How to Efficiently Calculate the RMS of a Large 3D Matrix in MATLAB?

In summary, The conversation discusses trying to calculate the RMS of a large matrix and finding an easier way to do so without using loops. The idea of using the mean and standard deviation is brought up, but it is noted that it only works for the mean and not the standard deviation. Possible solutions are suggested, such as using the mean function to get a single value or finding a way to incorporate the standard deviation.
  • #1
sasikanth
9
0
I have a 4072x22x10 matrix. I am trying to calculate the RMS of the 4072x22 matrix but am unable to do so. The worst case scenario would be to individually calculate the RMS value of each element but that would require a number of loops and I don't want to do so. Is there any easier way to get the result of a 4072x22 matrix??
 
Physics news on Phys.org
  • #2
Why can you not do it now? Do you run out of memory?

Maybe I am wrong, but can't you just:
A = 4072X22X10 matrix

B = A(:,:,1)
rms = sqrt (mean(B(:))^2 + std(B(:))^2)
 
  • #3
This might work, but I am looking for the RMS of not A(:,:,1), but all the 10 matrices..basically i have 10 4072x22 matrices put together in 1 3d matrix and I want the RMS of these 10 4072x22 matrices as one matrix..
 
  • #4
This will return a single value for the rms of all elements of A. Or do you want the rms of each of the 10 matricies?

A = 4072X22X10 matrix

rms = sqrt (mean(A(:))^2 + std(A(:))^2)
 
  • #5
This returns a single value but that's not what I want. I want the rms of each of the 10 matrices, result to be a 4072x22 matrix.
 
  • #6
If your desired output is one 4072X22 matrix, try:

B = mean(A,3)

hmm, only seems to work for mean, not std. Might need some more code to help Matlab along.
 

1. What is the RMS of a 3d matrix in MATLAB?

The RMS (Root Mean Square) of a 3d matrix in MATLAB is a measure of the spread of the values in the matrix. It is calculated by taking the square root of the mean of the squares of all the elements in the matrix.

2. How do I calculate the RMS of a 3d matrix in MATLAB?

To calculate the RMS of a 3d matrix in MATLAB, you can use the built-in function "rms". Simply input the 3d matrix as the argument and the function will return the RMS value.

3. Why is the RMS of a 3d matrix in MATLAB useful?

The RMS of a 3d matrix in MATLAB is useful in many scientific and engineering applications as it provides a single value that represents the overall spread of the data. This can be helpful for comparing different data sets or identifying outliers in the data.

4. Can the RMS of a 3d matrix in MATLAB be negative?

No, the RMS of a 3d matrix in MATLAB cannot be negative. This is because the calculation involves squaring all the elements in the matrix, resulting in only positive values. Therefore, the RMS value will always be positive or zero.

5. How can I visualize the RMS of a 3d matrix in MATLAB?

You can visualize the RMS of a 3d matrix in MATLAB by plotting a 3d surface plot of the matrix and color-coding the values based on their RMS values. This can help to identify areas of high and low variation in the data.

Similar threads

MATLAB MATLAB: Fluid Flow - Curl of a Vector Field
    • MATLAB, Maple, Mathematica, LaTeX
Replies
2
Views
800
MATLAB Can I calculate the covariance matrix of a large set of data?
    • MATLAB, Maple, Mathematica, LaTeX
Replies
5
Views
1K
MATLAB FEM, Matlab and the modes of an element
    • MATLAB, Maple, Mathematica, LaTeX
Replies
32
Views
2K
MATLAB Plotting a 3D image from a matrix for a complex domain
    • MATLAB, Maple, Mathematica, LaTeX
Replies
2
Views
1K
MATLAB Matlab's numeric solution to det of Matrix is incorrect
    • MATLAB, Maple, Mathematica, LaTeX
Replies
5
Views
1K
Problem calculating eigenvalues and eigenvectors
    • MATLAB, Maple, Mathematica, LaTeX
Replies
1
Views
850
MATLAB How can I efficiently extract elements from a large cell in MATLAB?
    • MATLAB, Maple, Mathematica, LaTeX
Replies
9
Views
4K
MATLAB Bilinear spline interpolation MATLAB using MESHGRID and SURF
    • MATLAB, Maple, Mathematica, LaTeX
Replies
2
Views
2K
Gaussian Elimination of Singular Matrix with partial pivoting
    • Calculus and Beyond Homework Help
Replies
1
Views
633
MATLAB Calculating the time taken for an asteroid mission using MATLAB
    • MATLAB, Maple, Mathematica, LaTeX
Replies
1
Views
679

Hot Threads

Recent Insights

Back
Top