Noiseless Coding Theorems Corresponding to Fuzzy Entropies

نویسندگان

  • Om Parkash
  • P. K. Sharma
چکیده

Noiseless coding theorems connected with fuzzy entropies corresponding to Shannon, Renyi and Havrada and Charvat have been established. The upper bounds of these entropies in terms of mean code word lengths have been provided and some interesting properties of these codeword lengths have been studied.

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PubTeX output 1997.05.27:1654

Shannon’s celebrated source coding theorem can be viewed as a “one-sided law of large numbers.” We formulate second-order noiseless source coding theorems for the deviation of the codeword lengths from the entropy. For a class of sources that includes Markov chains we prove a “one-sided central limit theorem” and a law of the iterated logarithm.

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تاریخ انتشار 2001