Doppler Frequency Shift Calculator

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Special Purpose Radars

Radar & Antenna Specifications

Radar Antennas Reception

✖Target Velocity describes the rate at which target moves toward or away from the radar.ⓘ Target Velocity [v_t]			+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%

✖Doppler frequency shift is the change in frequency of a wave in relation to an observer who is moving relative to the wave source.ⓘ Doppler Frequency Shift [Δf_d]

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Formula

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Doppler Frequency Shift

Formula

`"Δf"_{"d"} = (2*"v"_{"t"})/"λ"`

Example

`"20Hz"=(2*"5.8m/s")/"0.58m"`

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Doppler Frequency Shift Solution

STEP 0: Pre-Calculation Summary

Formula Used

Doppler Frequency Shift = (2*Target Velocity)/Wavelength
Δf_d = (2*v_t)/λ
This formula uses 3 Variables

Variables Used

Doppler Frequency Shift - (Measured in Hertz) - Doppler frequency shift is the change in frequency of a wave in relation to an observer who is moving relative to the wave source.
Target Velocity - (Measured in Meter per Second) - Target Velocity describes the rate at which target moves toward or away from the radar.
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

Target Velocity: 5.8 Meter per Second --> 5.8 Meter per Second No Conversion Required
Wavelength: 0.58 Meter --> 0.58 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Δf_d = (2*v_t)/λ --> (2*5.8)/0.58

Evaluating ... ...

Δf_d = 20

STEP 3: Convert Result to Output's Unit

20 Hertz --> No Conversion Required

FINAL ANSWER

20 Hertz <-- Doppler Frequency Shift

(Calculation completed in 00.004 seconds)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

Shobhit Dimri has created this Calculator and 900+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 21 Special Purpose Radars Calculators

Amplitude of Signal Received from Target at Range

Go Amplitude of Signal Received = Echo Signal Voltage/(sin((2*pi*(Carrier Frequency+Doppler Frequency Shift)*Time Period)-((4*pi*Carrier Frequency*Range)/[c])))

Echo Signal Voltage

Go Echo Signal Voltage = Amplitude of Signal Received*sin((2*pi*(Carrier Frequency+Doppler Frequency Shift)*Time Period)-((4*pi*Carrier Frequency*Range)/[c]))

Velocity Smoothing Parameter

Go Velocity Smoothing Parameter = ((Smoothed Velocity-(n-1)th Scan Smoothed Velocity)/(Measured Position at Nth Scan-Target Predicted Position))*Time between Observations

Time between Observations

Go Time between Observations = (Velocity Smoothing Parameter/(Smoothed Velocity-(n-1)th Scan Smoothed Velocity))*(Measured Position at Nth Scan-Target Predicted Position)

Smoothed Velocity

Go Smoothed Velocity = (n-1)th Scan Smoothed Velocity+Velocity Smoothing Parameter/Time between Observations*(Measured Position at Nth Scan-Target Predicted Position)

Phase Difference between Echo Signals in Monopulse Radar

Go Phase Difference between Echo Signals = 2*pi*Distance between Antennas in Monopulse Radar*sin(Angle in Monopulse Radar)/Wavelength

Predicted Position of Target

Go Target Predicted Position = (Smoothed Position-(Position Smoothing Parameter*Measured Position at Nth Scan))/(1-Position Smoothing Parameter)

Amplitude of Reference Signal

Go Amplitude of Reference Signal = CW Oscillator Reference Voltage/(sin(2*pi*Angular Frequency*Time Period))

Reference Voltage of CW Oscillator

Go CW Oscillator Reference Voltage = Amplitude of Reference Signal*sin(2*pi*Angular Frequency*Time Period)

Measured Position at Nth Scan

Go Measured Position at Nth Scan = ((Smoothed Position-Target Predicted Position)/Position Smoothing Parameter)+Target Predicted Position

Position Smoothing Parameter

Go Position Smoothing Parameter = (Smoothed Position-Target Predicted Position)/(Measured Position at Nth Scan-Target Predicted Position)

Smoothed Position

Go Smoothed Position = Target Predicted Position+Position Smoothing Parameter*(Measured Position at Nth Scan-Target Predicted Position)

Distance from Antenna 1 to Target in Monopulse Radar

Go Distance from Antenna 1 to Target = (Range+Distance between Antennas in Monopulse Radar)/2*sin(Angle in Monopulse Radar)

Distance from Antenna 2 to Target in Monopulse Radar

Go Distance from Antenna 2 to Target = (Range-Distance between Antennas in Monopulse Radar)/2*sin(Angle in Monopulse Radar)

Efficiency of Cross Field Amplifier(CFA)

Go Efficiency of Cross Field Amplifier = (CFA RF Power Output-CFA RF Drive Power)/DC Power Input

CFA DC Power Input

Go DC Power Input = (CFA RF Power Output-CFA RF Drive Power)/Efficiency of Cross Field Amplifier

CFA RF Power Output

Go CFA RF Power Output = Efficiency of Cross Field Amplifier*DC Power Input+CFA RF Drive Power

CFA RF Drive Power

Go CFA RF Drive Power = CFA RF Power Output-Efficiency of Cross Field Amplifier*DC Power Input

Range Resolution

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

Doppler Frequency Shift

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

Peak Quantization Lobe

Go Peak Quantization Lobe = 1/2^(2*Mean Lobe)

Doppler Frequency Shift Formula

Doppler Frequency Shift = (2*Target Velocity)/Wavelength
Δf_d = (2*v_t)/λ

What is target velocity?

When the axis is in Closed Loop control, the Target Velocity refers to the speed and direction of a detected object relative to the radar system. The radar system can only determine the component of the target's velocity along the radar's line of sight (radial velocity).

How to Calculate Doppler Frequency Shift?

Doppler Frequency Shift calculator uses Doppler Frequency Shift = (2*Target Velocity)/Wavelength to calculate the Doppler Frequency Shift, The Doppler Frequency Shift formula is defined as the change in frequency of a wave in relation to an observer who is moving relative to the wave source. Doppler Frequency Shift is denoted by Δf_d symbol.

How to calculate Doppler Frequency Shift using this online calculator? To use this online calculator for Doppler Frequency Shift, enter Target Velocity (v_t) & Wavelength (λ) and hit the calculate button. Here is how the Doppler Frequency Shift calculation can be explained with given input values -> 20 = (2*5.8)/0.58.

FAQ

What is Doppler Frequency Shift?

The Doppler Frequency Shift formula is defined as the change in frequency of a wave in relation to an observer who is moving relative to the wave source and is represented as Δf_d = (2*v_t)/λ or Doppler Frequency Shift = (2*Target Velocity)/Wavelength. Target Velocity describes the rate at which target moves toward or away from the radar & Wavelength refers to the physical length of one complete cycle of an electromagnetic wave transmitted by the radar system.

How to calculate Doppler Frequency Shift?

The Doppler Frequency Shift formula is defined as the change in frequency of a wave in relation to an observer who is moving relative to the wave source is calculated using Doppler Frequency Shift = (2*Target Velocity)/Wavelength. To calculate Doppler Frequency Shift, you need Target Velocity (v_t) & Wavelength (λ). With our tool, you need to enter the respective value for Target Velocity & 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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