Coherence Time Calculator

✖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.ⓘ Maximum Doppler Shift [F_m]

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✖Coherence time refers to the duration over which the channel conditions remain relatively unchanged.ⓘ Coherence Time [T_c]

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Coherence Time Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coherence Time = 0.423/Maximum Doppler Shift
T_c = 0.423/F_m
This formula uses 2 Variables

Variables Used

Coherence Time - (Measured in Second) - Coherence time refers to the duration over which the channel conditions remain relatively unchanged.
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.

STEP 1: Convert Input(s) to Base Unit

Maximum Doppler Shift: 0.0551 Kilohertz --> 55.1 Hertz (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_c = 0.423/F_m --> 0.423/55.1

Evaluating ... ...

T_c = 0.00767695099818512

STEP 3: Convert Result to Output's Unit

0.00767695099818512 Second --> No Conversion Required

FINAL ANSWER

0.00767695099818512 ≈ 0.007677 Second <-- Coherence Time

(Calculation completed in 00.020 seconds)

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Credits

Created by Rachita C

BMS College Of Engineering (BMSCE), Banglore

Rachita C has created this Calculator and 25+ more calculators!

Verified by subham shetty

NMAM Institute of Technology, Nitte (NMAMIT), Nitte karkala udupi

subham shetty has verified this Calculator and 1 more calculators!

< Frequency Reuse Concept Calculators

Reverse Frame

LaTeX Go Reverse Frame = Forward Frame-(Time Slots+44*Symbol Time)

Time Slots

LaTeX Go Time Slots = Forward Frame-(Reverse Frame+44*Symbol Time)

Forward Frame

LaTeX Go Forward Frame = Time Slots+Reverse Frame+44*Symbol Time

Channel Reuse Ratio

LaTeX Go Co Channel Reuse Ratio = sqrt(3*Frequency Reuse Pattern)

Coherence Time Formula

LaTeX Go

Coherence Time = 0.423/Maximum Doppler Shift
T_c = 0.423/F_m

Why coherence time is important?

The coherence time(Tc) is defined by square root of 9 over 16 times the product of constant value of pi and the square of maximum Doppler shift.
Thus we obtain 0.423 over maximum Doppler Shift. The Coherence Time is important because it gives information about the two signals arriving with time separation greater than Tc are affected differently by the channel.

How to Calculate Coherence Time?

Coherence Time calculator uses Coherence Time = 0.423/Maximum Doppler Shift to calculate the Coherence Time, The Coherence Time is the time duration over which the channel impulse response is essentially invariant. Such channel variation is much more significant in wireless communications systems, due to Doppler effects. Coherence Time is denoted by T_c symbol.

How to calculate Coherence Time using this online calculator? To use this online calculator for Coherence Time, enter Maximum Doppler Shift (F_m) and hit the calculate button. Here is how the Coherence Time calculation can be explained with given input values -> 0.007677 = 0.423/55.1.

FAQ

What is Coherence Time?

The Coherence Time is the time duration over which the channel impulse response is essentially invariant. Such channel variation is much more significant in wireless communications systems, due to Doppler effects and is represented as T_c = 0.423/F_m or Coherence Time = 0.423/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.

How to calculate Coherence Time?

The Coherence Time is the time duration over which the channel impulse response is essentially invariant. Such channel variation is much more significant in wireless communications systems, due to Doppler effects is calculated using Coherence Time = 0.423/Maximum Doppler Shift. To calculate Coherence Time, you need Maximum Doppler Shift (F_m). With our tool, you need to enter the respective value for Maximum Doppler Shift 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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