Download e-book for kindle: Advances in visual data compression and communication by Wu F.

By Wu F.

ISBN-10: 1482234157

ISBN-13: 9781482234152

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A. Thomas’s book Elements of Information Theory [5], which is a comprehensive book about Shannon’s information theory. We do not pay much attention to either the completeness of the theory or the details of how to prove the theorems step by step. Instead, we try to highlight the core ideas behind the theory and make them more intuitively understood for further practical research on visual data compression and communication. The readers, who are interested in the entire information theory, can find information on this subject by Shannon [4] and Cover and Thomas [5].

The coding process essentially begins with the leaf nodes. A new node whose children are the two nodes with the smallest probability is created. The new node’s probability is equal to the sum of the children’s probabilities. With the previous two nodes merged into one node, they are no longer considered. Instead the new node is considered. This procedure is repeated until only one node remains. As a common convention, bit “0” represents the left child and bit “1” represents the right child. A finished tree has up to q leaf nodes and q − 1 internal nodes.

Every value represents a valid message. It is very sensitive to channel noise because any corrupted bit in x will change x to another valid message. In this case, it is difficult to tell which x is really sent out. Therefore, in channel coding X is mapped into some sequence Y of channel codewords. Y is usually redundant because there are no other valid codewords in a neighboring space of every valid codeword. Yˆ is the output of the channel. The output sequence Yˆ is random but has a distribution that depends on the input sequence Y .

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Advances in visual data compression and communication by Wu F.


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