4.2 Article

A Phenomenological Study on Threshold Improvement via Spatial Coupling

Publisher

IEICE-INST ELECTRONICS INFORMATION COMMUNICATIONS ENG
DOI: 10.1587/transfun.E95.A.974

Keywords

spatial coupling; threshold saturation; belief propagation (BP); dynamical systems

Funding

  1. MEXT, Japan [23760329]
  2. Grants-in-Aid for Scientific Research [23760329] Funding Source: KAKEN

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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.

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