Title :
A nearly optimal transformation
Author_Institution :
Kunming Institute of Physics, Kunming, China
Abstract :
A new transform, the phase shift cosine transform (PSCT), is introduced. It almost diagonizes the even part of the covariance matrix of a high correlated Markov-I sequence. Several criteria are established for measuring the closeness of a transform to the Karhunen-Loeve transform (KLT). All these criteria show that the PSCT measures closer to the even part of the KLT than the version II of the discrete cosine transform (DCT-II).
Keywords :
Covariance matrix; Discrete transforms; Karhunen-Loeve transforms; Matrix decomposition; Mean square error methods; Symmetric matrices; Tellurium; Wiener filter;
Conference_Titel :
Acoustics, Speech, and Signal Processing, IEEE International Conference on ICASSP '86.
DOI :
10.1109/ICASSP.1986.1168972