Second-order noiseless source coding theorems

  • Authors:
  • I. Kontoyiannis

  • Affiliations:
  • Dept. of Electr. Eng., Stanford Univ., CA

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2006

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Abstract

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