err = immse( X , Y ) calculates the mean-squared error (MSE) between the arrays X and Y . A lower MSE value indicates greater similarity between X and Y .

Table of Contents

## How does MATLAB calculate MSE?

err = immse( X , Y ) calculates the mean-squared error (MSE) between the arrays X and Y . A lower MSE value indicates greater similarity between X and Y .

## How do I find the RMS error in MATLAB?

err = immse(X,Y) calculates the mean-squared error (MSE) between the arrays X and Y. X and Y can be arrays of any dimension, but must be of the same size and class.

**How do you find the RMS of a sine wave?**

RMS Voltage Equation Then the RMS voltage (VRMS) of a sinusoidal waveform is determined by multiplying the peak voltage value by 0.7071, which is the same as one divided by the square root of two ( 1/√2 ).

**What is the root mean square value?**

The rms value of a sinusoidal voltage (or any time-varying voltage) is equivalent to the value of a dc voltage that causes an equal amount of heat (power dissipation) due to the circuit current flowing through a resistance.

### What is root mean square level?

The RMS value of a set of values (or a continuous-time waveform) is the square root of the arithmetic mean of the squares of the values, or the square of the function that defines the continuous waveform.

### What is MSE of an image?

The mean-square error (MSE) and the peak signal-to-noise ratio (PSNR) are used to compare image compression quality. The MSE represents the cumulative squared error between the compressed and the original image, whereas PSNR represents a measure of the peak error. The lower the value of MSE, the lower the error.

**What is MSE in image processing?**

1 Mean-Square Error. MSE value denotes the average difference of the pixels all over the image. A higher value of MSE designates a greater difference amid the original image and processed image.

**How do you find the mean of a vector in MATLAB?**

M = mean( A ) returns the mean of the elements of A along the first array dimension whose size does not equal 1.

- If A is a vector, then mean(A) returns the mean of the elements.
- If A is a matrix, then mean(A) returns a row vector containing the mean of each column.

## How do I find the mean of a vector?

How to Compute Vector Means

- This lesson explains how to use matrix methods to compute the means of vector elements and the means of matrix columns.
- x = Σxi / n.
- where x is the mean of observations, Σxi is the sum of all observations, and n is the number of observations.
- x = 1’x ( 1’1 )-1 = 1’x ( 1/n )

## What is RMS of sine wave?

**What is the RMS value of square wave?**

Detailed Solution

WAVEFORM | MAX. VALUE | RMS VALUE |
---|---|---|

SINUSOIDAL WAVE | A m | A m 2 |

SQUARE WAVE | A m | A m |

TRIANGULAR WAVE | A m | A m 3 |

HALF-WAVE RECTIFIED WAVE | A m | A m 2 |