Error Vector Magnitude using Average Power Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
EVM2 = (1/Pavg)*(1/N)*sum(x,1,N,(ej)^2)
This formula uses 1 Functions, 4 Variables
Functions Used
sum - Summation or sigma (∑) notation is a method used to write out a long sum in a concise way., sum(i, from, to, expr)
Variables Used
Error Vector Magnitude Using Average Power - Error Vector Magnitude Using Average Power to represent the deviation of the constellation points from their ideal positions.
Average Signal Power - (Measured in Watt) - Average Signal Power refers to the average power carried by a signal over a specified period of time.
Number of Error Vectors - Number of Error Vectors is the count of vectors that are drawn between each measured point and its ideal position.
Magnitude of Each Error Vector - (Measured in Meter) - Magnitude of Each Error Vector is a measure of the absolute size or length of the error in a vector space.
STEP 1: Convert Input(s) to Base Unit
Average Signal Power: 15 Watt --> 15 Watt No Conversion Required
Number of Error Vectors: 9 --> No Conversion Required
Magnitude of Each Error Vector: 8 Meter --> 8 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
EVM2 = (1/Pavg)*(1/N)*sum(x,1,N,(ej)^2) --> (1/15)*(1/9)*sum(x,1,9,(8)^2)
Evaluating ... ...
EVM2 = 4.26666666666667
STEP 3: Convert Result to Output's Unit
4.26666666666667 --> No Conversion Required
FINAL ANSWER
4.26666666666667 4.266667 <-- Error Vector Magnitude Using Average Power
(Calculation completed in 00.004 seconds)

Credits

Created by Zaheer Sheik
Seshadri Rao Gudlavalleru Engineering College (SRGEC), Gudlavalleru
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Error Vector Magnitude using Average Power 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)
EVM2 = (1/Pavg)*(1/N)*sum(x,1,N,(ej)^2)

What is the purpose of calculating Error Vector Magnitude using Average Power?

The constellation can also provide a quantitative measure of the impairments that corrupt the signal. Representing the deviation of the constellation points from their ideal positions, the “error vector magnitude” (EVM) is such a measure. To obtain the EVM, a constellation based on a large number of detected samples is constructed and a vector is drawn between each measured point and its ideal position. The EVM is defined as the rms magnitude of these error vectors normalized to the signal rms voltage. But in this method average signal power is used to calculate the error vector magnitude.

How to Calculate Error Vector Magnitude using Average Power?

Error Vector Magnitude using Average Power calculator 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 calculate 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 calculate Error Vector Magnitude using Average Power using this online calculator? To use this online calculator for Error Vector Magnitude using Average Power, enter Average Signal Power (Pavg), Number of Error Vectors (N) & Magnitude of Each Error Vector (ej) and hit the calculate button. Here is how the Error Vector Magnitude using Average Power calculation can be explained with given input values -> 4.266667 = (1/15)*(1/9)*sum(x,1,9,(8)^2).

FAQ

What is 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 and is represented as EVM2 = (1/Pavg)*(1/N)*sum(x,1,N,(ej)^2) or 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). Average Signal Power refers to the average power carried by a signal over a specified period of time, Number of Error Vectors is the count of vectors that are drawn between each measured point and its ideal position & Magnitude of Each Error Vector is a measure of the absolute size or length of the error in a vector space.
How to calculate 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 is calculated using 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 calculate Error Vector Magnitude using Average Power, you need Average Signal Power (Pavg), Number of Error Vectors (N) & Magnitude of Each Error Vector (ej). With our tool, you need to enter the respective value for Average Signal Power, Number of Error Vectors & Magnitude of Each Error Vector 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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