English

LLR Approximation for Wireless Channels Based on Taylor Series and Its Application to BICM with LDPC Codes

Information Theory 2015-03-19 v2 math.IT

Abstract

A new approach for the approximation of the channel log-likelihood ratio (LLR) for wireless channels based on Taylor series is proposed. The approximation is applied to the uncorrelated flat Rayleigh fading channel with unknown channel state information at the receiver. It is shown that the proposed approximation greatly simplifies the calculation of channel LLRs, and yet provides results almost identical to those based on the exact calculation of channel LLRs. The results are obtained in the context of bit-interleaved coded modulation (BICM) schemes with low-density parity-check (LDPC) codes, and include threshold calculations and error rate performance of finite-length codes. Compared to the existing approximations, the proposed method is either significantly less complex, or considerably more accurate.

Keywords

Cite

@article{arxiv.1103.2607,
  title  = {LLR Approximation for Wireless Channels Based on Taylor Series and Its Application to BICM with LDPC Codes},
  author = {Reza Asvadi and Amir H. Banihashemi and Mahmoud Ahmadian-Attari and Hamid Saeedi},
  journal= {arXiv preprint arXiv:1103.2607},
  year   = {2015}
}

Comments

submitted to IEEE Trans. Commun

R2 v1 2026-06-21T17:39:02.910Z