A Symmetric Cosine Transform

1 April 1980

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Computers

Vol. C-29 (4) , 317-323
https://doi.org/10.1109/tc.1980.1675570

Abstract

A new discrete cosine transform is developed in such a way that its closeness to the Karhunen–Loeve transform can be established straightforwardly. The transform is characterized by a symmetric matrix and will be referred to as the symmetric cosine transform (SCT). It is shown that a simple window on the data vector makes its covariance matrix more tractable for the SCT. Since the derivation of the SCT is, to some extent, similar to that of the fast KLT proposed by Jain, its advantages over the FKLT are discussed. The new transform is also compared with the conventional DCT proposed by Ahmed et al. The performance of the SCT is better than that of the DCT with respect to computational efficiency, the residual correlation, and the rate-distortion criterion. The SCT is also convenient in hardware implementation as both the forward and reverse operations can be handled by a single apparatus.

Keywords

This publication has 11 references indexed in Scilit:

Some Aspects of the Fast Karhunen-Loeve Transform
IEEE Transactions on Communications, 1980
On Computing the Discrete Cosine Transform
IEEE Transactions on Computers, 1978
A Fast Computational Algorithm for the Discrete Cosine Transform
IEEE Transactions on Communications, 1977
Comparison of the cosine and Fourier transforms of Markov-1 signals
IEEE Transactions on Acoustics, Speech, and Signal Processing, 1976
A Fast Karhunen-Loeve Transform for a Class of Random Processes
IEEE Transactions on Communications, 1976
A Storage Efficient Way to Implement the Discrete Cosine Transform
IEEE Transactions on Computers, 1976
Comments on "Discrete Cosine Transform"
IEEE Transactions on Computers, 1975
Discrete Cosine Transform
IEEE Transactions on Computers, 1974
Performance Measures for Transform Data Coding
IEEE Transactions on Communications, 1972
Image detection through bipolar correlation
IEEE Transactions on Information Theory, 1970