Implement a function that calculates 1D Discrete Cosine Transform (DCT-II) for each row of a given input matrix so that the outputs are in columns.
For example:
Input:
[1 0 0 0]
Gives:
mydct([1 0 0 0])
ans =
0.5
0.65328
0.5
0.2706
Solution Stats
Problem Comments
1 Comment
Solution Comments
Show comments
Loading...
Problem Recent Solvers22
Suggested Problems
-
4516 Solvers
-
3448 Solvers
-
Convert Hard Drive marketing sizes to actual data sizes
69 Solvers
-
Flip the main diagonal of a matrix
922 Solvers
-
Remove white space from the string
208 Solvers
More from this Author4
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!
A fair warning to the challenger: the requested DCT-II is the orthogonal version, which means it needs to be multiplied by sqrt(2/N) where N is the size of the row, and the first element of the DCT x0 needs to be multiplied by 1/sqrt(2). It took me a while to understand. Wikipedia's formula is almost right, but it is missing those terms, which are mentioned only further below. Look at MATLAB's documentation (DCT-2), https://www.mathworks.com/help/signal/ref/dct.html, to find the proper formula.