Error Vector Magnitude using RMS Voltage Solution

STEP 0: Pre-Calculation Summary
Formula Used
Error Vector Magnitude Using Rms Voltage = (1/Rms Voltage of the Signal)*sqrt((1/Number of Error Vectors)*sum(x,1,Number of Error Vectors,(Magnitude of Each Error Vector)^2))
EVM1 = (1/Vrms)*sqrt((1/N)*sum(x,1,N,(ej)^2))
This formula uses 2 Functions, 4 Variables
Functions Used
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., sqrt(Number)
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 Rms Voltage - Error Vector Magnitude Using Rms Voltage to represent the deviation of the constellation points from their ideal positions.
Rms Voltage of the Signal - (Measured in Volt) - Rms Voltage of the Signal is a measure of the effective voltage level of the signal over a certain 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
Rms Voltage of the Signal: 5.25 Volt --> 5.25 Volt 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
EVM1 = (1/Vrms)*sqrt((1/N)*sum(x,1,N,(ej)^2)) --> (1/5.25)*sqrt((1/9)*sum(x,1,9,(8)^2))
Evaluating ... ...
EVM1 = 1.52380952380952
STEP 3: Convert Result to Output's Unit
1.52380952380952 --> No Conversion Required
FINAL ANSWER
1.52380952380952 1.52381 <-- Error Vector Magnitude Using Rms Voltage
(Calculation completed in 00.004 seconds)

Credits

Created by Zaheer Sheik
Seshadri Rao Gudlavalleru Engineering College (SRGEC), Gudlavalleru
Zaheer Sheik has created this Calculator and 10+ more calculators!
Verified by banuprakash
Dayananda Sagar College of Engineering (DSCE), Bangalore
banuprakash has verified this Calculator and 25+ more calculators!

12 Frequency Modulation Calculators

Overall Received Signal in Mobile Communication
Go Overall Received Signal = (sum(x,1,Index Variable,Complex Valued Envelope*cos(Angle of Arrival)))*cos(Carrier Angular Frequency*Time Period of Signal)-(sum(x,1,Index Variable,Complex Valued Envelope*sin(Angle of Arrival)))*sin(Carrier Angular Frequency*Time Period of Signal)
Error Vector Magnitude using RMS Voltage
Go Error Vector Magnitude Using Rms Voltage = (1/Rms Voltage of the Signal)*sqrt((1/Number of Error Vectors)*sum(x,1,Number of Error Vectors,(Magnitude of Each Error Vector)^2))
Error Vector Magnitude using Average Power
Go 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)
Bandwidth with respect to Modulation Index of FM
Go Bandwidth of FM Wave = (2*Frequency Deviation)*(1+(1/Modulation Index in FM))
Bandwidth of FM by Carson Rule with Beta
Go Bandwidth of FM Wave = 2*(1+Modulation Index in FM)*Modulating Frequency
Frequency Sensitivity
Go Frequency Sensitivity = Frequency Deviation/Peak Amplitude of Message
Frequency Deviation
Go Frequency Deviation = Frequency Sensitivity*Peak Amplitude of Message
Bandwidth of FM wave by Carson Rule
Go Bandwidth of FM Wave = 2*(Frequency Deviation+Modulating Frequency)
Frequency Deviation provided Modulation Index
Go Frequency Deviation = Modulation Index in FM*Modulating Frequency
Modulation Index of FM Wave
Go Modulation Index in FM = Frequency Deviation/Modulating Frequency
Modulating Frequency
Go Modulating Frequency = Angular Frequency/(2*pi)
Carrier Swing
Go Carrier Swing = 2*Frequency Deviation

Error Vector Magnitude using RMS Voltage Formula

Error Vector Magnitude Using Rms Voltage = (1/Rms Voltage of the Signal)*sqrt((1/Number of Error Vectors)*sum(x,1,Number of Error Vectors,(Magnitude of Each Error Vector)^2))
EVM1 = (1/Vrms)*sqrt((1/N)*sum(x,1,N,(ej)^2))

What is the purpose of calculating the Error Vector Magnitude using RMS Voltage?

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.

How to Calculate Error Vector Magnitude using RMS Voltage?

Error Vector Magnitude using RMS Voltage calculator uses Error Vector Magnitude Using Rms Voltage = (1/Rms Voltage of the Signal)*sqrt((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 Rms Voltage, The Error Vector Magnitude using RMS Voltage formula is used to represent the deviation of the constellation points from their ideal position. Error Vector Magnitude Using Rms Voltage is denoted by EVM1 symbol.

How to calculate Error Vector Magnitude using RMS Voltage using this online calculator? To use this online calculator for Error Vector Magnitude using RMS Voltage, enter Rms Voltage of the Signal (Vrms), Number of Error Vectors (N) & Magnitude of Each Error Vector (ej) and hit the calculate button. Here is how the Error Vector Magnitude using RMS Voltage calculation can be explained with given input values -> 1.52381 = (1/5.25)*sqrt((1/9)*sum(x,1,9,(8)^2)).

FAQ

What is Error Vector Magnitude using RMS Voltage?
The Error Vector Magnitude using RMS Voltage formula is used to represent the deviation of the constellation points from their ideal position and is represented as EVM1 = (1/Vrms)*sqrt((1/N)*sum(x,1,N,(ej)^2)) or Error Vector Magnitude Using Rms Voltage = (1/Rms Voltage of the Signal)*sqrt((1/Number of Error Vectors)*sum(x,1,Number of Error Vectors,(Magnitude of Each Error Vector)^2)). Rms Voltage of the Signal is a measure of the effective voltage level of the signal over a certain 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 RMS Voltage?
The Error Vector Magnitude using RMS Voltage formula is used to represent the deviation of the constellation points from their ideal position is calculated using Error Vector Magnitude Using Rms Voltage = (1/Rms Voltage of the Signal)*sqrt((1/Number of Error Vectors)*sum(x,1,Number of Error Vectors,(Magnitude of Each Error Vector)^2)). To calculate Error Vector Magnitude using RMS Voltage, you need Rms Voltage of the Signal (Vrms), Number of Error Vectors (N) & Magnitude of Each Error Vector (ej). With our tool, you need to enter the respective value for Rms Voltage of the Signal, 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.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!