*[c]/(2*Radial Velocity)

Power Density Radiated by Lossless Antenna

Go Lossless Isotropic Power Density = Maximum Radiated Power Density/Maximum Gain of Antenna

Maximum Power Density Radiated by Antenna

Go Maximum Radiated Power Density = Lossless Isotropic Power Density*Maximum Gain of Antenna

Maximum Gain of Antenna

Go Maximum Gain of Antenna = Maximum Radiated Power Density/Lossless Isotropic Power Density

Radar Antenna Height

Go Antenna Height = (Range Resolution*Range)/(2*Target Height)

Target Height

Go Target Height = (Range Resolution*Range)/(2*Antenna Height)

Probability of Detection

Go Detection Probability of Radar = 1-(1-Cumulative Probability of Detection)^(1/N Scans)

Cumulative Probability of Detection

Go Cumulative Probability of Detection = 1-(1-Detection Probability of Radar)^N Scans

Effective Area of Receiving Antenna

Go Effective Area of Receiving Antenna = Antenna Area*Antenna Aperture Efficiency

Antenna Aperture Efficiency

Go Antenna Aperture Efficiency = Effective Area of Receiving Antenna/Antenna Area

Antenna Area

Go Antenna Area = Effective Area of Receiving Antenna/Antenna Aperture Efficiency

Pulse Repetition Frequency

Go Pulse Repetition Frequency = [c]/(2*Maximum Unambiguous Range)

Maximum Unambiguous Range

Go Maximum Unambiguous Range = ([c]*Pulse Repetition Time)/2

Pulse Repetition Time

Go Pulse Repetition Time = (2*Maximum Unambiguous Range)/[c]

Target Velocity

Go Target Velocity = (Doppler Frequency Shift*Wavelength)/2

Doppler Frequency

Go Doppler Frequency = Doppler Angular Frequency/(2*pi)

Doppler Angular Frequency

Go Doppler Angular Frequency = 2*pi*Doppler Frequency

Radial Velocity

Go Radial Velocity = (Doppler Frequency*Wavelength)/2

Range of Target

Go Target Range = ([c]*Measured Runtime)/2

Measured Runtime

Go Measured Runtime = 2*Target Range/[c]

Transmitted Gain Formula

Transmitted Gain = (4*pi*Effective Area of Receiving Antenna)/Wavelength^2
G_trns = (4*pi*A_eff)/λ^2

What does gain mean in antenna?

Antenna gain is the ability of the antenna to radiate more or less in any direction compared to a theoretical antenna. If an antenna could be made as a perfect sphere, it would radiate equally in all directions. Such an antenna is theoretically called an isotropic antenna and does not in fact exist.

How to Calculate Transmitted Gain?

Transmitted Gain calculator uses Transmitted Gain = (4*pi*Effective Area of Receiving Antenna)/Wavelength^2 to calculate the Transmitted Gain, The Transmitted Gain formula is defined as how well the antenna converts input power into radio waves headed in a specified direction. Transmitted Gain is denoted by G_trns symbol.

How to calculate Transmitted Gain using this online calculator? To use this online calculator for Transmitted Gain, enter Effective Area of Receiving Antenna (A_eff) & Wavelength (λ) and hit the calculate button. Here is how the Transmitted Gain calculation can be explained with given input values -> 656.9888 = (4*pi*17.5875)/0.58^2.

FAQ

What is Transmitted Gain?

The Transmitted Gain formula is defined as how well the antenna converts input power into radio waves headed in a specified direction and is represented as G_trns = (4*pi*A_eff)/λ^2 or Transmitted Gain = (4*pi*Effective Area of Receiving Antenna)/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 & Wavelength refers to the physical length of one complete cycle of an electromagnetic wave transmitted by the radar system.

How to calculate Transmitted Gain?

The Transmitted Gain formula is defined as how well the antenna converts input power into radio waves headed in a specified direction is calculated using Transmitted Gain = (4*pi*Effective Area of Receiving Antenna)/Wavelength^2. To calculate Transmitted Gain, you need Effective Area of Receiving Antenna (A_eff) & Wavelength (λ). With our tool, you need to enter the respective value for Effective Area of Receiving Antenna & 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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