Suboptimality of the Karhunen-Loeve transform for transform coding

M Effros, H Feng, K Zeger - IEEE Transactions on Information …, 2004 - ieeexplore.ieee.org
We examine the performance of the Karhunen-Loeve transform (KLT) for transform coding
applications. The KLT has long been viewed as the best available block transform for a
system that orthogonally transforms a vector source, scalar quantizes the components of the
transformed vector using optimal bit allocation, and then inverse transforms the vector. This
paper treats fixed-rate and variable-rate transform codes of non-Gaussian sources. The fixed-
rate approach uses an optimal fixed-rate scalar quantizer to describe the transform …

Suboptimality of the Karhunen-Loeve transform for transform coding

M Effros, H Feng, K Zeger - Data Compression Conference …, 2003 - ieeexplore.ieee.org
The performance of the KLT for transform coding applications was examined. The KLT has
long been viewed as the best available block transform for transform coding. The fixed-rate
and variable-rate transform codes were also presented. The fixed-rate approach uses an
optimal fixed-rate scalar quantizer to describe the transform coefficients; the variable-rate
approach uses a uniform scalar quantizer followed by an optimal entropy code. Earlier work
shows that for the variable-rate case, there exist sources on which the KLT is not unique and …