Multidimensional digitization of data followed by a mapping (Corresp.)
- 1 January 1984
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Information Theory
- Vol. 30 (1) , 107-110
- https://doi.org/10.1109/tit.1984.1056837
Abstract
In many applications it is necessary to digitize data, knowing only that later on some random function of the digitized data will be of interest. This problem is investigated when the data digitizers are allowed to be multidimensional, i.e., they map aK-dimensional data vector into one of a set ofK-dimensional output vectors. It is shown that very complex distortion measures arise naturally. Results are given for the error measure defined as the squared value of the difference between the function of the digitized data and the function of the undigitized data.Keywords
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