Towards generic theory of data compression
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2007
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Torokhti, A.
Friedland, S.
Howlett, P.G.
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Conference paper
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2007 IEEE international symposium on information theory, 2007, pp.291-295
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IEEE International Symposium on Information Theory (24 Jun 2007 - 29 Jun 2007 : Nice, France)
Abstract
In this paper, we consider an extension and rigorous justification of Karhunen-Loève transform (KLT) which is an optimal technique for data compression. We propose and study the generic KLT which is treated as the best weighted linear estimator of a given rank under the condition that the associated covariance matrix is singular. As a result, the generic KLT is constructed in terms of the pseudo-inverse matrices that imply a development of the special technique. In particular, we give a solution of the new low-rank matrix approximation problem that provides a basis for the generic KLT. Theoretical aspects of the generic KLT are carefully studied. ©2007 IEEE.
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Copyright IEEE 2007