Matrix factorizations for reversible integer mapping

Reversible integer mapping is essential for lossless source coding by transformation. A general matrix factorization theory for reversible integer mapping of invertible linear transforms is developed. Concepts of the integer factor and the elementary reversible matrix (ERM) for integer mapping are i...

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Veröffentlicht in:	IEEE transactions on signal processing 2001-10, Vol.49 (10), p.2314-2324
Hauptverfasser:	Hao, Pengwei, Shi, Qingyun
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied sciences Computational complexity Discrete cosine transforms Discrete transforms Discrete wavelet transforms Exact sciences and technology Factorization Filter bank Filtering Image coding Image reconstruction Information science Information, signal and communications theory Integer programming Integers Ladders Mapping Mathematical analysis Mathematical methods Optimization Source coding Studies Telecommunications and information theory Transformations Transforms
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