Iterative decoding of Gold sequences

Mathieu Des Noes (1) , Valentin Savin (1) , Jean-Marc Brossier (2) , Laurent Ros (2)

1 CEA-LETI - Commissariat à l'énergie atomique et aux énergies alternatives - Laboratoire d'Electronique et de Technologie de l'Information
2 GIPSA-CICS - GIPSA - Communication Information and Complex Systems

Gold sequences are widely used in communications and positioning systems for synchronization purposes or spread spectrum transmissions. This paper addresses the decoding of the initial state of a Gold sequence. This can be used to detect a harmful interferer closed to a 3G femtocell base station and implement interference mitigation techniques. The decoder implements an iterative message-passing algorithm which is built upon a parity check matrix. Thus, it depends on the coding properties of Gold codes. In this paper, we synthesize the coding properties of Gold codes and use them to compute the number of parity check equations of weight t = 3, 4 or 5. Eventually, the impact of the parity check equations used for decoding is highlighted.

Mots clés: iterative decoding; Gold codes; maximum-length sequences; parity check equations

Domaines: Traitement du signal et de l'image [eess.SP]

Mathieu Des Noes, Valentin Savin, Jean-Marc Brossier, Laurent Ros. Iterative decoding of Gold sequences. ICC 2015 - IEEE International Conference on Communications, IEEE, Jun 2015, Londres, United Kingdom. ⟨10.1109/ICC.2015.7249089⟩. ⟨hal-01261972v2⟩