NEW TERNARY LINE CODES BASED ON TRELLIS STRUCTURE


AYGOLU U., PANAYIRCI E.

IEEE TRANSACTIONS ON COMMUNICATIONS, vol.41, no.6, pp.864-873, 1993 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 41 Issue: 6
  • Publication Date: 1993
  • Doi Number: 10.1109/26.231909
  • Journal Name: IEEE TRANSACTIONS ON COMMUNICATIONS
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.864-873

Abstract

The trellis coding technique is applied to line-coded baseband digital transmission systems. For R = n/n + 1(n = 1, 2, 3) coding rates, a new codeword assignment model is proposed to accomplish basic requirements for line coding in which each length n binary data sequence is encoded into a length n + 1 ternary (+, 0, -) line codeword chosen among the code alphabet with 2n+2 elements. Assuming Viterbi decoding, the system error performance is improved by increasing the free Euclidean distance between coded sequences. A new algorithm is given for the calculation of the free distance between line-coded sequences so obtained. For R = 1/2 and R = 3/4 rates, the analytical error performance upper bounds are derived. The power spectral densities of the new line codes are also calculated and compared with those of known line codes.