Coherence Bandwidth for Multipath Channel Solution

STEP 0: Pre-Calculation Summary
Formula Used
Coherence Bandwidth = 1/(5*RMS Delay Spread)
Bc = 1/(5*σt)
This formula uses 2 Variables
Variables Used
Coherence Bandwidth - (Measured in Hertz) - Coherence bandwidth refers to a frequency range over which a wireless channel exhibits similar characteristics, specifically with regard to its frequency response.
RMS Delay Spread - (Measured in Second) - RMS Delay Spread is a term used in wireless communication to describe the dispersion of multipath signals arriving at a receiver.
STEP 1: Convert Input(s) to Base Unit
RMS Delay Spread: 0.286 Second --> 0.286 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Bc = 1/(5*σt) --> 1/(5*0.286)
Evaluating ... ...
Bc = 0.699300699300699
STEP 3: Convert Result to Output's Unit
0.699300699300699 Hertz -->0.000699300699300699 Kilohertz (Check conversion ​here)
FINAL ANSWER
0.000699300699300699 0.000699 Kilohertz <-- Coherence Bandwidth
(Calculation completed in 00.004 seconds)

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Created by Rachita C
BMS College Of Engineering (BMSCE), Banglore
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Verified by Vidyashree V
BMS College of Engineering (BMSCE), Bangalore
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Coherence Bandwidth for Multipath Channel Formula

​LaTeX ​Go
Coherence Bandwidth = 1/(5*RMS Delay Spread)
Bc = 1/(5*σt)

Why Coherence Bandwidth calculation is necessary?

The Coherence Bandwidth (Bc) is given by 1 over 50 times the rms delay spread. For a good transmission from transmitter to a receiver, the range of frequency should not exceed the value obtained from the Bc calculation, so that all the frequencies in this band experience the same channel characteristics. Equilizers are needed in order to use transmission frequencies that are larger than this value.

How to Calculate Coherence Bandwidth for Multipath Channel?

Coherence Bandwidth for Multipath Channel calculator uses Coherence Bandwidth = 1/(5*RMS Delay Spread) to calculate the Coherence Bandwidth, The Coherence Bandwidth for Multipath Channel is the range of frequencies over which channel is constant and the frequency correlation is above 0.5. Coherence Bandwidth is denoted by Bc symbol.

How to calculate Coherence Bandwidth for Multipath Channel using this online calculator? To use this online calculator for Coherence Bandwidth for Multipath Channel, enter RMS Delay Spread t) and hit the calculate button. Here is how the Coherence Bandwidth for Multipath Channel calculation can be explained with given input values -> 7E-7 = 1/(5*0.286).

FAQ

What is Coherence Bandwidth for Multipath Channel?
The Coherence Bandwidth for Multipath Channel is the range of frequencies over which channel is constant and the frequency correlation is above 0.5 and is represented as Bc = 1/(5*σt) or Coherence Bandwidth = 1/(5*RMS Delay Spread). RMS Delay Spread is a term used in wireless communication to describe the dispersion of multipath signals arriving at a receiver.
How to calculate Coherence Bandwidth for Multipath Channel?
The Coherence Bandwidth for Multipath Channel is the range of frequencies over which channel is constant and the frequency correlation is above 0.5 is calculated using Coherence Bandwidth = 1/(5*RMS Delay Spread). To calculate Coherence Bandwidth for Multipath Channel, you need RMS Delay Spread t). With our tool, you need to enter the respective value for RMS Delay Spread 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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