Title :
Asymptotic Properties of Discrete Unitary Transforms
Author :
Yemini, Yechiam ; Pearl, Judea
Author_Institution :
MEMBER, IEEE, Engineering and Applied Science, University of California, Los Angeles, CA 90024; Information Science Institute, Marina Del Rey, CA.
Abstract :
A method for studying the asymptotic behavior of discrete transformations is developed using numerical quadrature theory. This method allows a more convenient examination of the correlation properties of common unitary transforms for large block sizes. As a practical result of this method it is shown that the discrete cosine transform is asymptotically optimal for all finite-order Markov signals.
Keywords :
Covariance matrix; Decorrelation; Degradation; Discrete Fourier transforms; Discrete cosine transforms; Discrete transforms; Fourier transforms; Karhunen-Loeve transforms; Signal processing; Statistics; Discrete cosine transform; discrete Fourier transform; signal processing; unitary transform;
Journal_Title :
Pattern Analysis and Machine Intelligence, IEEE Transactions on
DOI :
10.1109/TPAMI.1979.4766945
