New ternary line codes based on trellis structure

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 ternar...

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Bibliographic Details
Published in:IEEE transactions on communications 1993-06, Vol.41 (6), p.864-873
Main Authors: Aygolu, U., Panayirci, E.
Format: Article
Language:English
Subjects:
Applied sciences
Baseband
Binary sequences
Coding, codes
Convolutional codes
Decoding
Error analysis
Euclidean distance
Exact sciences and technology
Information rates
Information, signal and communications theory
Performance analysis
Signal and communications theory
Telecommunications and information theory
Upper bound
Viterbi algorithm
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Summary: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 2/sup n+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.< >
ISSN:0090-6778
1558-0857
DOI:10.1109/26.231909