Transmitted Frequency Calculator

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Radar & Antenna Specifications

Radar Antennas Reception

Special Purpose Radars

✖Doppler frequency refers to the frequency shift that occurs in a wave, such as sound waves, light waves, due to the relative motion between the source of the wave and the observer.ⓘ Doppler Frequency [f_d]			+10% -10%
✖The Radial Velocity of an object with respect to a given point is the rate of change of the distance between the object and the point.ⓘ Radial Velocity [v_r]			+10% -10%

✖Transmitted Frequency is the frequency at which the radar system generates and transmits its radar pulses into the environment.ⓘ Transmitted Frequency [f_trns]

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Formula

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Transmitted Frequency

Formula

`"f"_{"trns"} = "f"_{"d"}*"[c]"/(2*"v"_{"r"})`

Example

`"5.2E^8Hz"="10.3Hz"*"[c]"/(2*"2.987m/s")`

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Download Radar & Antenna Specifications Formulas PDF PDF Image

Transmitted Frequency Solution

STEP 0: Pre-Calculation Summary

Formula Used

Transmitted Frequency = Doppler Frequency*[c]/(2*Radial Velocity)
f_trns = f_d*[c]/(2*v_r)
This formula uses 1 Constants, 3 Variables

Constants Used

[c] - Light speed in vacuum Value Taken As 299792458.0

Variables Used

Transmitted Frequency - (Measured in Hertz) - Transmitted Frequency is the frequency at which the radar system generates and transmits its radar pulses into the environment.
Doppler Frequency - (Measured in Hertz) - Doppler frequency refers to the frequency shift that occurs in a wave, such as sound waves, light waves, due to the relative motion between the source of the wave and the observer.
Radial Velocity - (Measured in Meter per Second) - The Radial Velocity of an object with respect to a given point is the rate of change of the distance between the object and the point.

STEP 1: Convert Input(s) to Base Unit

Doppler Frequency: 10.3 Hertz --> 10.3 Hertz No Conversion Required
Radial Velocity: 2.987 Meter per Second --> 2.987 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_trns = f_d*[c]/(2*v_r) --> 10.3*[c]/(2*2.987)

Evaluating ... ...

f_trns = 516883548.275862

STEP 3: Convert Result to Output's Unit

516883548.275862 Hertz --> No Conversion Required

FINAL ANSWER

516883548.275862 ≈ 5.2E+8 Hertz <-- Transmitted Frequency

(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 Frequency Formula

Transmitted Frequency = Doppler Frequency*[c]/(2*Radial Velocity)
f_trns = f_d*[c]/(2*v_r)

What is Doppler effect?

Doppler Effect refers to the change in wave frequency during the relative motion between a wave source and its observer.

How to Calculate Transmitted Frequency?

Transmitted Frequency calculator uses Transmitted Frequency = Doppler Frequency*[c]/(2*Radial Velocity) to calculate the Transmitted Frequency, The Transmitted Frequency formula is defined as the frequency of the carrier wave is considered the frequency of the transmitter. Transmitted Frequency is denoted by f_trns symbol.

How to calculate Transmitted Frequency using this online calculator? To use this online calculator for Transmitted Frequency, enter Doppler Frequency (f_d) & Radial Velocity (v_r) and hit the calculate button. Here is how the Transmitted Frequency calculation can be explained with given input values -> 5.2E+8 = 10.3*[c]/(2*2.987).

FAQ

What is Transmitted Frequency?

The Transmitted Frequency formula is defined as the frequency of the carrier wave is considered the frequency of the transmitter and is represented as f_trns = f_d*[c]/(2*v_r) or Transmitted Frequency = Doppler Frequency*[c]/(2*Radial Velocity). Doppler frequency refers to the frequency shift that occurs in a wave, such as sound waves, light waves, due to the relative motion between the source of the wave and the observer & The Radial Velocity of an object with respect to a given point is the rate of change of the distance between the object and the point.

How to calculate Transmitted Frequency?

The Transmitted Frequency formula is defined as the frequency of the carrier wave is considered the frequency of the transmitter is calculated using Transmitted Frequency = Doppler Frequency*[c]/(2*Radial Velocity). To calculate Transmitted Frequency, you need Doppler Frequency (f_d) & Radial Velocity (v_r). With our tool, you need to enter the respective value for Doppler Frequency & Radial Velocity 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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