Entropy and Average Cost of AUH Codes

Valeriu Munteanu (1) , Daniela Tarniceriu (1) , Gheorghe Zaharia (2)

1 Faculté d'Electronique, Télécommunications et de la Technologie de l'Information
2 IETR - Institut d'Électronique et des Technologies du numéRique

In this paper we address the class of anti-uniform Huffman (AUH) codes, also named unary codes, for sources with finite and infinite alphabet, respectively. Geometric, quasi-geometric, Fibonacci and exponential distributions lead to anti-uniform sources for some ranges of their parameters. Huffman coding of these sources results in AUH codes. We prove that, in general, sources with memory are obtained as result of this encoding. For these sources we attach the graph and determine the transition matrix between states, the state probabilities and the entropy. We also compute the average cost for these AUH codes.

Mots clés: Huffman coding; average codeword length; average cost; entropy

Domaines: Electronique

Valeriu Munteanu, Daniela Tarniceriu, Gheorghe Zaharia. Entropy and Average Cost of AUH Codes. Applied Mathematics & Information Sciences, 2013, 1 (1), pp.1-7. ⟨hal-00776585⟩