Title :
An analytical comparative study of a class of discrete linear basis transforms
Author :
Mali, P.C. ; Majumder, D. Dutta
Author_Institution :
Dept. of Math., Jadavpur Univ., Calcutta, India
fDate :
3/1/1994 12:00:00 AM
Abstract :
For suitability to carry out a comparative study of discrete linear basis transforms, a parametric class of these transforms is considered. It is shown that under certain conditions on the parameters, every member of this class is superior to the Walsh-Hadamard transform for first-order stationary Markov process. For high correlation of this process, the class is proved to be inferior to the slant transform. A lower bound of the performance of this class is also found
Keywords :
Markov processes; discrete cosine transforms; image processing; matrix algebra; transforms; analytical comparative study; discrete linear basis transforms; first-order stationary Markov process; high correlation; lower bound; slant transform; Covariance matrix; Data analysis; Discrete transforms; Image coding; Karhunen-Loeve transforms; Markov processes; Mathematics; Pixel;
Journal_Title :
Systems, Man and Cybernetics, IEEE Transactions on
