Characteristics of guided scrambling encoders and their coded sequences

Author

Fair, Ivan J. ; Wang, Qiang ; Bhargava, Vijay K.

Author_Institution

Dept. of Electr. Eng., Tech. Univ. Nova Scotia, Halifax, NS, Canada

Volume

43

Issue

1

fYear

1997

fDate

1/1/1997 12:00:00 AM

Firstpage

342

Lastpage

347

Abstract

We derive several properties of guided scrambling (GS) encoders and the sequences they generate. We first highlight symmetrical aspects of the GS encoding mechanisms proposed to date, and then show that the existence of discrete components in the power spectrum of the pulse-amplitude-modulated encoded sequence can be predicted from the weight of the scrambling polynomial. We also show that with equiprobable source words, the block or continuous nature of the code has no effect on the statistics of the encoded sequence. We conclude by demonstrating how these properties simplify evaluation of the spectral characteristics of GS coded sequences

Keywords

block codes; modulation coding; pulse amplitude modulation; sequential codes; source coding; spectral analysis; GS encoders; PAM; block nature; coded sequences; continuous nature; discrete components; equiprobable source words; guided scrambling encoders; power spectrum; pulse-amplitude-modulated encoded sequence; scrambling polynomial; spectral characteristics; statistics; symmetrical aspects; Arithmetic; Communication industry; Councils; Encoding; Information theory; Polynomials; Terminology; Zinc;

fLanguage

English

Journal_Title

Information Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9448

Type

jour

DOI

10.1109/18.567757

Filename

567757