TY - GEN

T1 - Termination and tailbiting of direct product convolutional codes

AU - Vatta, Francesca

AU - Schiavi, Andrea

AU - Sidorenko, Vladimir

AU - Bossert, Martin

PY - 2009/12/7

Y1 - 2009/12/7

N2 - In this paper we propose some algorithms for the termination and tailbiting of direct product convolutional codes, whose definition was given in a previous paper by M. Bossert, C. Medina, and V. Sidorenko. There, the properties of these codes were investigated analyzing their generator and parity check matrices. We assume to encode these codes by feedback convolutional encoders realized in controller canonical form. The relationship between the direct product encoder state sequence and the parameters of the vertical and horizontal constituent encoders is derived first. Afterwards, given a generic information sequence, it is shown how to find the terminating sequence for the direct product encoder and an algorithm is also proposed for tailbiting, i.e., for finding the encoder starting state such that the encoder, after being fed with the information sequence, ends in the same state where it started from.

AB - In this paper we propose some algorithms for the termination and tailbiting of direct product convolutional codes, whose definition was given in a previous paper by M. Bossert, C. Medina, and V. Sidorenko. There, the properties of these codes were investigated analyzing their generator and parity check matrices. We assume to encode these codes by feedback convolutional encoders realized in controller canonical form. The relationship between the direct product encoder state sequence and the parameters of the vertical and horizontal constituent encoders is derived first. Afterwards, given a generic information sequence, it is shown how to find the terminating sequence for the direct product encoder and an algorithm is also proposed for tailbiting, i.e., for finding the encoder starting state such that the encoder, after being fed with the information sequence, ends in the same state where it started from.

UR - http://www.scopus.com/inward/record.url?scp=76249134457&partnerID=8YFLogxK

U2 - 10.1109/ITW.2009.5351424

DO - 10.1109/ITW.2009.5351424

M3 - Conference contribution

AN - SCOPUS:76249134457

SN - 9781424449835

T3 - 2009 IEEE Information Theory Workshop, ITW 2009

SP - 213

EP - 217

BT - 2009 IEEE Information Theory Workshop, ITW 2009

T2 - 2009 IEEE Information Theory Workshop, ITW 2009

Y2 - 11 October 2009 through 16 October 2009

ER -