Maximum Doppler Shift Solution

STEP 0: Pre-Calculation Summary
Formula Used
Maximum Doppler Shift = (Velocity/[c])*Carrier Frequency
Fm = (V/[c])*Fc
This formula uses 1 Constants, 3 Variables
Constants Used
[c] - Light speed in vacuum Value Taken As 299792458.0
Variables Used
Maximum Doppler Shift - (Measured in Hertz) - 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.
Velocity - (Measured in Meter per Second) - Velocity in wireless communication refers to the speed at which data or information is transmitted or received wirelessly.
Carrier Frequency - (Measured in Hertz) - Carrier frequency refers to the specific frequency at which a carrier wave is transmitted and modulated to carry information.
STEP 1: Convert Input(s) to Base Unit
Velocity: 8700 Meter per Second --> 8700 Meter per Second No Conversion Required
Carrier Frequency: 1900 Kilohertz --> 1900000 Hertz (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Fm = (V/[c])*Fc --> (8700/[c])*1900000
Evaluating ... ...
Fm = 55.1381449362545
STEP 3: Convert Result to Output's Unit
55.1381449362545 Hertz -->0.0551381449362545 Kilohertz (Check conversion here)
FINAL ANSWER
0.0551381449362545 0.055138 Kilohertz <-- Maximum Doppler Shift
(Calculation completed in 00.004 seconds)

Credits

Created by Rachita C
BMS College Of Engineering (BMSCE), Banglore
Rachita C has created this Calculator and 25+ more calculators!
Verified by Vidyashree V
BMS College of Engineering (BMSCE), Bangalore
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16 Frequency Reuse Concept Calculators

RMS Delay Spread
Go RMS Delay Spread = sqrt(Variance Mean Excess Delay-(Mean Excess Delay)^2)
Maximum Doppler Shift
Go Maximum Doppler Shift = (Velocity/[c])*Carrier Frequency
Symbol Time Period
Go Symbol Time = (Forward Frame-(Time Slots+Reverse Frame))/44
Carrier Frequency using Maximum Doppler Shift
Go Carrier Frequency = (Maximum Doppler Shift*[c])/Velocity
Reverse Frame
Go Reverse Frame = Forward Frame-(Time Slots+44*Symbol Time)
Time Slots
Go Time Slots = Forward Frame-(Reverse Frame+44*Symbol Time)
Forward Frame
Go Forward Frame = Time Slots+Reverse Frame+44*Symbol Time
Maximum Excess Delay
Go Maximum Excess Delay = Excess Delay Spread-First Arriving Signal
Channel Reuse Ratio
Go Co Channel Reuse Ratio = sqrt(3*Frequency Reuse Pattern)
M-Ary PAM
Go M-Ary PAM = 1-sqrt(1-M-Ary QAM)
Coherence Bandwidth for Random Phases of Two Received Signals
Go Coherence Bandwidth Random Phase = 1/(4*3.14*Delay Spread)
Coherence Bandwidth for Two Fading Amplitudes of Two Received Signals
Go Coherence Bandwidth Fading = 1/(2*3.14*Delay Spread)
Delay Spread
Go Delay Spread = 1/(2*3.14*Coherence Bandwidth Fading)
Coherence Bandwidth for Multipath Channel
Go Coherence Bandwidth = 1/(5*RMS Delay Spread)
Coherence Time
Go Coherence Time = 0.423/Maximum Doppler Shift
M-Ary QAM
Go M-Ary QAM = 1-(1-M-Ary PAM)^2

Maximum Doppler Shift Formula

Maximum Doppler Shift = (Velocity/[c])*Carrier Frequency
Fm = (V/[c])*Fc

When the Doppler Shift is said to be maximum?

The equation of Doppler Shift relates to mobile velocity and spatial angle between the direction of motion of the mobile and the direction of arrival of the wave(given by cosθ). If the mobile is moving toward the direction of arrival of the wave, the Doppler Shift is positive otherwise, it is negative. The Doppler Shift is said to be maximum when the spatial angle between the direction of motion of the mobile and the direction of arrival of the wave is "Zero".

How to Calculate Maximum Doppler Shift?

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

How to calculate Maximum Doppler Shift using this online calculator? To use this online calculator for Maximum Doppler Shift, enter Velocity (V) & Carrier Frequency (Fc) and hit the calculate button. Here is how the Maximum Doppler Shift calculation can be explained with given input values -> 5.5E-5 = (8700/[c])*1900000.

FAQ

What is Maximum Doppler Shift?
Maximum Doppler Shift is the change observed in wavelength, or frequency when θ=0 and is represented as Fm = (V/[c])*Fc or Maximum Doppler Shift = (Velocity/[c])*Carrier Frequency. Velocity in wireless communication refers to the speed at which data or information is transmitted or received wirelessly & Carrier frequency refers to the specific frequency at which a carrier wave is transmitted and modulated to carry information.
How to calculate Maximum Doppler Shift?
Maximum Doppler Shift is the change observed in wavelength, or frequency when θ=0 is calculated using Maximum Doppler Shift = (Velocity/[c])*Carrier Frequency. To calculate Maximum Doppler Shift, you need Velocity (V) & Carrier Frequency (Fc). With our tool, you need to enter the respective value for Velocity & Carrier Frequency 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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