Coherence Time Formula

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Coherence time refers to the duration over which the channel conditions remain relatively unchanged. Check FAQs
Tc=0.423Fm
Tc - Coherence Time?Fm - Maximum Doppler Shift?

Coherence Time Example

With values
With units
Only example

Here is how the Coherence Time equation looks like with Values.

Here is how the Coherence Time equation looks like with Units.

Here is how the Coherence Time equation looks like.

0.0077Edit=0.4230.0551Edit
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Coherence Time Solution

Follow our step by step solution on how to calculate Coherence Time?

FIRST Step Consider the formula
Tc=0.423Fm
Next Step Substitute values of Variables
Tc=0.4230.0551kHz
Next Step Convert Units
Tc=0.42355.1Hz
Next Step Prepare to Evaluate
Tc=0.42355.1
Next Step Evaluate
Tc=0.00767695099818512s
LAST Step Rounding Answer
Tc=0.0077s

Coherence Time Formula Elements

Variables
Coherence Time
Coherence time refers to the duration over which the channel conditions remain relatively unchanged.
Symbol: Tc
Measurement: TimeUnit: s
Note: Value can be positive or negative.
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: Fm
Measurement: FrequencyUnit: kHz
Note: Value should be greater than 0.

Other formulas in Frequency Reuse Concept category

​Go Forward Frame
F.F=𝝉+R.F+44Ts
​Go Reverse Frame
R.F=F.F-(𝝉+44Ts)
​Go Time Slots
𝝉=F.F-(R.F+44Ts)
​Go Channel Reuse Ratio
Q=3K

How to Evaluate Coherence Time?

Coherence Time evaluator uses Coherence Time = 0.423/Maximum Doppler Shift to evaluate 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 evaluate Coherence Time using this online evaluator? To use this online evaluator for Coherence Time, enter Maximum Doppler Shift (Fm) and hit the calculate button.

FAQs on Coherence Time

What is the formula to find Coherence Time?
The formula of Coherence Time is expressed as Coherence Time = 0.423/Maximum Doppler Shift. Here is an example- 0.007677 = 0.423/55.1.
How to calculate Coherence Time?
With Maximum Doppler Shift (Fm) we can find Coherence Time using the formula - Coherence Time = 0.423/Maximum Doppler Shift.
Can the Coherence Time be negative?
Yes, the Coherence Time, measured in Time can be negative.
Which unit is used to measure Coherence Time?
Coherence Time is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Coherence Time can be measured.
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