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RMS Delay Spread Formula

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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. Check FAQs

σ t = \sqrt{τ'' - {(τ')}^{2}}

σ_t - RMS Delay Spread?τ'' - Variance Mean Excess Delay?τ' - Mean Excess Delay?

RMS Delay Spread Example

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Here is how the RMS Delay Spread equation looks like with Values.

Here is how the RMS Delay Spread equation looks like with Units.

Here is how the RMS Delay Spread equation looks like.

0.2863 = \sqrt{0.084 - {(0.045)}^{2}}

0.2863s = \sqrt{0.084s - {(0.045s)}^{2}}

0.2863 = \sqrt{0.084 - {(0.045)}^{2}}

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RMS Delay Spread Solution

Follow our step by step solution on how to calculate RMS Delay Spread?

FIRST Step Consider the formula

σ t = \sqrt{τ'' - {(τ')}^{2}}

Next Step Substitute values of Variables

∴

σ t = \sqrt{0.084s - {(0.045s)}^{2}}

Next Step Prepare to Evaluate

∴

σ t = \sqrt{0.084 - {(0.045)}^{2}}

Next Step Evaluate

∴

σ t = 0.286312766044408s

LAST Step Rounding Answer

∴

σ t = 0.2863s

RMS Delay Spread Formula Elements

Variables

Functions

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

Variance Mean Excess Delay

Variance Mean Excess Delay is a statistical measure that quantifies the spread of a parameter of data points. It provides information about the values of the parameter are distributed around the mean.

Symbol: τ''

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Variance Mean Excess Delay

Mean Excess Delay

Mean Excess Delay refers to a metric used to quantify the time dispersion or spreading of signals in a wireless channel.

Symbol: τ'

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Mean Excess Delay

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

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Go Channel Reuse Ratio

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How to Evaluate RMS Delay Spread?

RMS Delay Spread evaluator uses RMS Delay Spread = sqrt(Variance Mean Excess Delay-(Mean Excess Delay)^2) to evaluate the RMS Delay Spread, The RMS Delay Spread formula is defined as is a measure of the multipath profile of a mobile communications channel. It is generally defined as the difference between the time of arrival of the earliest component and the time of arrival of the latest multipath component. RMS Delay Spread is denoted by σ_t symbol.

How to evaluate RMS Delay Spread using this online evaluator? To use this online evaluator for RMS Delay Spread, enter Variance Mean Excess Delay (τ'') & Mean Excess Delay (τ') and hit the calculate button.

FAQs on RMS Delay Spread

What is the formula to find RMS Delay Spread?

The formula of RMS Delay Spread is expressed as RMS Delay Spread = sqrt(Variance Mean Excess Delay-(Mean Excess Delay)^2). Here is an example- 0.286313 = sqrt(0.084-(0.045)^2).

How to calculate RMS Delay Spread?

With Variance Mean Excess Delay (τ'') & Mean Excess Delay (τ') we can find RMS Delay Spread using the formula - RMS Delay Spread = sqrt(Variance Mean Excess Delay-(Mean Excess Delay)^2). This formula also uses Square Root (sqrt) function(s).

Can the RMS Delay Spread be negative?

Yes, the RMS Delay Spread, measured in Time can be negative.

Which unit is used to measure RMS Delay Spread?

RMS Delay Spread is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which RMS Delay Spread can be measured.

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RMS Delay Spread Formula

RMS Delay Spread Example

RMS Delay Spread Solution

RMS Delay Spread Formula Elements

Other formulas in Frequency Reuse Concept category

How to Evaluate RMS Delay Spread?

FAQs on RMS Delay Spread

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