Sep 21, 2017 term paper 2

# SOME DICTIONARY CODERS CAN BE CONVERTED INTO A STATISTICAL MODEL WHICH GIVES THE SAME…

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Some dictionary coders can be converted into a statistical model which gives the same compression. The code space used by a phrase in the dictionary scheme is decomposed into the space used by the individual characters. As an example, consider a greedy parsing scheme with S = {a,b} and dictionary {a,ba,bb}. Suppose the dictionary scheme assigns 1/4 of the code space to ‘a’, 1/4 to ‘ba’, and the remaining 1/2 to ‘bb’. The

decomposition into a symbol-wise equivalent is shown in Figure 9.5.12 The statistical model is determined by the probabilities listed in the figure. Calculate the ideal number of bits assigned to each of the nodes by the symbol-wise equivalent (i.e., determine the number of bits used to encode an ‘a’ following ‘b’, etc.). Verify that that both the dictionary scheme and the statistical model give the same code length for ‘bb’.

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