Polynomials for guided scrambling line codes

TitlePolynomials for guided scrambling line codes
Publication TypeJournal Article
Year of Publication1995
AuthorsFair, I. J., Q. Wang, and V. K. Bhargava
JournalSelected Areas in Communications, IEEE Journal on
Pagination499 -509
Date Publishedapr.
Keywordsbalanced encoding, code configurations, encoded bit stream, encoding, fiber optic transmission systems, guided scrambling line codes, high bit rate systems, line coding, optical fibre communication, optical fibre networks, polynomials, power spectra, scrambling polynomials, statistics

Guided scrambling (GS) is a line coding technique developed specifically for high bit rate fiber optic transmission systems. This paper continues the development of GS coding by introducing more scrambling polynomials that can be used with this technique. First, a method is presented for constructing polynomials which can be used with balanced encoding. Then it is shown that these polynomials can be used as bases for large families of polynomials, an expansion whose usefulness is demonstrated with the presentation of power spectra for several code configurations. These results indicate that polynomials can be selected from these families to exercise control over average as well as worst-case statistics of the encoded bit stream, a property not available with any other single efficient, balanced line coding technique developed to date. Criteria for polynomial selection are given, and polynomials are recommended for several GS code configurations


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