English

A Phenomenological Study on Threshold Improvement via Spatial Coupling

Information Theory 2015-05-27 v2 math.IT

Abstract

Kudekar et al. proved an interesting result in low-density parity-check (LDPC) convolutional codes: The belief-propagation (BP) threshold is boosted to the maximum-a-posteriori (MAP) threshold by spatial coupling. Furthermore, the authors showed that the BP threshold for code-division multiple-access (CDMA) systems is improved up to the optimal one via spatial coupling. In this letter, a phenomenological model for elucidating the essence of these phenomenon, called threshold improvement, is proposed. The main result implies that threshold improvement occurs for spatially-coupled general graphical models.

Keywords

Cite

@article{arxiv.1102.3056,
  title  = {A Phenomenological Study on Threshold Improvement via Spatial Coupling},
  author = {Keigo Takeuchi and Toshiyuki Tanaka and Tsutomu Kawabata},
  journal= {arXiv preprint arXiv:1102.3056},
  year   = {2015}
}

Comments

re-submitted to IEICE Trans. Fundamentals

R2 v1 2026-06-21T17:26:30.843Z