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Coherence Bandwidth for Multipath Channel Formula

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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. Check FAQs

B c = \frac{1}{5 \cdot σ t}

B_c - Coherence Bandwidth?σ_t - RMS Delay Spread?

Coherence Bandwidth for Multipath Channel Example

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Here is how the Coherence Bandwidth for Multipath Channel equation looks like with Values.

Here is how the Coherence Bandwidth for Multipath Channel equation looks like with Units.

Here is how the Coherence Bandwidth for Multipath Channel equation looks like.

0.0007 = \frac{1}{5 \cdot 0.286}

0.0007kHz = \frac{1}{5 \cdot 0.286s}

0.0007 = \frac{1}{5 \cdot 0.286}

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Coherence Bandwidth for Multipath Channel Solution

Follow our step by step solution on how to calculate Coherence Bandwidth for Multipath Channel?

FIRST Step Consider the formula

B c = \frac{1}{5 \cdot σ t}

Next Step Substitute values of Variables

∴

B c = \frac{1}{5 \cdot 0.286s}

Next Step Prepare to Evaluate

∴

B c = \frac{1}{5 \cdot 0.286}

Next Step Evaluate

∴

B c = 0.699300699300699Hz

Next Step Convert to Output's Unit

∴

B c = 0.000699300699300699kHz

LAST Step Rounding Answer

∴

B c = 0.0007kHz

Coherence Bandwidth for Multipath Channel Formula Elements

Variables

Coherence Bandwidth

Coherence bandwidth refers to a frequency range over which a wireless channel exhibits similar characteristics, specifically with regard to its frequency response.

Symbol: B_c

Measurement: FrequencyUnit: kHz

Note: Value should be greater than 0.

Formulas to find Coherence Bandwidth

RMS Delay Spread

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

Symbol: σ_t

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find RMS Delay Spread

Other formulas in Frequency Reuse Concept category

Go Forward Frame

F.F = 𝝉 + R.F + 44 \cdot T s

Go Reverse Frame

R.F = F.F - (𝝉 + 44 \cdot T s)

Go Time Slots

𝝉 = F.F - (R.F + 44 \cdot T s)

Go Channel Reuse Ratio

Q = \sqrt{3 \cdot K}

How to Evaluate Coherence Bandwidth for Multipath Channel?

Coherence Bandwidth for Multipath Channel evaluator uses Coherence Bandwidth = 1/(5*RMS Delay Spread) to evaluate 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 evaluate Coherence Bandwidth for Multipath Channel using this online evaluator? To use this online evaluator for Coherence Bandwidth for Multipath Channel, enter RMS Delay Spread (σ_t) and hit the calculate button.

FAQs on Coherence Bandwidth for Multipath Channel

What is the formula to find Coherence Bandwidth for Multipath Channel?

The formula of Coherence Bandwidth for Multipath Channel is expressed as Coherence Bandwidth = 1/(5*RMS Delay Spread). Here is an example- 7E-7 = 1/(5*0.286).

How to calculate Coherence Bandwidth for Multipath Channel?

With RMS Delay Spread (σ_t) we can find Coherence Bandwidth for Multipath Channel using the formula - Coherence Bandwidth = 1/(5*RMS Delay Spread).

Can the Coherence Bandwidth for Multipath Channel be negative?

No, the Coherence Bandwidth for Multipath Channel, measured in Frequency cannot be negative.

Which unit is used to measure Coherence Bandwidth for Multipath Channel?

Coherence Bandwidth for Multipath Channel is usually measured using the Kilohertz[kHz] for Frequency. Hertz[kHz], Petahertz[kHz], Terahertz[kHz] are the few other units in which Coherence Bandwidth for Multipath Channel can be measured.

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