Coherence Time Solution

STEP 0: Pre-Calculation Summary
Formula Used
Coherence Time = 0.423/Maximum Doppler Shift
Tc = 0.423/Fm
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
Tc = 0.423/Fm --> 0.423/55.1
Evaluating ... ...
Tc = 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)

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!

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

Coherence Time Formula

Coherence Time = 0.423/Maximum Doppler Shift
Tc = 0.423/Fm

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 Tc symbol.

How to calculate Coherence Time using this online calculator? To use this online calculator for Coherence Time, enter Maximum Doppler Shift (Fm) 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 Tc = 0.423/Fm 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 (Fm). 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.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!