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Maximum Doppler Shift Formula

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Maximum Doppler Shift or Max Doppler spread or, max Doppler frequency is refers to the maximum change in frequency a wireless signal due to the relative motion between the transmitter and receiver. Check FAQs

F m = (\frac{V}{[c]}) \cdot F c

F_m - Maximum Doppler Shift?V - Velocity?F_c - Carrier Frequency?[c] - Light speed in vacuum?

Maximum Doppler Shift Example

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With units

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Here is how the Maximum Doppler Shift equation looks like with Values.

Here is how the Maximum Doppler Shift equation looks like with Units.

Here is how the Maximum Doppler Shift equation looks like.

0.0551 = (\frac{8700}{3E+8}) \cdot 1900

0.0551kHz = (\frac{8700m/s}{3E+8m/s}) \cdot 1900kHz

0.0551 = (\frac{8700}{3E+8}) \cdot 1900

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Maximum Doppler Shift Solution

Follow our step by step solution on how to calculate Maximum Doppler Shift?

FIRST Step Consider the formula

F m = (\frac{V}{[c]}) \cdot F c

Next Step Substitute values of Variables

∴

F m = (\frac{8700m/s}{[c]}) \cdot 1900kHz

Next Step Substitute values of Constants

∴

F m = (\frac{8700m/s}{3E+8m/s}) \cdot 1900kHz

Next Step Convert Units

∴

F m = (\frac{8700m/s}{3E+8m/s}) \cdot 1.9E+6Hz

Next Step Prepare to Evaluate

∴

F m = (\frac{8700}{3E+8}) \cdot 1.9E+6

Next Step Evaluate

∴

F m = 55.1381449362545Hz

Next Step Convert to Output's Unit

∴

F m = 0.0551381449362545kHz

LAST Step Rounding Answer

∴

F m = 0.0551kHz

Maximum Doppler Shift Formula Elements

Variables

Constants

Maximum Doppler Shift

Maximum Doppler Shift or Max Doppler spread or, max Doppler frequency is refers to the maximum change in frequency a wireless signal due to the relative motion between the transmitter and receiver.

Symbol: F_m

Measurement: FrequencyUnit: kHz

Note: Value should be greater than 0.

Formulas to find Maximum Doppler Shift

Velocity

Velocity in wireless communication refers to the speed at which data or information is transmitted or received wirelessly.

Symbol: V

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity

Carrier Frequency

Carrier frequency refers to the specific frequency at which a carrier wave is transmitted and modulated to carry information.

Symbol: F_c

Measurement: FrequencyUnit: kHz

Note: Value can be positive or negative.

Formulas to find Carrier Frequency

Light speed in vacuum

Light speed in vacuum is a fundamental physical constant representing the speed at which light propagates through a vacuum.

Symbol: [c]

Value: 299792458.0 m/s

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How to Evaluate Maximum Doppler Shift?

Maximum Doppler Shift evaluator uses Maximum Doppler Shift = (Velocity/[c])*Carrier Frequency to evaluate the Maximum Doppler Shift, Maximum Doppler Shift is the change observed in wavelength, or frequency when θ=0. Maximum Doppler Shift is denoted by F_m symbol.

How to evaluate Maximum Doppler Shift using this online evaluator? To use this online evaluator for Maximum Doppler Shift, enter Velocity (V) & Carrier Frequency (F_c) and hit the calculate button.

FAQs on Maximum Doppler Shift

What is the formula to find Maximum Doppler Shift?

The formula of Maximum Doppler Shift is expressed as Maximum Doppler Shift = (Velocity/[c])*Carrier Frequency. Here is an example- 5.5E-5 = (8700/[c])*1900000.

How to calculate Maximum Doppler Shift?

With Velocity (V) & Carrier Frequency (F_c) we can find Maximum Doppler Shift using the formula - Maximum Doppler Shift = (Velocity/[c])*Carrier Frequency. This formula also uses Light speed in vacuum constant(s).

Can the Maximum Doppler Shift be negative?

No, the Maximum Doppler Shift, measured in Frequency cannot be negative.

Which unit is used to measure Maximum Doppler Shift?

Maximum Doppler Shift is usually measured using the Kilohertz[kHz] for Frequency. Hertz[kHz], Petahertz[kHz], Terahertz[kHz] are the few other units in which Maximum Doppler Shift can be measured.

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