Artículo
Randomness of finite-state sequence machine over GF(4) and quality of hopping turbo codes
Fecha de publicación:
06/2013
Editorial:
Institution of Engineering and Technology
Revista:
Iet Communications
ISSN:
1751-8628
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
In this study, the authors study a turbo-coding (TC) scheme, whose constituent codes are designed using convolutional encoders. These encoders are finite-state sequence machines (FSSMs) operating over the Galois Field, GF(4). The scheme includes encryption polynomials whose coefficients are selected every L steps, from the set of optimal polynomials of GF(4). Two cases are considered for the polynomial selection: periodical and random. This kind of encoder was studied in a previous study and a correspondence between the randomness of the encoded sequence and performance of the TC was conjectured. The main contribution of this study is to systematically confirm this correspondence, by analysing the randomness of the output and performance of the TC using several randomness quantifiers. Three of the quantifiers are defined on the basis of recurrence plots. Other two quantifiers are defined on the basis of the information theory. All the quantifiers allow one to justify why the proposed TC works better with random selection of the optimal polynomials and with small values of L. In summary, it is shown that a random selection of polynomials and a small L produce FSSMs with enhanced randomness properties and it is also shown that they produce the best quality of the TC, measured by means of the corresponding bit error rate.
Palabras clave:
RANDOMNESS
,
FINITE STATE
,
SEQUENCE MACHINE
,
GALOIS FIELD
,
TURBO CODES
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Articulos(CCT - MAR DEL PLATA)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - MAR DEL PLATA
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - MAR DEL PLATA
Citación
de Micco, Luciana; Petruzzi, David Mario; Larrondo, Hilda Angela; Castiñeira Moreira, Jorge; Randomness of finite-state sequence machine over GF(4) and quality of hopping turbo codes; Institution of Engineering and Technology; Iet Communications; 7; 9; 6-2013; 783-790
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