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Error Vector Magnitude using Average Power Formula

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Error Vector Magnitude Using Average Power to represent the deviation of the constellation points from their ideal positions. Check FAQs

EVM 2 = (\frac{1}{P avg}) \cdot (\frac{1}{N}) \cdot \sum (x, 1, N, {(e j)}^{2})

EVM₂ - Error Vector Magnitude Using Average Power?P_avg - Average Signal Power?N - Number of Error Vectors?e_j - Magnitude of Each Error Vector?

Error Vector Magnitude using Average Power Example

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Here is how the Error Vector Magnitude using Average Power equation looks like with Values.

Here is how the Error Vector Magnitude using Average Power equation looks like with Units.

Here is how the Error Vector Magnitude using Average Power equation looks like.

4.2667 = (\frac{1}{15}) \cdot (\frac{1}{9}) \cdot \sum (x, 1, 9, {(8)}^{2})

4.2667 = (\frac{1}{15W}) \cdot (\frac{1}{9}) \cdot \sum (x, 1, 9, {(8m)}^{2})

4.2667 = (\frac{1}{15}) \cdot (\frac{1}{9}) \cdot \sum (x, 1, 9, {(8)}^{2})

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Error Vector Magnitude using Average Power Solution

Follow our step by step solution on how to calculate Error Vector Magnitude using Average Power?

FIRST Step Consider the formula

EVM 2 = (\frac{1}{P avg}) \cdot (\frac{1}{N}) \cdot \sum (x, 1, N, {(e j)}^{2})

Next Step Substitute values of Variables

∴

EVM 2 = (\frac{1}{15W}) \cdot (\frac{1}{9}) \cdot \sum (x, 1, 9, {(8m)}^{2})

Next Step Prepare to Evaluate

∴

EVM 2 = (\frac{1}{15}) \cdot (\frac{1}{9}) \cdot \sum (x, 1, 9, {(8)}^{2})

Next Step Evaluate

∴

EVM 2 = 4.26666666666667

LAST Step Rounding Answer

∴

EVM 2 = 4.2667

Error Vector Magnitude using Average Power Formula Elements

Variables

Functions

Error Vector Magnitude Using Average Power

Error Vector Magnitude Using Average Power to represent the deviation of the constellation points from their ideal positions.

Symbol: EVM₂

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Error Vector Magnitude Using Average Power

Average Signal Power

Average Signal Power refers to the average power carried by a signal over a specified period of time.

Symbol: P_avg

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Average Signal Power

Number of Error Vectors

Number of Error Vectors is the count of vectors that are drawn between each measured point and its ideal position.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Number of Error Vectors

Magnitude of Each Error Vector

Magnitude of Each Error Vector is a measure of the absolute size or length of the error in a vector space.

Symbol: e_j

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Magnitude of Each Error Vector

sum

Summation or sigma (∑) notation is a method used to write out a long sum in a concise way.

Syntax: sum(i, from, to, expr)

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BW FM = (2 \cdot Δf) \cdot (1 + (\frac{1}{β}))

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Δf = β \cdot f mod

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Δf = K f \cdot A m(peak)

How to Evaluate Error Vector Magnitude using Average Power?

Error Vector Magnitude using Average Power evaluator uses Error Vector Magnitude Using Average Power = (1/Average Signal Power)*(1/Number of Error Vectors)*sum(x,1,Number of Error Vectors,(Magnitude of Each Error Vector)^2) to evaluate the Error Vector Magnitude Using Average Power, The Error Vector Magnitude using Average Power formula is defined as is used to represent the deviation of the constellation points from their ideal position and average signal power used to calculate the error vector magnitude. Error Vector Magnitude Using Average Power is denoted by EVM₂ symbol.

How to evaluate Error Vector Magnitude using Average Power using this online evaluator? To use this online evaluator for Error Vector Magnitude using Average Power, enter Average Signal Power (P_avg), Number of Error Vectors (N) & Magnitude of Each Error Vector (e_j) and hit the calculate button.

FAQs on Error Vector Magnitude using Average Power

What is the formula to find Error Vector Magnitude using Average Power?

The formula of Error Vector Magnitude using Average Power is expressed as Error Vector Magnitude Using Average Power = (1/Average Signal Power)*(1/Number of Error Vectors)*sum(x,1,Number of Error Vectors,(Magnitude of Each Error Vector)^2). Here is an example- 4.266667 = (1/15)*(1/9)*sum(x,1,9,(8)^2).

How to calculate Error Vector Magnitude using Average Power?

With Average Signal Power (P_avg), Number of Error Vectors (N) & Magnitude of Each Error Vector (e_j) we can find Error Vector Magnitude using Average Power using the formula - Error Vector Magnitude Using Average Power = (1/Average Signal Power)*(1/Number of Error Vectors)*sum(x,1,Number of Error Vectors,(Magnitude of Each Error Vector)^2). This formula also uses Summation Notation (sum) function(s).

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Error Vector Magnitude using Average Power Formula

Error Vector Magnitude using Average Power Example

Error Vector Magnitude using Average Power Solution

Error Vector Magnitude using Average Power Formula Elements

Other formulas in Frequency Modulation category

How to Evaluate Error Vector Magnitude using Average Power?

FAQs on Error Vector Magnitude using Average Power

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