On the characterization of statistically synchronizable variable-length codes

  • Authors:
  • R. M. Capocelli;L. Gargano;U. Vaccaro

  • Affiliations:
  • Dept. of Inf. & Appl., Salerno Univ.;-;-

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

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Abstract

The authors consider statistically synchronizable variable-length codes, i.e. codes that admit decoders able to self-synchronize with high probability if the input sequence of code symbols is long enough. They show that a necessary and sufficient condition for the existence of a statistically self-synchronizing decoder and, therefore, for a code to be statistically synchronizable, is that the code has a synchronizing sequence. They also give a decision procedure to test whether a code has a synchronizing sequence. Finally, they specialize the procedure to obtain a simple and efficient algorithm to test the statistical synchronizability property of prefix codes