Mathematical Preliminaries for Lossy Coding
Abstract
In this chapter, we present some of the mathematical background necessary for understanding and appreciating lossy compression schemes. In lossless compression schemes, rate is the general concern. With lossy compression schemes, the loss of information associated with such schemes is also a concern. We will look at different ways of assessing the impact of the loss of information. We will also briefly revisit the subject of information theory, mainly to get an understanding of the part of the theory that deals with the trade-offs involved in reducing the rate, or number of bits per sample, at the expense of the introduction of distortion in the decoded information. This aspect ...
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