Coherence Bandwidth for Multipath Channel Calculator

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✖RMS Delay Spread is a term used in wireless communication to describe the dispersion of multipath signals arriving at a receiver.ⓘ RMS Delay Spread [σ_t]

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✖Coherence bandwidth refers to a frequency range over which a wireless channel exhibits similar characteristics, specifically with regard to its frequency response.ⓘ Coherence Bandwidth for Multipath Channel [B_c]

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Formula

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Coherence Bandwidth for Multipath Channel

Formula

`"B"_{"c"} = 1/(5*"σ"_{"t"})`

Example

`"0.000699kHz"=1/(5*"0.286s")`

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Coherence Bandwidth for Multipath Channel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coherence Bandwidth = 1/(5*RMS Delay Spread)
B_c = 1/(5*σ_t)
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

B_c = 1/(5*σ_t) --> 1/(5*0.286)

Evaluating ... ...

B_c = 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

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)

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

Maximum Doppler Shift

Go Maximum Doppler Shift = (Velocity/[c])*Carrier Frequency

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 Bandwidth for Multipath Channel Formula

Coherence Bandwidth = 1/(5*RMS Delay Spread)
B_c = 1/(5*σ_t)

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 B_c 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 (σ_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 B_c = 1/(5*σ_t) 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 (σ_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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